Theoretical and Mathematical Physics

, Volume 104, Issue 3, pp 1129–1140 | Cite as

Polynomial supersymmetry and dynamical symmetries in quantum mechanics

  • A. A. Andrianov
  • M. V. Ioffe
  • D. N. Nishnianidze
Article

Abstract

A polynomial generalization of supersymmetry in quantum mechanics in one and two dimensions is proposed. Polynomial superalgebras in one dimension are classified. In two dimensions, a detailed analysis is made for supercharges of second order with respect to derivatives and it is shown that in all cases the binomial superalgebra leads to hidden dynamical symmetry generated by the central charge.

Keywords

Detailed Analysis Quantum Mechanic Central Charge Dynamical Symmetry Polynomial Generalization 

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. A. Andrianov
    • 1
  • M. V. Ioffe
    • 1
  • D. N. Nishnianidze
    • 1
  1. 1.Institute of PhysicsSt. Petersburg State UniversityUSSR

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