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The quasi-exactly solvable problems for two dimensional quantum systems

Liyan Liu$^1$, Chong Hou$^2$, Liqian Wei$^3$

Moscow University Physics Bulletin 2017. 72. N 1. P. 36

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Annotation

In this paper, we study the quasi-exactly solvable problems for two dimensional quantum systems. By using the Bethe ansatz method, we obtain the general form of the quasi-exactly solvable potential. Then, we present several examples to give the specific forms of quasi-exactly solvable potentials. In the examples, some physical models of quasi-exactly solvable problems are re-exhibited.

Received: 2016 May 11
Approved: 2016 November 25
PACS:
03.65.-w Quantum mechanics
03.65.Ge Solutions of wave equations: bound states
Rissian citation:
Liyan Liu, Chong Hou, Liqian Wei.
The Quasi-Exactly Solvable Problems for Two Dimensional Quantum Systems.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2017. № 1.
Authors
Liyan Liu$^1$, Chong Hou$^2$, Liqian Wei$^3$
$^1$College of Science, Civil Aviation University of China, Tianjin 300300, China
$^2$State grid anping county electric power supply company, Hengshui anping county 053600, China
$^3$College of Gemology and Material Technics, Shijiazhuang University of Economics, Shijiazhuang 050031, China
Issue 1, 2017

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