2009

Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics

Andrianov, Alexander A., Sokolov, Andrey V.

Understand

When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian.

  • We examine this problem in one-dimensional QM for the case of periodic potentials and potentials with finite number of bound states.
  • After the survey of the results existing in the subject the algebraic and analytic properties of hidden-symmetry differential operators are rigorously elaborated in the Theorems and illuminated by several examples.

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