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Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence Quantum Simulation

Solution of Second Order Supersymmetrical Intertwining Relations in Minkowski Plane

arXiv
Authors: M. V. Ioffe, E. V. Kolevatova, D. N. Nishnianidze

Year

2016

Paper ID

7786

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

Supersymmetrical (SUSY) intertwining relations are generalized to the case of quantum Hamiltonians in Minkowski space. For intertwining operators (supercharges) of second order in derivatives the intertwined Hamiltonians correspond to completely integrable systems with the symmetry operators of fourth order in momenta. In terms of components, the itertwining relations correspond to the system of nonlinear differential equations which are solvable with the simplest - constant - ansatzes for the "metric" matrix in second order part of the supercharges. The corresponding potentials are built explicitly both for diagonalizable and nondiagonalizable form of "metric" matrices, and their properties are discussed.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • Supersymmetrical (SUSY) intertwining relations are generalized to the case of quantum Hamiltonians in Minkowski space.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1608.07379 [2] arXiv https://arxiv.org/abs/1608.07379 [3] Publisher https://arxiv.org/abs/1608.07379

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