PSEUDO-HERMITIAN INTERACTIONS IN DIRAC THEORY: EXAMPLES

DOI10.1142/S0217732310032901zbMath1193.81030arXivquant-ph/0605233OpenAlexW1984921954MaRDI QIDQ3583254

Bhabani Prasad Mandal, Saurabh Gupta

Publication date: 26 August 2010

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0605233

zbMATH Keywords

pseudo-Hermitian theoryPT symmetric non-HermitianRasbha interaction

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (8)

Pseudo-Hermitian and \(\mathcal{P}T\)-symmetric quantum systems with energy-dependent potentials: bound-state solutions and energy spectra ⋮ Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system ⋮ Pseudo Hermitian interactions in the Dirac equation ⋮ \textit{PT} phase transition in higher-dimensional quantum systems ⋮ Various scattering properties of a new PT-symmetric non-Hermitian potential ⋮ PT phase transition in a \((2+1)\)-d relativistic system ⋮ Deconstructing non-dissipative non-Dirac-Hermitian relativistic quantum systems ⋮ Dirac equation with complex potentials

Cites Work

• Dual \(\mathcal P\mathcal T\)-symmetric quantum field theories
• Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians
• On some meaningful inner product for real Klein-Gordon fields with positive semi-definite norm
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• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Quantum mechanics of Klein--Gordon-type fields and quantum cosmology.
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• On the real spectra of the Calogero model with complex coupling
• Handedness of complex PT-symmetric potential barriers
• Quantum mechanics of Klein-Gordon fields. I: Hilbert space, localized states, and chiral symmetry
• Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
• PSEUDO-HERMITIAN INTERACTION BETWEEN AN OSCILLATOR AND A SPIN-1/2 PARTICLE IN THE EXTERNAL MAGNETIC FIELD
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• Space of state vectors in 𝒫𝒯-symmetric quantum mechanics
• Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
• Pseudo-Hermitian description ofPT-symmetric systems defined on a complex contour
• PHASE SHIFT ANALYSIS OF PT-SYMMETRIC NONHERMITIAN EXTENSION OF A_N-1 CALOGERO MODEL WITHOUT CONFINING INTERACTION
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• FRACTIONAL STATISTICS IN SOME EXACTLY SOLVABLE MODELS WITH PT INVARIANT INTERACTIONS
• Non-local \mathcal{PT} -symmetric potentials in the one-dimensional Dirac equation
• (1+1)-DIMENSIONAL DIRAC EQUATION WITH NON-HERMITIAN INTERACTION
• On an exactly solvable \(B_N\) type Calogero model with non-Hermitian PT invariant interaction

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