Chinese Physics C > 1999, Vol. 23 > Issue(7): 650-654

Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials

Ma Tao^,,
Ni Zhixiang

Physics Department, Fuyang Teachers College, Fuyang 236032

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Abstract：
Using supersymmetric quantum mechanics, serveral new classes of condihonally exactly solvable potentials are constructed from the displaced non-harmonic oscillator potential. And the corresponding nonlinear spectrum-generating algebras are obtained.

References

[1]

Dutra A de S. Phys. Rev., 1993, A47: R2435–R2437.2 Junker G, Roy P. Phys. Lett., 1997, A232:155 3 M Z. Acta Physica Sinica (in Chinese), 1997, 46: 1687(倪致祥. 物理学报, 1997,46:1687) 4 Sukumar C V. J. Phys., 1985, A18:2917 5 Zhang J, Li X, Ni Z. Phys. Lett., 1996, A214: 107 6 Ni Z. Phys. Lett., 1997, A235:313

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[20]	CHU CHUNG-YUAN AN ING,. A MODEL OF THE STRUCTURE OF MESONS WITH A COVARIANT OSCILLATOR POTENTIAL. Chinese Physics C, 1977, 1(1): 47-51.

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Ma Tao and Ni Zhixiang. Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials[J]. Chinese Physics C, 1999, 23(7): 650-654.

Ma Tao and Ni Zhixiang. Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials[J]. Chinese Physics C, 1999, 23(7): 650-654. shu

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Received: 1998-05-15
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

Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials

Ma Tao^,
Ni Zhixiang

Corresponding author:Ma Tao,

Physics Department, Fuyang Teachers College, Fuyang 236032

Received Date:1998-05-15
Accepted Date:1900-01-01
Available Online:1999-07-05

Abstract:Using supersymmetric quantum mechanics, serveral new classes of condihonally exactly solvable potentials are constructed from the displaced non-harmonic oscillator potential. And the corresponding nonlinear spectrum-generating algebras are obtained.