NONLINEAR ALGEBRAIC CONSTRUCTION FOR FIRST P?SCHL-TELLER POTENTIAL

NI ZHI-XIANG

doi:10.7498/aps.50.406

Abstract
Based on the theory of deformed Lie algebra, we construct a nonlinear spectrum-generating algebra for the first P?schl-Teller potential by use of the Hamiltonian and the natural operators. This nonlinear algebra can determine the energy spectrum and the complete set of eigenfunctions, and can be converted into the harmonic oscillator algebra through a nonlinear transformation, which shows there is a new symmetry in the system.

Keywords:
P?schl-Teller potential /

natural operators /

nonlinear spectrum-generating algebra
Authors and contacts
NI ZHI-XIANG

1.
阜阳师范学院物理系,阜阳236032,徐州师范大学物理系,徐州221009
References

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Vol. 50, Issue 3 - 2001-02-05

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NONLINEAR ALGEBRAIC CONSTRUCTION FOR FIRST P?SCHL-TELLER POTENTIAL

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