Dirac equation with complex potentials

DOI10.1142/S0217732314502101zbMath1305.81132arXiv1407.0161OpenAlexW2079295148MaRDI QIDQ5174263

Choon-Lin Ho, Pinaki Roy

Publication date: 17 February 2015

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

Full work available at URL: https://arxiv.org/abs/1407.0161

zbMATH Keywords

complex potentialsDirac equationenergy-dependent potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Coherent states for graphene under the interaction of crossed electric and magnetic fields ⋮ Time-dependent massless Dirac fermions in graphene

Cites Work

• Unnamed Item
• Applying supersymmetry to energy dependent potentials
• Pseudo Hermitian interactions in the Dirac equation
• Non-Hermitian non-PT-symmetric Dirac Hamiltonians with real energy eigenvalues
• Overcritical \(\mathcal PT\)-symmetric square well potential in the Dirac equation
• Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling
• Exactly solvable energy-dependent potentials
• Quasi-exact solvability of Dirac equation with Lorentz scalar potential
• PSEUDO-HERMITIAN INTERACTIONS IN DIRAC THEORY: EXAMPLES
• Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems
• 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
• Periodic potentials and supersymmetry
• Reflectionless {\cal P}{\cal T} -symmetric potentials in the one-dimensional Dirac equation
• (1+1)-DIMENSIONAL DIRAC EQUATION WITH NON-HERMITIAN INTERACTION
• Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential

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