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- W3100869162 abstract "A method to construct non-Dirac-hermitian supersymmetric quantum system that is isospectral with a Dirac-hermitian Hamiltonian is presented. The general technique involves a realization of the basic canonical (anti-)commutation relations involving both bosonic and fermionic degrees of freedom in terms of non-Dirac-hermitian operators which are hermitian in a Hilbert space that is endowed with a pre-determined positive-definite metric. A pseudo-hermitian realization of the Clifford algebra for a pre-determined positive-definite metric is used to construct supersymmetric systems with one or many degrees of freedom. It is shown that exactly solvable non-Dirac-hermitian supersymmetric quantum systems can be constructed corresponding to each exactly solvable Dirac-hermitian system. Examples of non-Dirac-hermitian (i) non-relativistic Pauli Hamiltonian, (ii) super-conformal quantum system and (iii) supersymmetric Calogero-type models admitting entirely real spectra are presented." @default.
- W3100869162 created "2020-11-23" @default.
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- W3100869162 date "2011-05-03" @default.
- W3100869162 modified "2023-10-16" @default.
- W3100869162 title "Deconstructing non-Dirac–Hermitian supersymmetric quantum systems" @default.
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- W3100869162 doi "https://doi.org/10.1088/1751-8113/44/21/215307" @default.
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