Computational physics: simulation of classical and quantum systems
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer International Publishing Switzerland
2013
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| Ausgabe: | 2. ed. |
| Schriftenreihe: | Graduate Texts in Physics
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| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783319004013 |
| DOI: | 10.1007/978-3-319-00401-3 |
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Datensatz im Suchindex
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| adam_text | COMPUTATIONAL PHYSICS
/ SCHERER, PHILIPP O.J.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PART I NUMERICAL METHODS
ERROR ANALYSIS
INTERPOLATION
NUMERICAL DIFFERENTIATION
NUMERICAL INTEGRATION
SYSTEMS OF INHOMOGENEOUS LINEAR EQUATIONS
ROOTS AND EXTREMAL POINTS
FOURIER TRANSFORMATION
RANDOM NUMBERS AND MONTE-CARLO METHODS
EIGENVALUE PROBLEMS
DATA FITTING
DISCRETIZATION OF DIFFERENTIAL EQUATIONS
EQUATIONS OF MOTION
PART II SIMULATION OF CLASSICAL AND QUANTUM SYSTEMS
ROTATIONAL MOTION
MOLECULAR DYNAMICS
THERMODYNAMIC SYSTEMS
RANDOM WALK AND BROWNIAN MOTION
ELECTROSTATICS
WAVES
DIFFUSION
NONLINEAR SYSTEMS
SIMPLE QUANTUM SYSTEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
COMPUTATIONAL PHYSICS
/ SCHERER, PHILIPP O.J.
: 2013
ABSTRACT / INHALTSTEXT
THIS TEXTBOOK PRESENTS BASIC AND ADVANCED COMPUTATIONAL PHYSICS IN A
VERY DIDACTIC STYLE. IT CONTAINS VERY-WELL-PRESENTED AND SIMPLE
MATHEMATICAL DESCRIPTIONS OF MANY OF THE MOST IMPORTANT ALGORITHMS USED
IN COMPUTATIONAL PHYSICS. MANY CLEAR MATHEMATICAL DESCRIPTIONS OF
IMPORTANT TECHNIQUES IN COMPUTATIONAL PHYSICS ARE GIVEN. THE FIRST PART
OF THE BOOK DISCUSSES THE BASIC NUMERICAL METHODS. A LARGE NUMBER OF
EXERCISES AND COMPUTER EXPERIMENTS ALLOWS TO STUDY THE PROPERTIES OF
THESE METHODS. THE SECOND PART CONCENTRATES ON SIMULATION OF CLASSICAL
AND QUANTUM SYSTEMS. IT USES A RATHER GENERAL CONCEPT FOR THE EQUATION
OF MOTION WHICH CAN BE APPLIED TO ORDINARY AND PARTIAL DIFFERENTIAL
EQUATIONS. SEVERAL CLASSES OF INTEGRATION METHODS ARE DISCUSSED
INCLUDING NOT ONLY THE STANDARD EULER AND RUNGE KUTTA METHOD BUT ALSO
MULTISTEP METHODS AND THE CLASS OF VERLET METHODS WHICH IS INTRODUCED BY
STUDYING THE MOTION IN LIOUVILLE SPACE.BESIDES THE CLASSICAL METHODS,
INVERSE INTERPOLATION IS DISCUSSED, TOGETHER WITH THE POPULAR COMBINED
METHODS BY DEKKER AND BRENT AND A NOT SO WELL KNOWN IMPROVEMENT BY
CHANDRUPATLA. A GENERAL CHAPTER ON THE NUMERICAL TREATMENT OF
DIFFERENTIAL EQUATIONS PROVIDES METHODS OF FINITE DIFFERENCES, FINITE
VOLUMES, FINITE ELEMENTS AND BOUNDARY ELEMENTS TOGETHER WITH SPECTRAL
METHODS AND WEIGHTED RESIDUAL BASED METHODS. A COMPARISON OF SEVERAL
METHODS FOR QUANTUM SYSTEMS IS PERFORMED, CONTAINING PSEUDO-SPECTRAL
METHODS, FINITE DIFFERENCES METHODS, RATIONAL APPROXIMATION TO THE TIME
EVOLUTION OPERATOR, SECOND ORDER DIFFERENCING AND SPLIT OPERATOR
METHODS. THE BOOK GIVES SIMPLE BUT NON TRIVIAL EXAMPLES FROM A BROAD
RANGE OF PHYSICAL TOPICS TRYING TO GIVE THE READER INSIGHT INTO THE
NUMERICAL TREATMENT BUT ALSO THE SIMULATED PROBLEMS. ROTATIONAL MOTION
IS TREATED IN MUCH DETAIL TO DESCRIBE THE MOTION OF RIGID ROTORS WHICH
CAN BE JUST A SIMPLE SPINNING TOP OR A COLLECTION OF MOLECULES OR
PLANETS.THE BEHAVIOUR OF SIMPLE QUANTUM SYSTEMS IS STUDIED THOROUGHLY.
ONE FOCUS IS ON A TWO LEVEL SYSTEM IN AN EXTERNAL FIELD. SOLUTION OF THE
BLOCH EQUATIONS ALLOWS THE SIMULATION OF A QUANTUM BIT AND TO UNDERSTAND
ELEMENTARY PRINCIPLES FROM QUANTUM OPTICS. AS AN EXAMPLE OF A
THERMODYNAMIC SYSTEM, THE LENNARD JONES LIQUID IS SIMULATED. THE
PRINCIPLES OF MOLECULAR DYNAMICS ARE SHOWN WITH PRACTICAL SIMULATIONS. A
SECOND THERMODYNAMIC TOPIC IS THE ISING MODEL IN ONE AND TWO DIMENSIONS.
THE SOLUTION OF THE POISSON BOLTZMAN EQUATION IS DISCUSSED IN DETAIL
WHICH IS VERY IMPORTANT IN BIOPHYSICS AS WELL AS IN SEMICONDUCTOR
PHYSICS. BESIDES THE STANDARD FINITE ELEMENT METHODS, ALSO MODERN
BOUNDARY ELEMENT METHODS ARE DISCUSSED. WAVES AND DIFFUSION PROCESSES
ARE SIMULATED. DIFFERENT METHODS ARE COMPARED WITH REGARD TO THEIR
STABILITY AND EFFICIENCY. RANDOM WALK MODELS ARE STUDIED WITH
APPLICATION TO BASIC POLYMER PHYSICS.NONLINEAR SYSTEMS ARE DISCUSSED IN
DETAIL WITH APPLICATION TO POPULATION DYNAMICS AND REACTION DIFFUSION
SYSTEMS. THE EXERCISES TO THE BOOK ARE REALIZED AS COMPUTER EXPERIMENTS.
A LARGE NUMBER OF JAVA APPLETS IS PROVIDED. IT CAN BE TRIED OUT BY THE
READER EVEN WITHOUT PROGRAMMING SKILLS. THE INTERESTED READER CAN MODIFY
THE PROGRAMS WITH THE HELP OF THE FREELY AVAILABLE AND PLATFORM
INDEPENDENT PROGRAMMING ENVIRONMENT NETBEANS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| dewey-full | 530.0285 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
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| discipline | Physik Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-319-00401-3 |
| edition | 2. ed. |
| format | Electronic eBook |
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| spelling | Scherer, Philipp O. J. Verfasser (DE-588)110745108 aut Computational physics simulation of classical and quantum systems Philipp O. J. Scherer 2. ed. Cham [u.a.] Springer International Publishing Switzerland 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Physics Computerphysik (DE-588)4273564-6 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Computerphysik (DE-588)4273564-6 s DE-604 Erscheint auch als Druckausgabe 978-3-319-00400-6 https://doi.org/10.1007/978-3-319-00401-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026181108&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026181108&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Scherer, Philipp O. J. Computational physics simulation of classical and quantum systems Computerphysik (DE-588)4273564-6 gnd |
| subject_GND | (DE-588)4273564-6 (DE-588)4123623-3 |
| title | Computational physics simulation of classical and quantum systems |
| title_auth | Computational physics simulation of classical and quantum systems |
| title_exact_search | Computational physics simulation of classical and quantum systems |
| title_full | Computational physics simulation of classical and quantum systems Philipp O. J. Scherer |
| title_fullStr | Computational physics simulation of classical and quantum systems Philipp O. J. Scherer |
| title_full_unstemmed | Computational physics simulation of classical and quantum systems Philipp O. J. Scherer |
| title_short | Computational physics |
| title_sort | computational physics simulation of classical and quantum systems |
| title_sub | simulation of classical and quantum systems |
| topic | Computerphysik (DE-588)4273564-6 gnd |
| topic_facet | Computerphysik Lehrbuch |
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