Nonunique \(C\) operator \(PT\) in quantum mechanics

DOI10.1016/j.physleta.2009.05.066zbMath1231.81049arXiv0905.4673OpenAlexW1602631536MaRDI QIDQ663026

Carl M. Bender, S. P. Klevansky

Publication date: 13 February 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4673

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Operator algebra methods applied to problems in quantum theory (81R15) Isospectrality (58J53)

Related Items (5)

On a class of \(J\)-self-adjoint operators with empty resolvent set ⋮ Non-Hermitian non-PT-symmetric Dirac Hamiltonians with real energy eigenvalues ⋮ Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories ⋮ Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian ⋮ Matrix representation of the time operator

Cites Work

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• Must a Hamiltonian be Hermitian?
• Calculation of the hidden symmetry operator for a -symmetric square well
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• Calculation of the hidden symmetry operator in   -symmetric quantum mechanics
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• 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
• Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
• Continuous Hahn polynomials and the Heisenberg algebra

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