Nonlinear Spectrum-Generating Algebra for the Symmetrical P&ouml;schl-Teller Potential

Ni Zhixiang

Chinese Physics C> 1999, Vol. 23> Issue(3) : 289-297

Nonlinear Spectrum-Generating Algebra for the Symmetrical Pöschl-Teller Potential

Ni Zhixiang ^,

Department of Physics, Fuyang Teachers College, Fuyang 236032

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Abstract：
Using the Hamiltonian and the natural operators, we obtain a nonlinear spectrum-generating algebra for the symmetrical Pöschl-Teller Potential. This algebra gives a new method with obvious physical meaning to describe and solve the quantum motion in the Potential, and can be regarded as a new deformation of the oscillator algebra.

References

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Pschl G, Teller E. Z. Phys, 1993, 83:143–151 2 Wybourne B G Classical Groups for Physicists, John Wiley, New York, 1974. 207–2173 de Lange O L,Raab R E. Operator Methods in Quantum Mechanics, Clarendon Press,Oxford。1991.71–1204 Yan Hong. Chinese Science Bulletin(in Chinese),1991, 36:337–340(阎宏.科学通报,1991,36:337–340)5 Delbecq C, Quesne C J Phys,1993, A26:L127–L134 6 Ni Zhixiang Phys. Lett, 1997, A235:313–317 7 Nieto M M, Simmons Jr L M. Phys. Rev., 1979, D20:1332–13418 Lee T D. Particle Physics and Introduction to Field Theory, Harwood, London, 1981. 474–480 9 Han Qizhi,Sun Hongzhou. Group Theory (in Chinese).Beijing: Beijing University Press,1987. 225–233 (韩其智,孙洪洲.群论.北京:北京大学出版社,1987.225–233)10 Ni Zhixing Acta Physica Sinica(Overseas Edition).1998, 7: 183–189

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Ni Zhixiang. Nonlinear Spectrum-Generating Algebra for the Symmetrical Pöschl-Teller Potential[J]. Chinese Physics C, 1999, 23(3): 289-297.

Ni Zhixiang. Nonlinear Spectrum-Generating Algebra for the Symmetrical Pöschl-Teller Potential[J]. Chinese Physics C, 1999, 23(3): 289-297. shu

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Received: 1998-01-28
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Nonlinear Spectrum-Generating Algebra for the Symmetrical Pöschl-Teller Potential

Ni Zhixiang ^,

Corresponding author: Ni Zhixiang,

Department of Physics, Fuyang Teachers College, Fuyang 236032

Received Date: 1998-01-28
Accepted Date: 1900-01-01
Available Online: 1999-03-05

Abstract: Using the Hamiltonian and the natural operators, we obtain a nonlinear spectrum-generating algebra for the symmetrical Pöschl-Teller Potential. This algebra gives a new method with obvious physical meaning to describe and solve the quantum motion in the Potential, and can be regarded as a new deformation of the oscillator algebra.