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Dong, Shi-Hai

Factorization Method in Quantum Mechanics

Dong, Shi-Hai - Factorization Method in Quantum Mechanics, ebook

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ISBN: 9781402057960
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Table of contents

PART I. INTRODUCTION

1. INTRODUCTION
Shi-Hai Dong

PART II. METHOD

2. THEORY
Shi-Hai Dong

3. LIE ALGEBRAS SU(2) AND SU(1, 1)
Shi-Hai Dong

PART III. APPLICATIONS IN NON-RELATIVISTIC QUANTUM MECHANICS

4. HARMONIC OSCILLATOR
Shi-Hai Dong

5. INFINITELY DEEP SQUARE-WELL POTENTIAL
Shi-Hai Dong

6. MORSE POTENTIAL
Shi-Hai Dong

7. PÖSCHL-TELLER POTENTIAL
Shi-Hai Dong

8. PSEUDOHARMONIC OSCILLATOR
Shi-Hai Dong

9. ALGEBRAIC APPROACH TO AN ELECTRON IN A UNIFORM MAGNETIC FIELD
Shi-Hai Dong

10. RING-SHAPED NON-SPHERICAL OSCILLATOR
Shi-Hai Dong

11. GENERALIZED LAGUERRE FUNCTIONS
Shi-Hai Dong

12. NEW NONCENTRAL RING-SHAPED POTENTIAL
Shi-Hai Dong

13. PÖSCHL-TELLER LIKE POTENTIAL
Shi-Hai Dong

14. POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR
Shi-Hai Dong

PART IV. APPLICATIONS IN RELATIVISTIC QUANTUM MECHANICS

15. SUSYQM AND SWKB APPROACH TO THE DIRAC EQUATION WITH A COULOMB POTENTIAL IN 2+1 DIMENSIONS
Shi-Hai Dong

16. REALIZATION OF DYNAMIC GROUP FOR THE DIRAC HYDROGEN-LIKE ATOM IN 2+1 DIMENSIONS
Shi-Hai Dong

17. ALGEBRAIC APPROACH TO KLEIN-GORDON EQUATION WITH THE HYDROGEN-LIKE ATOM IN 2+1 DIMENSIONS
Shi-Hai Dong

18. SUSYQM AND SWKB APPROACHES TO RELATIVISTIC DIRAC AND KLEIN-GORDON EQUATIONS WITH HYPERBOLIC POTENTIAL
Shi-Hai Dong

PART V. QUANTUM CONTROL

19. CONTROLLABILITY OF QUANTUM SYSTEMS FOR THE MORSE AND PT POTENTIALS WITH DYNAMIC GROUP SU(2)
Shi-Hai Dong

20. CONTROLLABILITY OF QUANTUM SYSTEM FOR THE PT-LIKE POTENTIAL WITH DYNAMIC GROUP SU(1, 1)
Shi-Hai Dong

PART VI. CONCLUSIONS AND OUTLOOKS

21. CONCLUSIONS AND OUTLOOKS
Shi-Hai Dong

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Keywords: SCIENCE / Physics SCI055000

Author(s)
Publisher
Springer
Publication year
2007
Language
en
Edition
1
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9781402057960

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