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Boris F. Samsonov

Publications and source records attributed to Boris F. Samsonov.

38 records · Page 3Linked to original sources

Time-dependent parasupersymmetry in quantum mechanics

Parasupersymmetry of the one dimensional time-dependent Schrödinger equation is established. It is intimately connected with a chain of the time-dependent Darboux transformations. As an example a parasupersymmetric model of nonrelativistic free particle with threefold degenerate discrete spectrum of an integral of motion is constructed.

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New features in supersymmetry breakdown in quantum mechanics

The supersymmetric quantum mechanical model based on higher-derivative supercharge operators possessing unbroken supersymmetry and discrete energies below the vacuum state energy is described. As an example harmonic oscillator potential is considered.

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