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This Schaum's Outline gives you
Hundreds of examples with explanations of quantum mechanics concepts
Exercises to help you test your mastery of quantum mechanics
Complete review of all course fundamentals
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!
Topics include: Mathematical Background; Schrodinger Equation and Applications; Foundations of Quantum Mechanics; Harmonic Oscillator; Angular Momentum; Spin; Hydrogen-Like Atoms; Particle Motion in an Electromagnetic Field; Solution Methods in Quantum Mechanics; Solutions Methods in Quantum Mechanics; Numerical Methods in Quantum Mechanics; Identical Particles; Addition of Angular Momenta; Scattering Theory; and Semiclassical Treatment of Radiation
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Schaum's Outline of Quantum Mechanics (Schaum's Outline Series)

Schaum's Outline of Quantum Mechanics 978-0-07-162358-2

Peleg, Yoav, Pnini, Reuven, Zaarur, Elyahu, Hecht, Eugene

Yoav Peleg; Reuven Pnini; Elyahu Zaarur; Eugene Hecht

Eugene Hecht; Elyahu Zaarur; Reuven Pnini; Yoav Peleg

Yoav Peleg ... [et al.]

Yoav Peleg, Ph.D.

McGraw-Hill School Education Group

Irwin Professional Publishing

McGraw-Hill Companies

Oracle Press

Schaum's outlines, Schaum's outline series, 2nd ed., New York, New York State, 2010

Schaum's outline series, 2nd ed, New York, London, ©2010

McGraw Hill LLC Professional Division, [N.p.], 2009

United States, United States of America

Second Edition, US, 2010

2, 2010-05-25

0

lg2242925

producers:
Acrobat Distiller 8.0.0 (Windows); modified using iText 4.2.0 by 1T3XT

{"edition":"2","isbns":["0071623582","9780071623582"],"last_page":361,"publisher":"McGraw-Hill","series":"Schaum’s outline series"}

Includes index.
Previous ed.: 1998.

Contents 8
Chapter 1 Introduction 14
1.1 The Particle Nature of Electromagnetic Radiation 14
1.2 Quantum Particles 16
1.3 Wave Packets and the Uncertainty Relation 17
Chapter 2 Mathematical Background 26
2.1 The Complex Field C 26
2.2 Vector Spaces over C 27
2.3 Linear Operators and Matrices 27
2.4 Eigenvectors and Eigenvalues 29
2.5 Fourier Series and the Fourier Transform 29
2.6 The Dirac Delta Function 30
Chapter 3 The Schrödinger Equation and Its Applications 38
3.1 Wavefunctions of a Single Particle 38
3.2 The Schrödinger Equation 38
3.3 Particle in a Time-Independent Potential 39
3.4 Scalar Product of Wavefunctions: Operators 40
3.5 Probability Density and Probability Current 41
Chapter 4 The Foundations of Quantum Mechanics 74
4.1 Introduction 74
4.2 Postulates in Quantum Mechanics 75
4.3 Mean Value and Root-Mean-Square Deviation 76
4.4 Commuting Observables 76
4.5 Function of an Operator 77
4.6 Hermitian Conjugation 77
4.7 Discrete and Continuous State Spaces 77
4.8 Representations 78
4.9 The Time Evolution 81
4.10 Uncertainty Relations 83
4.11 The Schrödinger and Heisenberg Pictures 83
Chapter 5 Harmonic Oscillator 111
5.1 Introduction 111
5.2 The Hermite Polynomials 112
5.3 Two- and Three-Dimensional Harmonic Oscillators 112
5.4 Operator Methods for a Harmonic Oscillator 112
Chapter 6 Angular Momentum 130
6.1 Introduction 130
6.2 Commutation Relations 131
6.3 Lowering and Raising Operators 131
6.4 Algebra of Angular Momentum 132
6.5 Differential Representations 132
6.6 Matrix Representation of an Angular Momentum 134
6.7 Spherical Symmetry Potentials 134
6.8 Angular Momentum and Rotations 135
Chapter 7 Spin 158
7.1 Definitions 158
7.2 Spin 1/2 158
7.3 Pauli Matrices 158
7.4 Lowering and Raising Operators 159
7.5 Rotations in the Spin Space 159
7.6 Interaction with a Magnetic Field 160
Chapter 8 Hydrogen-like Atoms 177
8.1 A Particle in a Central Potential 177
8.2 Two Interacting Particles 178
8.3 The Hydrogen Atom 179
8.4 Energy Levels of the Hydrogen Atom 180
8.5 Mean Value Expressions 181
8.6 Hydrogen-like Atoms 181
Chapter 9 Particle Motion in an Electromagnetic Field 192
9.1 The Electromagnetic Field and Its Associated Potentials 192
9.2 The Hamiltonian of a Particle in the Electromagnetic Field 193
9.3 Probability Density and Probability Current 193
9.4 The Magnetic Moment 194
9.5 Units 194
Chapter 10 Solution Methods in Quantum Mechanics—Part A 217
10.1 Time-Independent Perturbation Theory 217
10.2 Perturbation of a Nondegenerate Level 218
10.3 Perturbation of a Degenerate State 219
10.4 Time-Dependent Perturbation Theory 219
Chapter 11 Solution Methods in Quantum Mechanics—Part B 245
11.1 The Variational Method 245
11.2 Semiclassical Approximation (The WKB Approximation) 246
Chapter 12 Numerical Methods in Quantum Mechanics 262
12.1 Numerical Quadrature 262
12.2 Roots 263
12.3 Integration of Ordinary Differential Equations 264
Chapter 13 Identical Particles 277
13.1 Introduction 277
13.2 Permutations and Symmetries of Wavefunctions 277
13.3 Bosons and Fermions 278
Chapter 14 Addition of Angular Momenta 286
14.1 Introduction 286
14.2 {Ĵ[sup(2)][sub(1)], Ĵ[sup(2)][sub(2)], Ĵ[sup(1)][sub(2)]Ĵ[sub(Z)]} Basis 286
14.3 Clebsch–Gordan Coefficients 287
Chapter 15 Scattering Theory 309
15.1 Cross Section 309
15.2 Stationary Scattering States 310
15.3 Born Approximation 311
15.4 Partial Wave Expansions 312
15.5 Scattering of Identical Particles 313
Chapter 16 Semiclassical Treatment of Radiation 343
16.1 The Interaction of Radiation with Atomic Systems 343
16.2 Time-Dependent Perturbation Theory 343
16.3 Transition Rate 344
16.4 Multipole Transitions 345
16.5 Spontaneous Emission 345
Appendix: Mathematical Appendix 360
A.1 Fourier Series and Fourier Transform 360
A.2 The Dirac d-Function 361
A.3 Hermite Polynomials 362
A.4 Legendre Polynomials 363
A.5 Associated Legendre Functions 363
A.6 Spherical Harmonics 364
A.7 Associated Laguerre Polynomials 365
A.8 Spherical Bessel Functions 365
Index 368
A 370
B 370
C 370
D 370
E 370
F 371
G 371
H 371
I 371
K 371
L 371
M 371
N 371
O 372
P 372
Q 372
R 373
S 373
T 374
U 374
V 374
W 374
Y 374
Z 374

"Study faster, learn better, and get top grades. Schaum's Outline of Quantum Mechanics provides a systematic review of quantum mechanics with clear and concise explanations, accompanied by numerous exercises that will allow you to work on your own, for both initial learning and review. The revised edition will include comprehensive review of mathematical foundations, the Schrodinger Equation, angular momentum, spin, the Harmonic Oscillator, numerical methods, and scattering theory."

Offers a review of quantum mechanics with explanations, accompanied by many exercises that allow you to work on your own, for both initial learning and review. This title includes comprehensive review of mathematical foundations, the Schrodinger Equation, angular momentum, spin, the Harmonic Oscillator, numerical methods, and scattering theory

"More than 200 fully solved problems; concise explanations of all course concepts; information on the Schrödinger equation, angular momentum, spin, the harmonic oscillator, numerical methods, and scattering theory."--Cover

2018-07-23