Complex SUSY Transformations and the Painleve IV Equation

被引：16
作者：
Bermudez, David [1 ]
机构：
[1] CINVESTAV, Dept Fis, Mexico City 07000, DF, Mexico
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2012年 / 8卷
关键词：
supersymmetric quantum mechanics; Painleve equations; differential equations; quantum harmonic oscillator; polynomial Heisenberg algebras; BACKLUND-TRANSFORMATIONS; DARBOUX TRANSFORMATION; QUANTUM-MECHANICS; FACTORIZATION; SUPERSYMMETRY; HAMILTONIANS; POTENTIALS; CHAINS;
D O I：
10.3842/SIGMA.2012.069
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials. Furthermore, we will show that this systems lead us to exact complex solutions of the Painleve IV equation with complex parameters. We present some concrete examples of such solutions.
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页数：10
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