Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics

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• 作者：A. A. Andrianov ; A. V. Sokolov
• 关键词：matrix Hamiltonian ; extended supersymmetry algebra ; hidden symmetry
• 刊名：Theoretical and Mathematical Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：186
• 期：1
• 页码：2-20
• 全文大小：635 KB
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• 作者单位：A. A. Andrianov (1)
  A. V. Sokolov (1)
  
  1. St. Petersburg State University, St. Petersburg, Russia
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Applications of Mathematics
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-9333

文摘

We study properties of nonlinear supersymmetry algebras realized in the one-dimensional quantum mechanics of matrix systems. Supercharges of these algebras are differential operators of a finite order in derivatives. In special cases, there exist independent supercharges realizing an (extended) supersymmetry of the same super-Hamiltonian. The extended supersymmetry generates hidden symmetries of the super-Hamiltonian. Such symmetries have been found in models with (2×2)-matrix potentials. Keywords matrix Hamiltonian extended supersymmetry algebra hidden symmetry