New integrable two-dimensional systems generated by deformed susy algebras

被引：0

作者：

Andrianov A. ^{[1
]}

Ioffe M. ^{[1
]}

Nishnianidze D. ^{[1
]}

机构：

[1] St.Petersburg State University,

来源：

Journal of Mathematical Sciences | 2001年 / 104卷 / 3期

基金：

俄罗斯基础研究基金会;

关键词：

System Generate; Fourth Order; Classical System; Classical Limit; Scalar Quantum;

D O I：

10.1023/A:1011305108663

中图分类号：

学科分类号：

摘要：

New solutions of intertwining relations for two-dimensional scalar quantum Hamiltonians by second-order supercharges with Lorentz and degenerate metrics are obtained. The symmetry operators for components of superhamiltonian that lead to integrability of corresponding systems are found. Expressions for the Hamiltonians and the symmetry operators in the classical limit are constructed. A new class of integrable two-dimensional classical systems with integrals of motion of fourth order in momenta is obtained. © 2001 Plenum Publishing Corporation.

引用

页码：1184 / 1194

页数：10

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