Dong, Shi-Hai
Factorization Method in Quantum Mechanics
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)
- Dong, Shi-Hai
- Publisher
- Springer
- Publication year
- 2007
- Language
- en
- Edition
- 1
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9781402057960