Quantum mechanics demystified:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
McGraw-Hill
2013
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Demystified series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 506 S. Ill., graph. Darst. |
| ISBN: | 9780071765633 9780071455466 0071455469 |
Internformat
MARC
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| 245 | 1 | 0 | |a Quantum mechanics demystified |c David McMahon |
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| 264 | 1 | |a New York [u.a.] |b McGraw-Hill |c 2013 | |
| 300 | |a XIV, 506 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Demystified series | |
| 650 | 4 | |a Mécanique ondulatoire | |
| 650 | 4 | |a Théorie quantique non relativiste | |
| 650 | 4 | |a Théorie quantique non relativiste - Problèmes et exercices | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Quantum theory | |
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Datensatz im Suchindex
| _version_ | 1804150452583923712 |
|---|---|
| adam_text | Titel: Quantum mechanics demystified
Autor: McMahon, David
Jahr: 2013
Contents
Introduction xiii
CHAPTER1 Historical Review 1
Blackbody Radiation and Planck s Formula 2
The Photoelectric Effect 6
The Bohr Theory of the Atom 8
de Broglie s Hypothesis 10
Summary 11
Quiz 12
CHAPTER 2 Basic Developments 13
The Schrödinger Equation 14
Solving the Schrödinger Equation 18
The Probability Interpretation and Normalization 24
Expansion of the Wavefunction and Finding Coefficients 37
The Phase of a Wavefunction 46
Operators in Quantum Mechanics 47
Momentum and the Uncertainty Principle 56
The Conservation of Probability 62
Summary 65
Quiz 66
CHAPTER 3 The Time-Independent Schrödinger Equation 69
The Free Particle 71
Bound States and 1 -D Scattering 79
Parity 93
Ehrenfest Theorem 101
Summary 101
Quiz 102
Vii
Viii QUANTUM MECHANICS DeMYSTiFieD
CHAPTER 4 An Introduction to Hubert Space 105
Basic Definitions 106
Hilbert Space Definitions 107
Summary 118
Quiz 119
CHAPTER 5 The Mathematical Structure of Quantum
Mechanicsl 121
Linear VectorSpaces 122
Basis Vectors 135
Expanding a Vector in Terms of a Basis 138
Orthonormal Sets and the Gram-Schmidt Procedure 138
Dirac Algebra with Bras and Kets 139
Finding the Expansion Coefficients in the
Representation of Bras and Kets 142
Quiz 145
CHAPTER 6 The Mathematical Structure of Quantum
Mechanicsll 147
Linear Operators 148
The Representation of an Operator 149
Eigenvalues and Eigenvectors 158
The Hermitian Conjugate of an Operator 169
The Commutator 186
Quiz 192
CHAPTER 7 The Mathematical Structure of Quantum
Mechanics III 193
Change of Basis and Unitary Transformations 194
Similarity Transformations 196
Finding a Similarity Transformation for a Matrix C 196
The Generalized Uncertainty Relation 205
Projection Operators 208
Functions of Operators 214
Generalization to Continuous Spaces 214
Summary 223
Quiz 224
CHAPTER 8 The Foundations of Quantum Mechanics 227
The Postulates of Quantum Mechanics 228
Spectral Decomposition 232
Projective Measurements 233
Contents
The Completeness Relation 234
Completely Specifying a State with a CSCO 243
The Heisenberg versus Schrödinger Pictures 244
Describing Composite Systems in Quantum Mechanics 245
The Matrix Representation of a Tensor Product 246
The Tensor Product of State Vectors 247
The Density Operator 250
The Density Operator for a Completely Mixed State 252
A Brief Introduction to the Bloch Vector 261
Summary 263
Quiz 264
CHAPTER 9 The Harmonie Oscillator 267
The Solution of the Harmonie Oscillator in the
Position Representation 268
The Operator Method for the Harmonie Oscillator 277
Number States of the Harmonie Oscillator 280
More on the Action of the Raising and Lowering
Operators 284
Summary 285
Quiz 286
CHAPTER 10 Angular Momentum 287
The Commutation Relations of Angular Momentum 288
The Uncertainty Relations for Angular Momentum 290
Generalized Angular Momentum and the Ladder
Operators 290
Matrix Representations of Angular Momentum 300
Coordinate Representation of Orbital Angular
Momentum and the Spherical Harmonics 313
Summary 323
Quiz 324
CHAPTER 11 Spin-1/2 Systems 325
The Stern-Gerlach Experiment 327
The Basis States for Spin-1/2 Systems 328
Using the Ladder Operators to Construct Sx, Sy 330
Unitary Transformations for Spin-1/2 Systems 339
The Outer Product Representation of the Spin
Operators 342
The Pauli Matrices 344
The Time Evolution of Spin-1/2 States 350
QUANTUM MECHANICS DeMYSTiFieD
The Density Operator for Spin-1/2 Systems 362
Summary 364
Quiz 365
CHAPTER 12 Quantum Mechanics in Three Dimensions 367
The 2-D Square Well 369
An Overview of a Particle in a Central Potential 377
An Overview of the Hydrogen Atom 379
Summary 391
Quiz 392
CHAPTER 13 Identical Particles 393
Basic Principles of Systems of Identical Particles 394
Fermions and Bosons 395
The Pauli Exclusion Principle 401
The Periodic Table 405
More General Cases 408
Summary 409
Quiz 410
CHAPTER 14 Time-Independent Perturbation Theory 411
When Is Perturbation Theory Needed? 412
The Stark Effect 420
Summary 422
Quiz 423
CHAPTER 15 Applications of Perturbation Theory to the
Hydrogen Atom 427
The Fine Structure of Hydrogen 428
The Zeeman Effect 433
Hyperfine Splitting 435
Summary 436
Quiz 437
CHAPTER 16 Time-Dependent Perturbation Theory 439
Pictures in Quantum Theory 446
Two-Level Systems 448
Fermi s Golden Rule 452
The Emission and Absorption of Radiation 452
Summary 453
Quiz 454
Contents
CHAPTER 17 Scattering 455
Introduction 456
Scattering Amplitudes 456
The Born Approximation 458
Summary 460
Quiz 461
Final Exam 463
Answers to Quiz and Exam Questions 471
Index 495
|
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| 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 |
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| discipline | Physik Informatik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV041081179 |
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| indexdate | 2024-07-10T00:39:09Z |
| institution | BVB |
| isbn | 9780071765633 9780071455466 0071455469 |
| language | English |
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| physical | XIV, 506 S. Ill., graph. Darst. |
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| series2 | Demystified series |
| spelling | McMahon, David 1964- Verfasser (DE-588)130818879 aut Quantum mechanics demystified David McMahon 2. ed. New York [u.a.] McGraw-Hill 2013 XIV, 506 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Demystified series Mécanique ondulatoire Théorie quantique non relativiste Théorie quantique non relativiste - Problèmes et exercices Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Quantenmechanik (DE-588)4047989-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026057964&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | McMahon, David 1964- Quantum mechanics demystified Mécanique ondulatoire Théorie quantique non relativiste Théorie quantique non relativiste - Problèmes et exercices Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4151278-9 |
| title | Quantum mechanics demystified |
| title_auth | Quantum mechanics demystified |
| title_exact_search | Quantum mechanics demystified |
| title_full | Quantum mechanics demystified David McMahon |
| title_fullStr | Quantum mechanics demystified David McMahon |
| title_full_unstemmed | Quantum mechanics demystified David McMahon |
| title_short | Quantum mechanics demystified |
| title_sort | quantum mechanics demystified |
| topic | Mécanique ondulatoire Théorie quantique non relativiste Théorie quantique non relativiste - Problèmes et exercices Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Mécanique ondulatoire Théorie quantique non relativiste Théorie quantique non relativiste - Problèmes et exercices Quantentheorie Quantum theory Quantenmechanik Einführung |
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