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Zbl 1091.81078
Jia, Chunsheng; Liu, Jianyi; Sun, Yu; He, Su; Sun, Liangtian
A unified treatment of exactly solvable trigonometric potential models.
(English)
[J] Phys. Scr. 73, No. 2, 164-168 (2006). ISSN 0031-8949; ISSN 1402-4896/e

Summary: By choosing appropriate parameters in the five-parameter exponential-type potential model, we generate systematic exactly solvable trigonometric potentials. We show that the energy spectra of some well-known exactly solvable trigonometric potentials can be obtained from a general energy spectrum formula. It is also shown that the five-parameter exponential-type potential model contains all the second class of shape-invariant trigonometric potentials with eigenfunctions corresponding to hypergeometric functions.
MSC 2000:
*81U15 Exactly and quasi-solvable systems
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Highlights
Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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