LINKED ${\mathcal{PT}}$-SYMMETRY TO SUPERSYMMETRY IN A CLASS OF NON-HERMITIAN HAMILTONIANS
DOI10.1142/S0217751X12500467zbMath1247.81134arXiv0804.2011MaRDI QIDQ2919204
Publication date: 2 October 2012
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.2011
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Symmetry breaking in quantum theory (81R40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
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Cites Work
- Comment on `Supersymmetry, PT-symmetry and spectral bifurcation'
- Supersymmetry, PT-symmetry and spectral bifurcation
- Deconstructing non-Dirac–Hermitian supersymmetric quantum systems
- ExactPT-symmetry is equivalent to Hermiticity
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- On pseudo-Hermitian Hamiltonians and their Hermitian counterparts
- 𝓟𝓣-symmetric quantum mechanics
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
- Transition elements for a non-Hermitian quadratic Hamiltonian
- -symmetric cubic anharmonic oscillator as a physical model
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