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Matrix Hamiltonians: SUSY approach to hidden symmetries

Matrix Hamiltonians: SUSY approach to hidden symmetries

A new supersymmetric approach to dynamical symmetries for matrix quantum systems is explored. In contrast to standard one-dimensional quantum mechanics where there is no role for an additional symmetry due to nondegeneracy, matrix Hamiltonians allow nontrivial residual symmetries. This approach is based on a generalization of the intertwining relations familiar …