Exploring quantum mechanics: a collection of 700+ solved problems for students, lecturers, and researchers
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Oxford
Oxford Univ. Press
2013
|
| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XIII, 881 S. graph. Darst. |
| ISBN: | 9780199232710 0199232717 9780199232727 0199232725 |
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Record in the Search Index
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| adam_text | Titel: Exploring quantum mechanics
Autor: Galickij, Viktor Michajlovič
Jahr: 2013
Contents
Symbols used in the book xiv
Notations often used in the book xv
Universal constants xvi
1 Operators in quantum mechanics 1
1.1 Basic concepts of the theory of linear Operators 2
1.2 Eigenfunctions, eigenvalues, mean values 8
1.3 The projection Operators 20
1.4 Quantum-mechanical representations of Operators and wave-functions;
Unitary Operators 22
2 One-dimensional motion 32
2.1 Stationary states in discrete spectrum 33
2.2 The Schrödinger equation in momentum space; The Green function
and integral form of the Schrödinger equation 46
2.3 The continuous spectrum; Refiection from and transmission through
Potential barriers 56
2.4 Systems with several degrees of freedom; Particle in a periodic potential 74
3 Orbital angular momentum 84
3.1 General properties of angular momentum 86
3.2 Angular momentum, 1 = 1 94
3.3 Addition of angular momenta 99
3.4 Tensor formalism in angular momentum theory 109
4 Motion in a spherically-symmetric potential 116
4.1 Discrete spectrum states in central fields 117
4.2 Low-energy states 141
4.3 Symmetries of the Coulomb problem 153
4.4 Systems with axial symmetry 158
5 Spin 165
5.1 Spins = 1/2 166
5.2 Spin-orbital states with spin s = 1/2; Higher spins 180
5.3 Spin density matrix; Angular distributions in decays 191
5.4 Bound states of spin-orbit-coupled particles 198
5.5 Coherent-state spin path-integral 202
xii Contents
6 Time-dependent quantum mechanics 213
6.1 The Schrödinger representation; The motion of wave packets 214
6.2 Time-dependent observables; Constants of motion 225
6.3 Time-dependent unitary transformations; The Heisenberg
picture of motion 232
6.4 The time-dependent Green function 247
6.5 Quasistationary and quasi-energy states; Berry phase 252
7 Motion in a magnetic field 270
7.1 Stationary states in a magnetic field 271
7.2 Time-dependent quantum mechanics in a magnetic field 286
7.3 Magnetic field of the orbital currents and
spin magnetic moment 291
8 Perturbation theory; Variational method; Sudden
and adiabatic theory 296
8.1 Stationary perturbation theory (discrete spectrum) 298
8.2 Variational method 316
8.3 Stationary perturbation theory (continuous spectrum) 325
8.4 Non-stationary perturbation theory; Transitions in continuous
spectrum 336
8.5 Sudden perturbations 353
8.6 Adiabatic approximation 358
9 Quasi-classical approximation; 1/iV-expansion in
quantum mechanics 374
9.1 Quasi-classical energy quantization 381
9.2 Quasi-classical wavefunctions, probabilities, and mean values 408
9.3 Penetration through potential barriers 420
9.4 1/iV-expansion in quantum mechanics 436
10 Identical particles; Second quantization 447
10.1 Quantum statistics; Symmetry of wavefunctions 448
10.2 Elements of the second quantization formalism
(the occupation-number representation) 456
10.3 The simplest Systems with a large number of
particles (N » 1) 472
11 Atoms and molecules 485
11.1 Stationary states of one-electron and two-electron atoms 486
11.2 Many-electron atoms; Statistical atomic model 509
11.3 Principles of two-atom-molecule theory 525
11.4 Atoms and molecules in external fields; Interaction of atomic Systems 536
11.5 Non-stationary phenomena in atomic Systems 565
Contents xiii
12 Atomic nucleus 598
12.1 Nuclear forces-the fundamentals; The deuteron 600
12.2 The shell model 612
12.3 Isotopic invariance 627
13 Particle collisions 637
13.1 Born approximation 642
13.2 Scattering theory: partial-wave analysis 663
13.3 Low-energy scattering; Resonant scattering 675
13.4 Scattering of fast particles; Eikonal approximation 713
13.5 Scattering of particles with spin 726
13.6 Analytic properties of the scattering amplitude 737
13.7 Scattering of composite quantum particles; Inelastic collisions 747
14 Quantum radiation theory 776
14.1 Photon emission 779
14.2 Photon scattering; Photon emission in collisions 790
15 Relativistic wave equations 810
15.1 The Klein-Gordon equation 812
15.2 The Dirac equation 838
16 Appendix 866
16.1 App.l. Integrals and integral relations 866
16.2 App.2. Cylinder functions 867
Index 871
|
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| building | Verbundindex |
| bvnumber | BV039985681 |
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| classification_tum | PHY 020f |
| ctrlnum | (OCoLC)785859578 (DE-599)BVBBV039985681 |
| discipline | Physik |
| edition | 1. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T00:15:37Z |
| institution | BVB |
| isbn | 9780199232710 0199232717 9780199232727 0199232725 |
| language | English |
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| physical | XIII, 881 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spelling | Exploring quantum mechanics a collection of 700+ solved problems for students, lecturers, and researchers Victor Galitski ... 1. ed. Oxford Oxford Univ. Press 2013 XIII, 881 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Quantum theory / Problems, exercises, etc Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Quantenmechanik (DE-588)4047989-4 s DE-604 Galickij, Viktor Michajlovič 1924-1981 Sonstige (DE-588)1032342129 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024842957&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Exploring quantum mechanics a collection of 700+ solved problems for students, lecturers, and researchers Quantum theory / Problems, exercises, etc Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4143389-0 |
| title | Exploring quantum mechanics a collection of 700+ solved problems for students, lecturers, and researchers |
| title_auth | Exploring quantum mechanics a collection of 700+ solved problems for students, lecturers, and researchers |
| title_exact_search | Exploring quantum mechanics a collection of 700+ solved problems for students, lecturers, and researchers |
| title_full | Exploring quantum mechanics a collection of 700+ solved problems for students, lecturers, and researchers Victor Galitski ... |
| title_fullStr | Exploring quantum mechanics a collection of 700+ solved problems for students, lecturers, and researchers Victor Galitski ... |
| title_full_unstemmed | Exploring quantum mechanics a collection of 700+ solved problems for students, lecturers, and researchers Victor Galitski ... |
| title_short | Exploring quantum mechanics |
| title_sort | exploring quantum mechanics a collection of 700 solved problems for students lecturers and researchers |
| title_sub | a collection of 700+ solved problems for students, lecturers, and researchers |
| topic | Quantum theory / Problems, exercises, etc Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantum theory / Problems, exercises, etc Quantentheorie Quantenmechanik Aufgabensammlung |
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