Exactly solvable potentials and quantum algebras.
Exactly solvable potentials and quantum algebras.
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DOI：
10.1103/physrevlett.69.398
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发表时间：
1991-12
影响因子：
8.6
通讯作者：
V. Spiridonov
中科院分区：
文献类型：
--
作者：
V. Spiridonov
描述了一组精确可解的一维量子力学势。 If 由有限差分微分方程定义，在极限情况下生成 Rosen-Morse、谐波和 Poschl-Teller 势。通用解决方案包括 Shabaf 的无限数孤子系统，并导致满足 q 变形谐振子代数的升高和降低算子。在后一种情况下，能谱是纯指数的，物理状态形成量子共形代数 su q (1,1) 的可简化表示
A sef of exactly solvable one-dimensional quantum-mechanical potentials is described. If is defined by a finife-difference-differential equation generating in the limiting cases the Rosen-Morse, harmonic, and Poschl-Teller potentials. A general solution includes Shabaf's infinife number soliton system and leads to raising and lowering operafors satistying a q-deformed harmonic-oscillator algebra. In the latter case the energy spectrum is purely exponential and physical states form a reducible representation of the quantum conformal algebra su q (1,1)