دانلود کتاب Quantum Mechanics and Path Integrals (Emended Edition)

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Cover
Title Page
Copyright
Preface
Preface to Emended Edition
Contents
1. The Fundamental Concepts of Quantum Mechanics
1.1 Probability in quantum mechanics
1.2 The uncertainty principle
1.3 Interfering alternatives
1.4 Summary of probability concepts
1.5 Some remaining thoughts
1.6 The purpose of this book
2. The Quantum-Mechanical Law of Motion
2.1 The classical action
2.2 The quantum-mechanical amplitude
2.3 The classical limit
2.4 The sum over paths
2.5 Events occurring in succession
2.6 Some remarks
3. Developing the Concepts with Special Examples
3.1 The free particle
3.2 Diffraction through a slit
3.3 Results for a sharp-edged slit
3.4 The wave function
3.5 Gaussian integrals
3.6 Motion in a potential field
3.7 Systems with many variables
3.8 Separable systems
3.9 The path integral as a functional
3.10 Interaction of a particle and a harmonic oscillator
3.11 Evaluation of path integrals by Fourier series
4. The Schrödinger Description of Quantum Mechanics
4.1 The Schrödinger equation
4.2 The time-independent hamiltonian
4.3 Normalizing the free-particle wave functions
5. Measurements and Operators
5.1 The momentum representation
5.2 Measurement of quantum-mechanical variables
5.3 Operators
6. The Perturbation Method in Quantum Mechanics
6.1 The perturbation expansion
6.2 An integral equation for Kv
6.3 An expansion for the wave function
6.4 The scattering of an electron by an atom
6.5 Time-dependent perturbations and transition amplitudes
7. Transition Elements
7.1 Definition of the transition element
7.2 Functional derivatives
7.3 Transition elements of some special functionals
7.4 General results for quadratic actions
7.5 Transition elements and the operator notation
7.6 The perturbation series for a vector potential
7.7 The hamiltonian
8. Harmonic Oscillators
8.1 The simple harmonic oscillator
8.2 The polyatomic molecule
8.3 Normal coordinates
8.4 The one-dimensional crystal
8.5 The approximation of continuity
8.6 Quantum mechanics of a line of atoms
8.7 The three-dimensional crystal
8.8 Quantum field theory
8.9 The forced harmonic oscillator
9. Quantum Electrodynamics
9.1 Classical electrodynamics
9.2 The quantum mechanics of the radiation field
9.3 The ground state
9.4 Interaction of field and matter
9.5 A single electron in a radiative field
9.6 The Lamb shift
9.7 The emission of light
9.8 Summary
10. Statistical Mechanics
10.1 The partition function
10.2 The path integral evaluation
10.3 Quantum-mechanical effects
10.4 Systems of several variables
10.5 Remarks on methods of derivation
11. The Variational Method
11.1 A minimum principle
11.2 An application of the variational method
11.3 The standard variational principle
11.4 Slow electrons in a polar crystal
12. Other Problems in Probability
12.1 Random pulses
12.2 Characteristic functions
12.3 Noise
12.4 Gaussian noise
12.5 Noise spectrum
12.6 Brownian motion
12.7 Quantum mechanics
12.8 Influence functionals
12.9 Influence functional from a harmonic oscillator
12.10 Conclusions
Appendix: Some Useful Definite Integrals
Appendix: Notes
Index