Non-relativistic quantum theory: dynamics, symmetry, and geometry
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hackensack, N.J.
World Scientific
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XV, 441 S. graph. Darst. |
| ISBN: | 9789814271790 9814271799 |
Staff View
MARC
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| 100 | 1 | |a Lam, Kai S. |d 1949- |e Verfasser |0 (DE-588)139867686 |4 aut | |
| 245 | 1 | 0 | |a Non-relativistic quantum theory |b dynamics, symmetry, and geometry |c Kai S Lam |
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| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Nonrelativistic quantum mechanics | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
vii
1
How Did
Schrödinger
Get His Equation?
1
2
Heisenberg s Matrix Mechanics and Dirac s Re-creation of it
11
3
Dirac s Derivation of the Quantum Conditions
17
4
The Equivalence between Matrix Mechanics
and Wave Mechanics
21
5
The Dirac Delta Function
27
6
Why Do We Need Hubert Space?
33
7
The Dirac Bra
Ket
Notation and the Riesz Theorem
37
8
Self-Adjoint Operators in Hubert Space
45
9
The Spectral Theorem, Discrete and Continuous Spectra
53
10
Coordinate and Momentum Representations of Quantum
States, Fourier Transforms
59
11
The Uncertainty Principle
63
12
Commutator Algebra
73
13
Ehrenfest s Theorem
77
14
The Simple Harmonic Oscillator
81
15
Complete Set of Commuting
Observables
95
16
Solving
Schrödinger s
Equation
99
xiii
xiv Non-Relativistic Quantum
Theory
17
Symmetry,
Invariance, and Conservation
in Quantum
Mechanics
113
18
Why is Group Theory Useful in Quantum Mechanics?
125
19
SO(3) and SU(2)
131
20
The Spectrum of the Angular Momentum Operators
145
21
Whence the Spherical Harmonics?
151
22
Irreducible Representations of
SU
{2)
and
50(3),
Rotation Matrices
159
23
Direct Product Representations,
Clebsch-Gordon Coefficients
169
24
Transformations of Wave Functions and
Vector Operators under
50(3) 173
25
Irreducible Tensor Operators and
the Wigner-Eckart Theorem
179
26
Reduction of Direct Product Representations of ¿>O(3):
The Addition of Angular Momenta
183
27
The Calculation of Clebsch-Gordon Coefficients:
The 3-j Symbols
189
28
Applications of the Wigner-Eckart Theorem
199
29
The Symmetric Groups
209
30
The Lie Algebra of S0(4) and the Hydrogen Atom
233
31
Stationary Perturbations
243
32
The Fine Structure of Hydrogen:
Application of Degenerate Perturbation Theory
255
33
Time-Dependent Perturbation Theory
263
34
Interaction of Matter with the Classical Radiation Field:
Application of Time-Dependent Perturbation Theory
275
35
Potential Scattering Theory
285
36
Analytic Properties of the 5-Matrix:
Bound States and Resonances
307
Contents xv
37 Non-Perturbative
Bound-State and
Scattering-State
Solutions:
Radiation-Induced Bound-Continuum
Interactions
317
38
Geometric Phases: The Aharonov-Bohm Effect
and the Magnetic
Monopole 333
39
The Berry Phase in Molecular Dynamics
339
40
The Dynamic Phase: Riemann Surfaces in the
Semiclassical Theory of Non-Adiabatic Collisions;
Homotopy and Homology
349
41
The Connection is the Gauge Field and the
Curvature is the Force : Some Differential Geometry
367
42
Topological Quantum (Chern) Numbers:
The Integer Quantum Hall Effect
385
43 de Rham
Cohomology and Chern Classes:
Some More Differential Geometry
405
44
Chern-Simons Forms: The Fractional Quantum Hall
Effect, Anyons and Knots
413
References
429
Index
433
|
| any_adam_object | 1 |
| author | Lam, Kai S. 1949- |
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| classification_rvk | UK 1000 UM 1000 |
| ctrlnum | (OCoLC)298782405 (DE-599)BVBBV035765109 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV035765109 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:04:00Z |
| institution | BVB |
| isbn | 9789814271790 9814271799 |
| language | English |
| lccn | 2009016162 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018624912 |
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| physical | XV, 441 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
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| publisher | World Scientific |
| record_format | marc |
| spelling | Lam, Kai S. 1949- Verfasser (DE-588)139867686 aut Non-relativistic quantum theory dynamics, symmetry, and geometry Kai S Lam Hackensack, N.J. World Scientific 2009 XV, 441 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematik Quantentheorie Nonrelativistic quantum mechanics Quantum theory Mathematics Quantentheorie (DE-588)4047992-4 gnd rswk-swf Nichtrelativistische Näherung (DE-588)4401061-8 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Quantenphysik (DE-588)4266670-3 s Nichtrelativistische Näherung (DE-588)4401061-8 s DE-604 Quantentheorie (DE-588)4047992-4 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018624912&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lam, Kai S. 1949- Non-relativistic quantum theory dynamics, symmetry, and geometry Mathematik Quantentheorie Nonrelativistic quantum mechanics Quantum theory Mathematics Quantentheorie (DE-588)4047992-4 gnd Nichtrelativistische Näherung (DE-588)4401061-8 gnd Quantenphysik (DE-588)4266670-3 gnd |
| subject_GND | (DE-588)4047992-4 (DE-588)4401061-8 (DE-588)4266670-3 (DE-588)4123623-3 |
| title | Non-relativistic quantum theory dynamics, symmetry, and geometry |
| title_auth | Non-relativistic quantum theory dynamics, symmetry, and geometry |
| title_exact_search | Non-relativistic quantum theory dynamics, symmetry, and geometry |
| title_full | Non-relativistic quantum theory dynamics, symmetry, and geometry Kai S Lam |
| title_fullStr | Non-relativistic quantum theory dynamics, symmetry, and geometry Kai S Lam |
| title_full_unstemmed | Non-relativistic quantum theory dynamics, symmetry, and geometry Kai S Lam |
| title_short | Non-relativistic quantum theory |
| title_sort | non relativistic quantum theory dynamics symmetry and geometry |
| title_sub | dynamics, symmetry, and geometry |
| topic | Mathematik Quantentheorie Nonrelativistic quantum mechanics Quantum theory Mathematics Quantentheorie (DE-588)4047992-4 gnd Nichtrelativistische Näherung (DE-588)4401061-8 gnd Quantenphysik (DE-588)4266670-3 gnd |
| topic_facet | Mathematik Quantentheorie Nonrelativistic quantum mechanics Quantum theory Mathematics Nichtrelativistische Näherung Quantenphysik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018624912&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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