\((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric
From MaRDI portal
Publication:930199
DOI10.1007/s10773-007-9539-3zbMath1140.81363arXivquant-ph/0611149OpenAlexW2020476780MaRDI QIDQ930199
Omar Mustafa, S. Habib Mazharimousavi
Publication date: 23 June 2008
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0611149
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Motion of charged particles (78A35)
Related Items (8)
PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory ⋮ PDM Klein–Gordon particles in Som–Raychaudhuri cosmic string spacetime with space-like dislocation and a magnetic field: Spacetime associated degeneracies, vorticity-energy, and charge-energy correlations ⋮ 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 ⋮ Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling ⋮ Cornell and Coulomb interactions for the D-dimensional Klein-Gordon equation ⋮ Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance ⋮ The relativistic Aharonov–Bohm–Coulomb system with position-dependent mass
Cites Work
- Dynamical breaking of supersymmetry
- Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians
- Non-Hermitian \(d\)-dimensional Hamiltonians with position-dependent mass and their \(\eta\)-pseudo-Hermiticity generators
- Exact closed-form solutions of the Dirac equation with a scalar exponential potential
- Exact solutions of the Schrödinger equation with position-dependent mass for some Hermitian and non-Hermitian potentials
- Quantum particles trapped in a position-dependent mass barrier; a \(d\)-dimensional recipe
- The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics
- A PT-invariant potential with complex QES eigenvalues
- PT-symmetric sextic potentials
- Nonrelativistic Green's function for systems with position-dependent mass
- Pseudo-Hermiticity, weak pseudo-Hermiticity and \(\eta \)-orthogonality condition
- \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
- First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions
- Approximate series solutions of the \(N\)-dimensional position-dependent mass Schrödinger equation
- Quasi-exact solvability of Dirac equation with Lorentz scalar potential
- 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
- -fold supersymmetry in quantum systems with position-dependent mass
- Comment on ‘Position-dependent effective mass Dirac equations withPT-symmetric and non-PT-symmetric potentials’
- Equivalence of unstable anharmonic oscillators and double wells
- PT-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes
- Asymptotic solvability of an imaginary cubic oscillator with spikes
- 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
- Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
- Is the norm always positive?
- Pseudo-Hermitian description ofPT-symmetric systems defined on a complex contour
- 𝓟𝓣-symmetric quantum mechanics
- Dirac and Klein Gordon particles in complex Coulombic fields: a similarity transformation
- EXACT SOLUTIONS OF DIRAC AND SCHRÖDINGER EQUATIONS FOR A LARGE CLASS OF POWER-LAW POTENTIALS AT ZERO ENERGY
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
- Weak pseudo-Hermiticity and antilinear commutant
- Pseudo-Hermiticity and generalized PT- and CPT-symmetries
- d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
- Position-dependent effective mass Dirac equations withPT-symmetric and non-PT-symmetric potentials
- (1+1)-DIMENSIONAL DIRAC EQUATION WITH NON-HERMITIAN INTERACTION
- A PT-symmetric QES partner to the Khare-Mandal potential with real eigenvalues
- Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials
This page was built for publication: \((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric
