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Factorization method in quantum mechanics

Author: Shi-Hai Dong
Publisher: Dordrecht : Springer, ©2007.
Series: Fundamental theories of physics, v. 150.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This book introduces the factorization method in quantum mechanics at an advanced level, with the aim of putting mathematical and physical concepts and techniques like the factorization method, Lie  Read more...

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Additional Physical Format: Online version:
Dong, Shi-Hai.
Factorization method in quantum mechanics.
Dordrecht : Springer, ©2007
(OCoLC)846124081
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Shi-Hai Dong
ISBN: 9781402057953 1402057954 9781402057960 1402057962
OCLC Number: 124038194
Description: xix, 297 pages : illustrations ; 25 cm.
Contents: 1. Introductions --
2. Theory --
3. Lie Algebras SU(2) AND SU(1,1) --
4. Harmonic Oscillator --
5. Infinitely Deep Square-Well Potential --
6. Morse Potential --
7. Poschl-Teller Potential --
8. Pseudoharmonic Oscillator --
9. Algebraic Approach To An Electron in a Uniform Magnetic Field --
10. Ring-Shaped Non-Spherical Oscillator --
11. Generalized Laguerre Functions --
12. New Noncentral Ring-Shaped Potential --
13. Poschl-Teller Like Potential --
14. Position-Dependent Mass Schrodinger Equation For A Singular Oscillator --
15. SUSYQM and SWKB Approach To The Dirac Equation with a Coulomb Potential In 2+1 Dimensions --
16. Realization of Dynamic Group For The Dirac Hydrogen-Like Atom IN 2+1 Dimensions --
17. Algebraic Approach To Klein-Gordon Equation with the Hydrogen-Like Atom In 2+1 Dimensions --
18. SUSYQM and SWKB Approaches to Relativistic Dirac and Klein-Gordon Equations with Hyperbolic Potential --
19. Controllability of Quantum Systems For the Morse and PT Potentials with Dynamic Group SU(2) --
20. Controllability of Quantum Systems for the PT-Like Potential with Dynamic Group SU(1,1) --
21. Conclusions and Outlooks.
Series Title: Fundamental theories of physics, v. 150.
Responsibility: Shi-Hai Dong.
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