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Introduction to Quantum Mechanics Schrodinger Equation and Path Integral~tqw~ darksiderg

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Introduction to Quantum Mechanics: Schrodinger Equation and Path Integral
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Type.................: Ebook
Part Size............: 30,175,282 bytes

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Posted by............: ~tqw~

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Release Notes
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With the discovery of quantization by Planck in 1900, quantum mechanics is
now more than a hundred years old. However, a proper understanding of the
phenomenon was gained only later in 1925 with the fundamental Heisenberg
commutation relation or phase space algebra and the associated uncertainty
principle. The resulting Schrodinger equation has ever since been the
theoretical basis of atomic physics. The alternative formulation by Feynman
in terms of path integrals appeared two to three decades later. Although
the two approaches are basically equivalent, the Schrodinger equation has
found much wider usefulness, particularly in applications, presumably, in
view of its simpler mathematics.

Table of Contents

1 Introduction 1
2 Hamiltonian mechanics 23
3 Mathematical foundations of quantum mechanics 41
4 Dirac's ket- and bra-formalism 59
5 Schrodinger equation and Liouville equation 73
6 Quantum mechanics of the harmonic oscillator 83
7 Green's functions 105
8 Time-independent perturbation theory 129
9 The density matrix and polarization phenomena 161
10 Quantum theory : the general formalism 169
11 The Coulomb interaction 199
12 Quantum mechanical tunneling 249
13 Linear potentials 265
14 Classical limit and WKB method 281
15 Power potentials 307
16 Screened Coulomb potentials 319
17 Periodic potentials 339
18 Anharmonic oscillator potentials 379
19 Singular potentials 435
20 Large order behaviour of perturbation expansions 471
21 The path integral formalism 503
22 Classical field configurations 537
23 Path integrals and instantons 583
24 Path integrals and bounces on a line 619
25 Periodic classical configurations 649
26 Path integrals and periodic classical configurations 675
27 Quantization of systems with constraints 715
28 The quantum-classical crossover as phase transition 753
29 Summarizing remarks 773
A Properties of Jacobian elliptic functions 775

Product Details

* ISBN: 9812566929
* ISBN-13: 9789812566928
* Format: Paperback, 805pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: March 2006

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