Non-Hermitian \(d\)-dimensional Hamiltonians with position-dependent mass and their \(\eta\)-pseudo-Hermiticity generators
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Publication:871894
DOI10.1007/s10582-006-0392-zzbMath1110.81087arXivquant-ph/0603272OpenAlexW2018002769MaRDI QIDQ871894
S. Habib Mazharimousavi, Omar Mustafa
Publication date: 27 March 2007
Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0603272
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (10)
Position-dependent-mass: cylindrical coordinates, separability, exact solvability and \mathcal {PT} -symmetry ⋮ First-order intertwining operators with position dependent mass and \(\eta\)-weak-pseudo-hermiticity generators ⋮ \((1+1)\)-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 ⋮ PT-symmetric solutions of Schrödinger equation with position-dependent mass via point canonical transformation ⋮ Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass ⋮ \(\eta \)-weak-pseudo-hermiticity generators and radially symmetric Hamiltonians ⋮ Relativistic confinement of neutral fermions with partially exactly solvable and exactly solvable PT-symmetric potentials in the presence of position-dependent mass ⋮ Spherical-separability of non-Hermitian Hamiltonians and pseudo-\(\mathcal{PT}\)-symmetry ⋮ AUXILIARY QUANTIZATION CONSTRAINTS ON THE VON ROOS ORDERING-AMBIGUITY AT ZERO BINDING ENERGIES; AZIMUTHALLY SYMMETRIZED CYLINDRICAL COORDINATES
Cites Work
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- Equivalence of unstable anharmonic oscillators and double wells
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- Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
- 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
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
- Bohmian quantum theory of motion for particles with position-dependent effective mass
- Energy band structure due to a complex, periodic, PT-invariant potential
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