Introduction to Quantum Mechanics: Schrodinger Equation and Path Integral

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Product Details

  • ISBN-13: 9789812566911
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 3/28/2006
  • Pages: 828
  • Product dimensions: 6.10 (w) x 9.90 (h) x 1.90 (d)

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
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