Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass (Q2481000)

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English	Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass	scientific article

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instance of

scholarly article

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title

Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass (English)

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7 April 2008

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zbMATH Keywords

Dirac equation

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position-dependent effective mass

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PT-symmetric potential

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.aop.2007.04.007

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cites work

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

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Shape invariant potentials withcalPcalTsymmetry

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Bound states of the five-parameter exponential-type potential model

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Physical realization of -symmetric potential scattering in a planar slab waveguide

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

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Exact solvability of potentials with spatially dependent effective masses

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Solution of the Dirac equation with position-dependent mass in the Coulomb field

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The Kepler problem in Dirac theory for a particle with position-dependent mass

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Approximation solution of the Dirac equation with position-dependent mass for the generalized Hulthén potential

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Classes of exact Klein-Gordon equations with spatially dependent masses: regularizing the one-dimensional inversely linear potential

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

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A unified recurrence operator method for obtaining normalized explicit wavefunctions for shape-invariant potentials

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Relativistic confinement of neutral fermions with a trigonometric tangent potential

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Identifiers

zbMATH Open document ID

1350.81015

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DOI

10.1016/j.aop.2007.04.007

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2481000