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Supersymmetric Quantum Mechanics: An Introduction [Hardback]

(Loyola Univ Chicago, Usa), (Loyola Univ Chicago, Usa), (Loyola Univ Chicago, Usa)
  • Formāts: Hardback, 292 pages
  • Izdošanas datums: 25-Oct-2010
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9814313084
  • ISBN-13: 9789814313087
Citas grāmatas par šo tēmu:
  • Hardback
  • Cena: 95,03 €
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  • Formāts: Hardback, 292 pages
  • Izdošanas datums: 25-Oct-2010
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9814313084
  • ISBN-13: 9789814313087
Citas grāmatas par šo tēmu:
This is the first such text which will be directed to undergraduates. Our approach is to provide a self-contained exposition, which begins with a review of the relevant introductory quantum mechanics, then segues into SUSYQM. We concentrate on the essentials, both in the chapters developing the architecture, and in the later chapters of applications. While the text is designed to be accessible to undergraduate students, it should also be useful to graduate students and to researchers in the field. The text contains a large selection of examples and problems that illustrate the ideas and their applications. It is richly illustrated with figures that we have designed and produced. We have selected an attractive and relevant list of topics.
Preface vii
Part 1 Fundamentals of Supersymmetric Quantum Mechanics
1(92)
1 Introduction
3(6)
2 Traditional Quantum Mechanics---Clues to SUSYQM
9(20)
3 Operator Formalism in Quantum Mechanics
29(8)
4 Algebraic Solution for the Harmonic Oscillator
37(6)
5 Supersymmetric Quantum Mechanics
43(10)
6 Shape Invariance
53(10)
7 Supersymmetry and Its Breaking
63(18)
8 Potential Algebra
81(12)
Part 2 Applications
93(114)
9 Special Functions and SUSYQM
95(8)
10 Isospectral Deformations
103(8)
11 Generating Shape Invariant Potentials
111(10)
12 Singular Potentials in Supersymmetric Quantum Mechanics
121(14)
13 WKB and Supersymmetric WKB
135(12)
14 The Quantum Hamilton-Jacobi Formalism and SUSYQM
147(22)
15 Dirac Theory and SUSYQM
169(20)
16 Scattering in SUSYQM
189(14)
17 Natanzon Potentials
203(4)
Part 3 Summary
207(6)
18 Summary
209(4)
Part 4 Solutions to Problems
213(60)
19 Solutions to Problems
215(58)
Further Readings 273(4)
Index 277