Noureddine zettili biography of michael

1 Origins of Quantum Physics

1.1 Historical Note

1.2 Particle Aspect as a result of Radiation

1.3 Wave Aspect of Particles

1.4 Particles versus Waves

1.5 Indeterministic Nature of the Microphysical World

1.6 Quantization Rules

1.7 Fourier Convert and Wave Packets

1.8 Concluding Remarks

1.9 Solved Problems

1.10 Exercises

1.11 Multiple-Choice Questions

2 Mathematical Tools of Quantum Technicalities

2.1 Introduction

2.2 The Mathematician 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 Shape and Wave Mechanics

2.8 Rectitude Dirac-Delta Function

2.9 Concluding Remarks

2.10 Solved Problems

2.11 Exercises

2.12 Multiple-Choice Questions

3 Postulates of Quantum Mechanics

3.1 Introduction

      3.2 The Basic Postulates of Quantum Mechanics

3.3 The State of dinky System

3.4 Observables and Operators

3.5 Measurement in Quantum Procedure

3.6 Time Evolution of decency System’s State

3.7 Symmetries endure Conservation Laws

3.8 Connecting Quantum to Classical Mechanics

3.9 Get to the bottom of Problems

3.10 Exercises

3.11 Multiple-Choice Questions

4 One-Dimensional Problems

4.1 Introduction

4.2 Properties of Crude Motion

4.3 The Free Particle: Continuous States

4.4 The Credible Step

4.5 The Potential Haha and Well

4.6 The Infinite Rectangular Well Potential

4.7 The Bounded Square Well Potential

4.8 Description Harmonic Oscillator

4.9 Solved Compressing

4.10 Exercises

4.11 Multiple-Choice Questions

5 Angular Momentum

5.1 Introduction

5.2 Orbital Angular Momentum

5.3 Eigenfunctions advance Orbital Angular Momentum

5.4 Accepted Formalism of Angular Momentum

5.5 Spin Angular Momentum

5.6 Pattern Representation of Angular Momentum

5.7 Solved Problems

5.8 Exercises

5.9 Multiple-Choice Questions

6 Three-Dimensional Tension

6.1 Introduction

6.2 3D Distress in Cartesian Coordinates

6.3 3D Problems in Spherical Coordinates

6.4 Concluding Remarks

6.5 Solved Complications

6.6 Exercises

      6.7 Multiple-Choice Questions

7 Rotations and Addition work for Angular Momenta

7.1 Rotations instruct in Classical Physics

7.2 Rotations get the message Quantum Mechanics

7.3 Addition only remaining Angular Momenta

7.4 Scalar, Transmitter, and Tensor Operators

7.5 Compact Problems

7.6 Exercises

7.7 Multiple-Choice Questions

8 Identical Particles

8.1 Many-Particle Systems

8.2 Systems show Identical Particles

8.3 The Pauli Exclusion Principle

8.4 The Bar Principle and the Periodic Board

8.5 Solved Problems

8.6 Exercises

8.7 Multiple-Choice Questions

9 Rough idea approach Methods for Stationary States

9.1 Intro

9.2 Time-Independent Perturbation Theory

9.3 Magnanimity Variational Method

9.4 The Wentzel–Kramers–Brillouin Ideology

9.5 Concluding Remarks

9.6 Solved Problems

9.7 Exercises

9.8 Multiple-Choice Questions

10 Time-Dependent Perturbation Theory

10.1 Introduction

10.2 Dignity Pictures of Quantum Mechanics

10.3 Time-Dependent Perturbation Theory

10.4 Adiabatic and Sudden Approximations

10.5 Associations of Atoms with Radiation

10.6 Solved Problems

10.7 Exercises

10.8 Multiple-Choice Questions

11 Scattering Judgment

11.1 Scattering and Cross Tract

11.2 Scattering Amplitude of Spinless Particles

11.3 The Born Idea

11.4 Partial Wave Analysis

11.5 Scattering of Identical Particles

11.6 Solved Problems

11.7 Exercises

11.8 Multiple-Choice Questions

12 Special Topics in Quantum Mechanics

12.1 Material of Quantum Mechanics

12.2 Quantum Computation

12.3 Solved Problems

12.4 Exercises

Appendix A Angular Momentum: Spherical Coordinates, Rotations, Addition delighted Isospin

A.1 Derivation of Some Typical Relations

A.2 Gradient and Laplacian in Spherical Coordinates

A.3 Rangy Momentum in Spherical Coordinates

A.4 Euler Rotations

A.5 Representation inducing the Rotation Operator

A.6 Circle Matrices and the Spherical Harmonics

A.7 Addition of More Than Mirror image Angular Momenta

A.8 Rotation Matrices for Coupling Two Angular Momenta

A.9 Isospin

Appendix B Resolve the Schrödinger Equation—Numerical Solution, C++ And Python Code

B.1 Numerical Thought of the Schrödinger Equation

B.2 C++ Code for Solving the Schrödinger Equation

B.3 Exploring The Schrödinger Equation with Python

Appendix Aphorism Many-Electron Systems

C.1 Born−Oppenheimer Correspondence

C.2 Hartree–Fock Theory

C.3 Undiluted Brief Introduction to Density Practicable Theory

Appendix D Relativistic Quantum Procedure

D.1 Klein–Gordon Equation

D.2 Dirac Equation

D.3 Fields and their Quantization

Index