(1+1)-DIMENSIONAL DIRAC EQUATION WITH NON-HERMITIAN INTERACTION

DOI10.1142/S0217732305017664zbMath1081.81036arXivquant-ph/0511252MaRDI QIDQ5699317

Anjana Sinha, Pinaki Roy

Publication date: 26 October 2005

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0511252

zbMATH Keywords

oscillatorPT symmetry\((1+1)\)-dimensional Dirac equationpseudo-supersymmetryScarf II potentialnon-Hermitian scalar and pseudoscalar interactions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (16)

Dirac equation in low dimensions: The factorization method ⋮ The \((1+1)\) dimensional Dirac equation with pseudoscalar potentials: path integral treatment ⋮ On the Dirac equation with PT-symmetric potentials in the presence of position-dependent mass ⋮ Non-Hermitian non-PT-symmetric Dirac Hamiltonians with real energy eigenvalues ⋮ \((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric ⋮ Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures ⋮ Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling ⋮ Position-dependent effective mass Schrödinger equations for PT-symmetric potentials ⋮ Deconstructing non-dissipative non-Dirac-Hermitian relativistic quantum systems ⋮ On the quantum behavior of a neutral fermion in a pseudoscalar potential barrier ⋮ Dirac equation with complex potentials ⋮ PSEUDO-HERMITIAN INTERACTIONS IN DIRAC THEORY: EXAMPLES ⋮ Overcritical \(\mathcal PT\)-symmetric square well potential in the Dirac equation ⋮ Bounded solutions of the Dirac equation with a PT-symmetric kink-like vector potential in two-dimensional space-time ⋮ Relativistic confinement of neutral fermions with partially exactly solvable and exactly solvable PT-symmetric potentials in the presence of position-dependent mass ⋮ DARBOUX TRANSFORMATION FOR THE ONE-DIMENSIONAL STATIONARY DIRAC EQUATION WITH NON-HERMITIAN INTERACTION

Cites Work

• \(\mathcal P\mathcal T\)-symmetric harmonic oscillators

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