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Computational many particle physics:

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Bibliographic Details
Other Authors:	Fehske, Holger 1956- (Editor)
Format:	Kit Book
Language:	English
Published:	Berlin [u.a.] Springer 2008
Series:	Lecture notes in physics 739
Subjects:	Numerisches Verfahren Vielteilchensystem Quantenmechanisches System
Online Access:	Inhaltsverzeichnis
Physical Description:	XV, 780 S. Ill.
ISBN:	9783540746850 3540746854

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adam_text	Contents Part I Molecular Dynamics 1 Introduction to Molecular Dynamics Ralf Schneider, Amit Raj Sharma, and Abha Rai ........................ 3 1.1 Basic Approach ............................................... 3 1.2 Macroscopic Parameters ........................................ 6 1.3 Inter-Atomic Potentials ......................................... 8 1.4 Numerical Integration Techniques ................................ 14 1.5 Analysis of MD Runs .......................................... 18 1.6 From Classical to Quantum-Mechanical MD ....................... 23 1.7 Ab Initio MD ................................................. 24 1.8 Car-Parrinello Molecular Dynamics .............................. 25 1.9 Potential Energy Surface ....................................... 28 1.10 Advanced Numerical Methods ................................... 29 References ......................................................... 37 2 Wigner Function Quantum Molecular Dynamics V. S. Filinov, M. Bonitz, A. Filinov, and V. O. Golubnychiy ................ 41 2.1 Quantum Distribution Functions ................................. 41 2.2 Semiclassical Molecular Dynamics ............................... 43 2.3 Quantum Dynamics ............................................. 50 2.4 Time Correlation Functions in the Canonical Ensemble .............. 54 2.5 Discussion ................................................... 58 References ......................................................... 59 Part II Classical Monte Carlo 3 The Monte Carlo Method, an Introduction Detlev Reiter.................................................... 63 3.1 What is a Monte Carlo Calculation? .............................. 63 3.2 Random Number Generation .................................... 67 3.3 Integration by Monte Carlo ..................................... 71 3.4 Summary .................................................... 77 References ......................................................... 78 X Contents 4 Monte Carlo Methods in Classical Statistical Physics Wolfltard Janke .................................................. 79 4.1 Introduction .................................................. 79 4.2 Statistical Physics Primer ....................................... 80 4.3 The Monte Carlo Method ....................................... 85 4.4 Cluster Algorithms ............................................ 93 4.5 Statistical Analysis of Monte Carlo Data .......................... 99 4.6 Reweighting Techniques ........................................108 4.7 Finite-Size Scaling Analysis ....................................114 4.8 Generalized Ensemble Methods ..................................129 4.9 Concluding Remarks ...........................................135 References .........................................................135 5 The Monte Carlo Method for Particle Transport Problems Detlev Reiter....................................................141 5.1 Transport Problems and Stochastic Processes ......................141 5.2 The Transport Equation: Fredholm Integral Equation of Second Kind .......................................143 5.3 The Boltzmann Equation .......................................144 5.4 The Linear Integral Equation for the Collision Density ..............147 5.5 Monte Carlo Solution ..........................................150 5.6 Some Special Sampling Techniques ..............................154 5.7 An Illustrative Example ........................................156 References .........................................................158 Part III Kinetic Modelling 6 The Particle-in-Cell Method David Tskhakaya .................................................161 6.1 General Remarks ..............................................161 6.2 Integration of Equations of Particle Motion ........................163 6.3 Plasma Source and Boundary Effects .............................166 6.4 Calculation of Plasma Parameters and Fields Acting on Particles ............................................170 6.5 Solution of Maxwell s Equations .................................175 6.6 Particle Collisions .............................................183 6.7 Final Remarks ................................................188 References .........................................................188 7 Gyrokinetic and Gyrofluid Theory and Simulation of Magnetized Plasmas Richard D, Sydora ................................................ 191 7.1 Introduction ..................................................191 7.2 Single Particle Dynamics .......................................193 7.3 Continuum Gyrokinetics ........................................200 Contents XI 7.4 Gyrofluid Model ..............................................204 7.5 Gyrokinetic Particle Simulation Model ............................207 7.6 Gyrokinetic Particle Simulation Model Applications ................210 7.7 Summary ....................................................217 References .........................................................218 Part IV Semiclassical Approaches 8 Boltzmann Transport in Condensed Matter Franz Xaver Bronold..............................................223 8.1 Boltzmann Equation for Quasiparticles ...........................223 8.2 Techniques for the Solution of the Boltzmann Equation ..............230 8.3 Conclusions .................................................. 252 References .........................................................253 9 Semiclassical Description of Quantum Many-Particle Dynamics in Strong Laser Fields Thomas Fennel and Jörg Köhn......................................255 9.1 Semiclassical Many-Particle Dynamics in Mean-Field Approximation ...................................255 9.2 Semiclassical Ground State .....................................261 9.3 Application to Simple-Metal Clusters .............................265 References .........................................................272 Part V Quantum Monte Carlo 10 World-line and Determinantal Quantum Monte Carlo Methods for Spins, Phonons and Electrons F.F. Assaad andH.G. Evertz ........................................277 10.1 Introduction ..................................................277 10.2 Discrete Imaginary Time World Lines for the XXZ Spin Chain ........................................278 10.3 World-Line Representations without Discretization Error ............299 10.4 Loop Operator Representation of the Heisenberg Model .......................................303 10.5 Spin-Phonon Simulations .......................................308 10.6 Auxiliary Field Quantum Monte Carlo Methods ....................312 10.7 Numerical Stabilization Schemes for Lattice Models ................325 10.8 The Hirsch-Fye Impurity Algorithm ..............................337 10.9 Selected Applications of the Auxiliary Field Method ................344 10.10 Conclusion ...................................................345 10.A The Trotter Decomposition .....................................345 XII Contents ÎO.B The Hubbard-Stratonovich Decomposition ........................347 10.C Slater Determinants and their Properties ...........................349 References .........................................................353 11 Autocorrelations in Quantum Monte Carlo Simulations of Electron-Phonon Models Martin Hohenadler and Thomas С Lang ..............................357 11.1 Introduction ..................................................357 11.2 Holstein Model ...............................................358 11.3 Numerical Methods ............................................358 11.4 Problem of Autocorrelations ....................................360 11.5 Origin of Autocorrelations and Principal Components ...............363 11.6 Conclusions ..................................................365 References .........................................................366 12 Diagrammatic Monte Carlo and Stochastic Optimization Methods for Complex Composite Objects in Macroscopic Baths A. S. Mishchenko .................................................367 12.1 Introduction ..................................................367 12.2 Physical Properties of Interest ...................................372 12.3 The Diagrammatic Monte Carlo Method ..........................374 12.4 Stochastic Optimization Method .................................391 12.5 Conclusions and Perspectives ...................................393 References .........................................................394 13 Path Integral Monte Carlo Simulation of Charged Particles in Traps Alexei Filinov, Jens Boning, and Michael Bonitz ........................397 13.1 Introduction ..................................................397 13.2 Idea of Path Integral Monte Carlo ................................397 13.3 Basic Numerical Issues of PIMC .................................401 13.4 PIMC for Degenerate Bose Systems ..............................406 13.5 Discussion ...................................................410 References .........................................................411 Part VI Ab-Initio Methods in Physics and Chemistry 14 Ab-Initio Approach to the Many-Electron Problem Alexander Quandi ................................................415 14.1 Introduction ..................................................415 14.2 An Orbital Approach to Chemistry ...............................419 14.3 Hartree-Fock Theory ...........................................427 14.4 Density Functional Theory ......................................432 References .........................................................435 Contents XIII 15 Ab-Initio Methods Applied to Structure Optimization and Microscopic Modelling Alexander Quandi ................................................437 15.1 Exploring Energy Hypersurfaces .................................437 15.2 Applied Theoretical Chemistry ..................................444 15.3 Model Hamiltonians ...........................................451 15.4 Summary and Outlook .........................................465 15. A Links to Popular Ab Initio Packages ..............................466 References .........................................................467 Part VII Effective Field Approaches 16 Dynamical Mean-Field Approximation and Cluster Methods for Correlated Electron Systems Thomas Pruschke ................................................473 16.1 Introduction ..................................................473 16.2 Mean-Field Theory for Correlated Electron Systems ................475 16.3 Extending the DMFT: Effective Cluster Theories ...................492 16.4 Conclusions ..................................................499 References .........................................................501 17 Local Distribution Approach Andreas Alvermann and Holger Fehske ...............................505 17.1 Introduction ..................................................505 17.2 Applications of the LD Approach ................................514 17.3 Summary ....................................................525 References .........................................................526 Part VIII Iterative Methods for Sparse Eigenvalue Problems 18 Exact Diagonalization Techniques Alexander Weiße and Holger Fehske .................................529 18.1 Basis Construction .............................................529 18.2 Eigenstates of Sparse Matrices ...................................539 References .........................................................543 19 Chebyshev Expansion Techniques Alexander Weiße and Holger Fehske .................................545 19.1 Chebyshev Expansion and Kernel Polynomial Approximation ........545 19.2 Applications of the Kernel Polynomial Method .....................554 19.3 KPM in Relation to other Numerical Approaches ...................568 References .........................................................575 XIV Contents Part IX The Density Matrix Renormalisation Group: Concepts and Applications 20 The Conceptual Background of Density-Matrix Renormalization Ingo Pescliel and Viktor Eisler ......................................581 20.1 Introduction ..................................................581 20.2 Entangled States ..............................................581 20.3 Reduced Density Matrices ......................................582 20.4 Solvable Models ..............................................583 20.5 Spectra ......................................................586 20.6 Entanglement Entropy .........................................589 20.7 Matrix-Product States ..........................................593 20.8 Summary ....................................................594 References .........................................................594 21 Density-Matrix Renormalization Group Algorithms Eric Jeckelmann .................................................597 21.1 Introduction ..................................................597 21.2 Matrix-Product States and (Super-)Blocks .........................598 21.3 Numerical Renormalization Group ...............................600 21.4 Infinite-System DMRG Algorithm ...............................602 21.5 Finite-System DMRG Algorithm ................................607 21.6 Additive Quantum Numbers .....................................611 21.7 Truncation Errors ..............................................613 21.8 Computational Cost and Optimization ............................616 21.9 Basic Extensions ..............................................617 References .........................................................618 22 Dynamical Density-Matrix Renormalization Group Eric Jeckelmann and Holger Benthien ................................621 22.1 Introduction ..................................................621 22.2 Methods for Simple Discrete Spectra .............................623 22.3 Dynamical DMRG ............................................626 22.4 Finite-Size Scaling ............................................630 22.5 Momentum-Dependent Quantities ................................631 22.6 Application: Spectral Function of the Hubbard Model ...............632 References .........................................................634 23 Studying Time-Dependent Quantum Phenomena with the Density-Matrix Renormalization Group Reinhard M. Noack, Salvatore R. Manmana, Stefan Wessel, and Alejandro Muramatsu .........................................637 23.1 Time Dependence in Interacting Quantum Systems .................637 23.2 Sudden Quench of Interacting Fermions ...........................643 23.3 Discussion ....................................................650 References .........................................................651 Contents XV 24 Applications of Quantum Information in the Density-Matrix Renormalization Group O. Legeza, R.M. Noack, J. Sólyom, and L. Tincani .......................653 24.1 Basic Concepts of Quantum Information Theory ...................653 24.2 Entropie Analysis of Quantum Phase Transitions ...................657 24.3 Discussion and Outlook ........................................662 References .........................................................663 25 Density-Matrix Renormalization Group for Transfer Matrices: Static and Dynamical Properties of ID Quantum Systems at Finite Temperature Stefan Glocke, Andreas Kliimper, and Jesko Sirker ......................665 25.1 Introduction ..................................................665 25.2 Quantum Transfer Matrix Theory ................................666 25.3 The Method - DMRG Algorithm for the QTM .....................669 25.4 An Example: The Spin- 1/2 Heisenberg Chain with Staggered and Uniform Magnetic Fields .......................................671 25.5 Impurity and Boundary Contributions .............................672 25.6 Real-Time Dynamics ..........................................673 References .........................................................676 Part X Concepts of High Performance Computing 26 Architecture and Performance Characteristics of Modern High Performance Computers Georg Hager and Gerhard Wellein ...................................681 26.1 Microprocessors ..............................................682 26.2 Parallel Computing ............................................701 26.3 Conclusion and Outlook ........................................729 References .........................................................729 27 Optimization Techniques for Modern High Performance Computers Georg Hager and Gerhard Wellein ...................................731 27.1 Optimizing Serial Code ........................................732 27.2 Shared-Memory Parallelization ..................................755 27.3 Conclusion and Outlook ........................................766 References .........................................................767 Appendix: Abbreviations ............................................769 Index ..............................................................773
adam_txt	Contents Part I Molecular Dynamics 1 Introduction to Molecular Dynamics Ralf Schneider, Amit Raj Sharma, and Abha Rai . 3 1.1 Basic Approach . 3 1.2 Macroscopic Parameters . 6 1.3 Inter-Atomic Potentials . 8 1.4 Numerical Integration Techniques . 14 1.5 Analysis of MD Runs . 18 1.6 From Classical to Quantum-Mechanical MD . 23 1.7 Ab Initio MD . 24 1.8 Car-Parrinello Molecular Dynamics . 25 1.9 Potential Energy Surface . 28 1.10 Advanced Numerical Methods . 29 References . 37 2 Wigner Function Quantum Molecular Dynamics V. S. Filinov, M. Bonitz, A. Filinov, and V. O. Golubnychiy . 41 2.1 Quantum Distribution Functions . 41 2.2 Semiclassical Molecular Dynamics . 43 2.3 Quantum Dynamics . 50 2.4 Time Correlation Functions in the Canonical Ensemble . 54 2.5 Discussion . 58 References . 59 Part II Classical Monte Carlo 3 The Monte Carlo Method, an Introduction Detlev Reiter. 63 3.1 What is a Monte Carlo Calculation? . 63 3.2 Random Number Generation . 67 3.3 Integration by Monte Carlo . 71 3.4 Summary . 77 References . 78 X Contents 4 Monte Carlo Methods in Classical Statistical Physics Wolfltard Janke . 79 4.1 Introduction . 79 4.2 Statistical Physics Primer . 80 4.3 The Monte Carlo Method . 85 4.4 Cluster Algorithms . 93 4.5 Statistical Analysis of Monte Carlo Data . 99 4.6 Reweighting Techniques .108 4.7 Finite-Size Scaling Analysis .114 4.8 Generalized Ensemble Methods .129 4.9 Concluding Remarks .135 References .135 5 The Monte Carlo Method for Particle Transport Problems Detlev Reiter.141 5.1 Transport Problems and Stochastic Processes .141 5.2 The Transport Equation: Fredholm Integral Equation of Second Kind .143 5.3 The Boltzmann Equation .144 5.4 The Linear Integral Equation for the Collision Density .147 5.5 Monte Carlo Solution .150 5.6 Some Special Sampling Techniques .154 5.7 An Illustrative Example .156 References .158 Part III Kinetic Modelling 6 The Particle-in-Cell Method David Tskhakaya .161 6.1 General Remarks .161 6.2 Integration of Equations of Particle Motion .163 6.3 Plasma Source and Boundary Effects .166 6.4 Calculation of Plasma Parameters and Fields Acting on Particles .170 6.5 Solution of Maxwell's Equations .175 6.6 Particle Collisions .183 6.7 Final Remarks .188 References .188 7 Gyrokinetic and Gyrofluid Theory and Simulation of Magnetized Plasmas Richard D, Sydora . 191 7.1 Introduction .191 7.2 Single Particle Dynamics .193 7.3 Continuum Gyrokinetics .200 Contents XI 7.4 Gyrofluid Model .204 7.5 Gyrokinetic Particle Simulation Model .207 7.6 Gyrokinetic Particle Simulation Model Applications .210 7.7 Summary .217 References .218 Part IV Semiclassical Approaches 8 Boltzmann Transport in Condensed Matter Franz Xaver Bronold.223 8.1 Boltzmann Equation for Quasiparticles .223 8.2 Techniques for the Solution of the Boltzmann Equation .230 8.3 Conclusions . 252 References .253 9 Semiclassical Description of Quantum Many-Particle Dynamics in Strong Laser Fields Thomas Fennel and Jörg Köhn.255 9.1 Semiclassical Many-Particle Dynamics in Mean-Field Approximation .255 9.2 Semiclassical Ground State .261 9.3 Application to Simple-Metal Clusters .265 References .272 Part V Quantum Monte Carlo 10 World-line and Determinantal Quantum Monte Carlo Methods for Spins, Phonons and Electrons F.F. Assaad andH.G. Evertz .277 10.1 Introduction .277 10.2 Discrete Imaginary Time World Lines for the XXZ Spin Chain .278 10.3 World-Line Representations without Discretization Error .299 10.4 Loop Operator Representation of the Heisenberg Model .303 10.5 Spin-Phonon Simulations .308 10.6 Auxiliary Field Quantum Monte Carlo Methods .312 10.7 Numerical Stabilization Schemes for Lattice Models .325 10.8 The Hirsch-Fye Impurity Algorithm .337 10.9 Selected Applications of the Auxiliary Field Method .344 10.10 Conclusion .345 10.A The Trotter Decomposition .345 XII Contents ÎO.B The Hubbard-Stratonovich Decomposition .347 10.C Slater Determinants and their Properties .349 References .353 11 Autocorrelations in Quantum Monte Carlo Simulations of Electron-Phonon Models Martin Hohenadler and Thomas С Lang .357 11.1 Introduction .357 11.2 Holstein Model .358 11.3 Numerical Methods .358 11.4 Problem of Autocorrelations .360 11.5 Origin of Autocorrelations and Principal Components .363 11.6 Conclusions .365 References .366 12 Diagrammatic Monte Carlo and Stochastic Optimization Methods for Complex Composite Objects in Macroscopic Baths A. S. Mishchenko .367 12.1 Introduction .367 12.2 Physical Properties of Interest .372 12.3 The Diagrammatic Monte Carlo Method .374 12.4 Stochastic Optimization Method .391 12.5 Conclusions and Perspectives .393 References .394 13 Path Integral Monte Carlo Simulation of Charged Particles in Traps Alexei Filinov, Jens Boning, and Michael Bonitz .397 13.1 Introduction .397 13.2 Idea of Path Integral Monte Carlo .397 13.3 Basic Numerical Issues of PIMC .401 13.4 PIMC for Degenerate Bose Systems .406 13.5 Discussion .410 References .411 Part VI Ab-Initio Methods in Physics and Chemistry 14 Ab-Initio Approach to the Many-Electron Problem Alexander Quandi .415 14.1 Introduction .415 14.2 An Orbital Approach to Chemistry .419 14.3 Hartree-Fock Theory .427 14.4 Density Functional Theory .432 References .435 Contents XIII 15 Ab-Initio Methods Applied to Structure Optimization and Microscopic Modelling Alexander Quandi .437 15.1 Exploring Energy Hypersurfaces .437 15.2 Applied Theoretical Chemistry .444 15.3 Model Hamiltonians .451 15.4 Summary and Outlook .465 15. A Links to Popular Ab Initio Packages .466 References .467 Part VII Effective Field Approaches 16 Dynamical Mean-Field Approximation and Cluster Methods for Correlated Electron Systems Thomas Pruschke .473 16.1 Introduction .473 16.2 Mean-Field Theory for Correlated Electron Systems .475 16.3 Extending the DMFT: Effective Cluster Theories .492 16.4 Conclusions .499 References .501 17 Local Distribution Approach Andreas Alvermann and Holger Fehske .505 17.1 Introduction .505 17.2 Applications of the LD Approach .514 17.3 Summary .525 References .526 Part VIII Iterative Methods for Sparse Eigenvalue Problems 18 Exact Diagonalization Techniques Alexander Weiße and Holger Fehske .529 18.1 Basis Construction .529 18.2 Eigenstates of Sparse Matrices .539 References .543 19 Chebyshev Expansion Techniques Alexander Weiße and Holger Fehske .545 19.1 Chebyshev Expansion and Kernel Polynomial Approximation .545 19.2 Applications of the Kernel Polynomial Method .554 19.3 KPM in Relation to other Numerical Approaches .568 References .575 XIV Contents Part IX The Density Matrix Renormalisation Group: Concepts and Applications 20 The Conceptual Background of Density-Matrix Renormalization Ingo Pescliel and Viktor Eisler .581 20.1 Introduction .581 20.2 Entangled States .581 20.3 Reduced Density Matrices .582 20.4 Solvable Models .583 20.5 Spectra .586 20.6 Entanglement Entropy .589 20.7 Matrix-Product States .593 20.8 Summary .594 References .594 21 Density-Matrix Renormalization Group Algorithms Eric Jeckelmann .597 21.1 Introduction .597 21.2 Matrix-Product States and (Super-)Blocks .598 21.3 Numerical Renormalization Group .600 21.4 Infinite-System DMRG Algorithm .602 21.5 Finite-System DMRG Algorithm .607 21.6 Additive Quantum Numbers .611 21.7 Truncation Errors .613 21.8 Computational Cost and Optimization .616 21.9 Basic Extensions .617 References .618 22 Dynamical Density-Matrix Renormalization Group Eric Jeckelmann and Holger Benthien .621 22.1 Introduction .621 22.2 Methods for Simple Discrete Spectra .623 22.3 Dynamical DMRG .626 22.4 Finite-Size Scaling .630 22.5 Momentum-Dependent Quantities .631 22.6 Application: Spectral Function of the Hubbard Model .632 References .634 23 Studying Time-Dependent Quantum Phenomena with the Density-Matrix Renormalization Group Reinhard M. Noack, Salvatore R. Manmana, Stefan Wessel, and Alejandro Muramatsu .637 23.1 Time Dependence in Interacting Quantum Systems .637 23.2 Sudden Quench of Interacting Fermions .643 23.3 Discussion .650 References .651 Contents XV 24 Applications of Quantum Information in the Density-Matrix Renormalization Group O. Legeza, R.M. Noack, J. Sólyom, and L. Tincani .653 24.1 Basic Concepts of Quantum Information Theory .653 24.2 Entropie Analysis of Quantum Phase Transitions .657 24.3 Discussion and Outlook .662 References .663 25 Density-Matrix Renormalization Group for Transfer Matrices: Static and Dynamical Properties of ID Quantum Systems at Finite Temperature Stefan Glocke, Andreas Kliimper, and Jesko Sirker .665 25.1 Introduction .665 25.2 Quantum Transfer Matrix Theory .666 25.3 The Method - DMRG Algorithm for the QTM .669 25.4 An Example: The Spin- 1/2 Heisenberg Chain with Staggered and Uniform Magnetic Fields .671 25.5 Impurity and Boundary Contributions .672 25.6 Real-Time Dynamics .673 References .676 Part X Concepts of High Performance Computing 26 Architecture and Performance Characteristics of Modern High Performance Computers Georg Hager and Gerhard Wellein .681 26.1 Microprocessors .682 26.2 Parallel Computing .701 26.3 Conclusion and Outlook .729 References .729 27 Optimization Techniques for Modern High Performance Computers Georg Hager and Gerhard Wellein .731 27.1 Optimizing Serial Code .732 27.2 Shared-Memory Parallelization .755 27.3 Conclusion and Outlook .766 References .767 Appendix: Abbreviations .769 Index .773
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illustrated	Illustrated
index_date	2024-07-02T19:10:46Z
indexdate	2024-07-09T21:09:00Z
institution	BVB
isbn	9783540746850 3540746854
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016218755
oclc_num	633672129
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owner	DE-703 DE-384 DE-355 DE-BY-UBR DE-20 DE-11 DE-188 DE-19 DE-BY-UBM
owner_facet	DE-703 DE-384 DE-355 DE-BY-UBR DE-20 DE-11 DE-188 DE-19 DE-BY-UBM
physical	XV, 780 S. Ill.
publishDate	2008
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publishDateSort	2008
publisher	Springer
record_format	marc
series	Lecture notes in physics
series2	Lecture notes in physics
spelling	Computational many particle physics H. Fehske ... (eds.) Computational many-particle physics Berlin [u.a.] Springer 2008 XV, 780 S. Ill. Lecture notes in physics 739 Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Quantenmechanisches System (DE-588)4300046-0 s Fehske, Holger 1956- (DE-588)110967542 edt Lecture notes in physics 739 (DE-604)BV000003166 739 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016218755&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Computational many particle physics Lecture notes in physics Numerisches Verfahren (DE-588)4128130-5 gnd Vielteilchensystem (DE-588)4063491-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd
subject_GND	(DE-588)4128130-5 (DE-588)4063491-7 (DE-588)4300046-0
title	Computational many particle physics
title_alt	Computational many-particle physics
title_auth	Computational many particle physics
title_exact_search	Computational many particle physics
title_exact_search_txtP	Computational many particle physics
title_full	Computational many particle physics H. Fehske ... (eds.)
title_fullStr	Computational many particle physics H. Fehske ... (eds.)
title_full_unstemmed	Computational many particle physics H. Fehske ... (eds.)
title_short	Computational many particle physics
title_sort	computational many particle physics
topic	Numerisches Verfahren (DE-588)4128130-5 gnd Vielteilchensystem (DE-588)4063491-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd
topic_facet	Numerisches Verfahren Vielteilchensystem Quantenmechanisches System
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016218755&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000003166
work_keys_str_mv	AT fehskeholger computationalmanyparticlephysics

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