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math-ph2015★ 1 cited
Propagators of isochronous an-harmonic oscillators and Mehler formula for the x-Hermite polynomials
Andrey M. Pupasov-Maksimov
It is shown that fundamental solutions of the non-stationary Schrödinger equation (Green functions, or propagators) for the rational ext…
math-ph2013★ 17 cited
Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov
Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical…
math-ph2013★ 1 cited
Multichannel generalization of eigen-phase preserving supersymmetric transformations
Andrey M. Pupasov-Maksimov
We generalize eigen-phase preserving (EPP) supersymmetric (SUSY) transformations to channel Schrödinger equation with equal thresholds. It is established that EPP SUSY transf…