# Quantum Mechanics. Concepts and Applications. 2nd Edition

- ID: 2325253
- January 2009
- 688 Pages
- John Wiley and Sons Ltd

Quantum mechanics was developed in the first part of the twentieth century to help explain the behavior of matter at the microscopic level, ranging from molecular to subnuclear levels. It is the bedrock upon which modern physics rests; additionally, it provides a mathematical framework for many of the physical science fields and forms the basis of contemporary theories on matter and energy at the atomic and subatomic levels. This book provides a clear, balanced and modern treatment of the field and is aimed at undergraduate and first–year graduate students.

Quantum Mechanics: Concepts and Applications Second Edition takes an innovative approach to quantum mechanics by seamlessly combining the ingredients of both the textbook and a problem–solving book.

The textbook begins with the origins of quantum physics and then continues with the mathematical tools of quantum mechanics and the postulates of quantum mechanics. The next chapters cover one–dimensional problems, angular momentum, and three–dimensional problems. Subsequent chapters deals with rotations and addition of angular momenta, identical particles, approximation methods for stationary states,
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Preface to the Second Edition.

Preface to the First Edition.

Note to the Student.

1. Origins of Quantum Physics.

1.1 Historical Note.

1.2 Particle Aspect of Radiation.

1.3 Wave Aspect of Particles.

1.4 Particles versus Waves.

1.5 Indeterministic Nature of the Microphysical World.

1.6 Atomic Transitions and Spectroscopy.

1.7 Quantization Rules.

1.8 Wave Packets.

1.9 Concluding Remarks.

1.10 Solved Problems.

1.11 Exercises.

2. Mathematical Tools of Quantum Mechanics.

2.1 Introduction.

2.2 The Hilbert Space and Wave Functions.

2.3 Dirac Notation.

2.4 Operators.

2.5 Representation in Discrete Bases.

2.6 Representation in Continuous Bases.

2.7 Matrix and Wave Mechanics.

2.8 Concluding Remarks.

2.9 Solved Problems.

2.10 Exercises.

3. Postulates of Quantum Mechanics.

3.1 Introduction.

3.2 The Basic Postulates of Quantum Mechanics.

3.3 The State of a System.

3.4 Observables and Operators.

3.5 Measurement in Quantum Mechanics.

3.6 Time Evolution of the System s State.

3.7 Symmetries and Conservation Laws.

3.8 Connecting Quantum to Classical Mechanics.

3.9 Solved Problems.

3.10 Exercises.

4. One–Dimensional Problems.

4.1 Introduction.

4.2 Properties of One–Dimensional Motion.

4.3 The Free Particle: Continuous States.

4.4 The Potential Step.

4.5 The Potential Barrier and Well.

4.6 The Infinite Square Well Potential.

4.7 The Finite Square Well Potential.

4.8 The Harmonic Oscillator.

4.9 Numerical Solution of the Schrödinger Equation.

4.10 Solved Problems.

4.11 Exercises.

5. Angular Momentum.

5.1 Introduction.

5.2 Orbital Angular Momentum.

5.3 General Formalism of Angular Momentum.

5.4 Matrix Representation of Angular Momentum.

5.5 Geometrical Representation of Angular Momentum.

5.6 Spin Angular Momentum.

5.7 Eigen functions of Orbital Angular Momentum.

5.8 Solved Problems.

5.9 Exercises.

6. Three–Dimensional Problems.

6.1 Introduction.

6.2 3D Problems in Cartesian Coordinates.

6.3 3D Problems in Spherical Coordinates.

6.4 Concluding Remarks.

6.5 Solved Problems.

6.6 Exercises.

7. Rotations and Addition of Angular Momenta.

7.1 Rotations in Classical Physics.

7.2 Rotations in Quantum Mechanics.

7.3 Addition of Angular Momenta.

7.4 Scalar, Vector and Tensor Operators.

7.5 Solved Problems.

7.6 Exercises.

8. Identical Particles.

8.1 Many–Particle Systems.

8.2 Systems of Identical Particles.

8.3 The Pauli Exclusion Principle.

8.4 The Exclusion Principle and the Periodic Table.

8.5 Solved Problems.

8.6 Exercises.

9. Approximation Methods for Stationary States.

9.1 Introduction.

9.2 Time–Independent Perturbation Theory.

9.3 The Variational Method.

9.4 The Wentzel–Kramers–Brillou in Method.

9.5 Concluding Remarks.

9.6 Solved Problems.

9.7 Exercises.

10. Time–Dependent Perturbation Theory.

10.1 Introduction.

10.2 The Pictures of Quantum Mechanics.

10.3 Time–Dependent Perturbation Theory.

10.4 Adiabatic and Sudden Approximations.

10.5 Interaction of Atoms with Radiation.

10.6 Solved Problems.

10.7 Exercises.

11. Scattering Theory.

11.1 Scattering and Cross Section.

11.2 Scattering Amplitude of Spinless Particles.

11.3 The Born Approximation.

11.4 Partial Wave Analysis.

11.5 Scattering of Identical Particles.

11.6 Solved Problems.

11.7 Exercises.

A. The Delta Function.

A.1 One–Dimensional Delta Function.

A.2 Three–Dimensional Delta Function.

B. Angular Momentum in Spherical Coordinates.

B.1 Derivation of Some General Relations.

B.2 Gradient and Laplacianin Spherical Coordinates.

B.3 Angular Momentum in Spherical Coordinates.

C. C++ Code for Solving the Schrödinger Equation.

Index.

"The book contains almost six hundred examples, problems and exercises, some of them fully solved. They are intended to empower students to become independent learners and adept practitioners of quantummechanics." (

Mathematical Reviews, July 2010)

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. Zettili provides a second edition of this textbook on quantum mechanics. The material is suitable for two undergraduate semesters and one graduate level semester. (

Book News, September 2009)