\((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric (Q930199)

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English	\((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric	scientific article

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instance of

scholarly article

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title

\((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric (English)

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author

Omar Mustafa

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S. Habib Mazharimousavi

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published in

International Journal of Theoretical Physics

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publication date

23 June 2008

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full work available at URL

https://arxiv.org/abs/quant-ph/0611149

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MaRDI profile type

MaRDI publication profile

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cites work

Dynamical breaking of supersymmetry

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Exact closed-form solutions of the Dirac equation with a scalar exponential potential

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

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Quasi-exact solvability of Dirac equation with Lorentz scalar potential

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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

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𝓟𝓣-symmetric quantum mechanics

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PT-symmetric sextic potentials

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A PT-invariant potential with complex QES eigenvalues

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Equivalence of unstable anharmonic oscillators and double wells

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The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics

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A PT-symmetric QES partner to the Khare-Mandal potential with real eigenvalues

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Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics

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Asymptotic solvability of an imaginary cubic oscillator with spikes

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PT-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes

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Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials

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Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum

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Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians

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Pseudo-Hermiticity and generalized PT- and CPT-symmetries

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Pseudo-Hermitian description ofPT-symmetric systems defined on a complex contour

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Exact solutions of the Schrödinger equation with position-dependent mass for some Hermitian and non-Hermitian potentials

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PSEUDO-HERMITIAN INTERACTION BETWEEN AN OSCILLATOR AND A SPIN-1/2 PARTICLE IN THE EXTERNAL MAGNETIC FIELD

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Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics

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Dirac and Klein Gordon particles in complex Coulombic fields: a similarity transformation

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Pseudo-Hermiticity, weak pseudo-Hermiticity and \(\eta \)-orthogonality condition

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

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Weak pseudo-Hermiticity and antilinear commutant

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Non-Hermitian \(d\)-dimensional Hamiltonians with position-dependent mass and their \(\eta\)-pseudo-Hermiticity generators

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Position-dependent effective mass Dirac equations withPT-symmetric and non-PT-symmetric potentials

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Comment on ‘Position-dependent effective mass Dirac equations withPT-symmetric and non-PT-symmetric potentials’

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First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions

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Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem

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-fold supersymmetry in quantum systems with position-dependent mass

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Approximate series solutions of the \(N\)-dimensional position-dependent mass Schrödinger equation

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Quantum particles trapped in a position-dependent mass barrier; a \(d\)-dimensional recipe

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d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass

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Nonrelativistic Green's function for systems with position-dependent mass

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EXACT SOLUTIONS OF DIRAC AND SCHRÖDINGER EQUATIONS FOR A LARGE CLASS OF POWER-LAW POTENTIALS AT ZERO ENERGY

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Is the norm always positive?

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Identifiers

zbMATH Open document ID

1140.81363

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DOI

10.1007/s10773-007-9539-3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:930199