Quantum Mechanics and Path Integrals Emended Edition Dover Books on Physics 1st Edition by Richard P. Feynman, Albert R. Hibbs, Daniel F. St – Ebook PDF Instant Download/Delivery: 978-0486477220, 0486477220
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Product details:
ISBN 10: 0486477220
ISBN 13: 978-0486477220
Author: Richard P. Feynman, Albert R. Hibbs, Daniel F. St
From astrophysics to condensed matter theory, nearly all of modern physics employs the path integral technique. In this presentation, the developer of path integrals and one of the best-known scientists of all time, Nobel Prize–winning physicist Richard P. Feynman, presents unique insights into this method and its applications. Avoiding dense, complicated descriptions, Feynman articulates his celebrated theory in a clear, concise manner, maintaining a perfect balance between mathematics and physics.
This emended edition of the original 1965 publication corrects hundreds of typographical errors and recasts many equations for clearer comprehension. It retains the original’s verve and spirit, and it is approved and endorsed by the Feynman family. The opening chapters explore the fundamental concepts of quantum mechanics and introduce path integrals. Subsequent chapters cover more advanced topics, including the perturbation method, quantum electrodynamics, and the relation of path integrals to statistical mechanics. In addition to its merit as a text for graduate courses in physics, this volume serves as an excellent resource for professionals.
Table of contents:
1 Probability in quantum mechanics
2 The uncertainty principle
3 Interfering alternatives
4 Summary of probability concepts
5 Some remaining thoughts
6 The purpose of this book
7 The classical action
8 The quantum-mechanical amplitude
9 The classical limit
10 The sum over paths
11 Events occurring in succession
12 Some remarks
13 The free particle
14 Diffraction through a slit
15 Results for a sharp-edged slit
16 The wave function
17 Gaussian integrals
18 Motion in a potential field
19 Systems with many variables
20 Separable systems
21 The path integral as a functional
22 Interaction of a particle and a harmonic oscillator
23 Evaluation of path integrals by Fourier series
24 The Schrödinger equation
25 The time-independent hamiltonian
26 Normalizing the free-particle wave functions
27 The momentum representation
28 Measurement of quantum-mechanical variables
29 Operators
30 The perturbation expansion
31 An integral equation for Kv
32 An expansion for the wave function
33 The scattering of an electron by an atom
34 Time-dependent perturbations and transition amplitudes
35 Definition of the transition element
36 Functional derivatives
37 Transition elements of some special functionals
38 General results for quadratic actions
39 Transition elements and the operator notation
40 The perturbation series for a vector potential
41 The hamiltonian
42 The simple harmonic oscillator
43 The polyatomic molecule
44 Normal coordinates
45 The one-dimensional crystal
46 The approximation of continuity
47 Quantum mechanics of a line of atoms
48 The three-dimensional crystal
49 Quantum field theory
50 The forced harmonic oscillator
51 Classical electrodynamics
52 The quantum mechanics of the radiation field
53 The ground state
54 Interaction of field and matter
55 A single electron in a radiative field
56 The Lamb shift
57 The emission of light
58 Summary
59 The partition function
60 The path integral evaluation
61 Quantum-mechanical effects
62 Systems of several variables
63 Remarks on methods of derivation
64 A minimum principle
65 An application of the variational method
66 The standard variational principle
67 Slow electrons in a polar crystal
68 Random pulses
69 Characteristic functions
70 Noise
71 Gaussian noise
72 Noise spectrum
73 Brownian motion
74 Quantum mechanics
75 Influence functionals
76 Influence functional from a harmonic oscillator
77 Conclusions
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Tags: Richard Feynman, Albert Hibbs, Daniel St, Quantum Mechanics, Path Integrals


