PT-symmetric solutions of Schrödinger equation with position-dependent mass via point canonical transformation
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Publication:930258
DOI10.1007/s10773-007-9589-6zbMath1140.81369arXiv0709.2789OpenAlexW2591872981MaRDI QIDQ930258
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/0709.2789
Scarf potentialPoint canonical transformationPosition-dependent massEffective mass Schrödinger equationGeneralized harmonic oscillator
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
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Cites Work
- 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 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
- A PT-invariant potential with complex QES eigenvalues
- Exact solvability of potentials with spatially dependent effective masses
- Nonrelativistic Green's function for systems with position-dependent mass
- Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics
- \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
- Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework
- Isospectral partners of a complex PT-invariant potential
- Complex optical potentials and pseudo-Hermitian Hamiltonians
- Schrödinger operators with complex potential but real spectrum
- \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
- Complex periodic potentials with real band spectra.
- Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential
- Exact solutions of the position-dependent mass Schrödinger equation in \(D\) dimensions
- Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential
- Effective mass Schrödinger equation and nonlinear algebras
- Exactly solvable potentials for the Schrödinger equation with spatially dependent mass
- Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians
- Quasi-exactly solvable quartic potential
- An exactly soluble Schrödinger equation with smooth position-dependent mass
- A new class of quasi-exactly solvable potentials with a position-dependent mass
- A systematic study on the exact solution of the position dependent mass Schr dinger equation
- 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
- 𝒫𝒯-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentials
- Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
- Factorization and superpotential of thePTsymmetric Hamiltonian
- Space of state vectors in 𝒫𝒯-symmetric quantum mechanics
- Non-Hermitian supersymmetry and singular, 𝒫𝒯-symmetrized oscillators
- The extended Thomas–Fermi kinetic energy density functional with position-dependent effective mass in one dimension
- Mapping of the five-parameter exponential-type potential model into trigonometric-type potentials
- A GENERAL SCHEME FOR THE EFFECTIVE-MASS SCHRÖDINGER EQUATION AND THE GENERATION OF THE ASSOCIATED POTENTIALS
- Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- Energy eigenvalues for the systems with position-dependent effective mass
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
- Pseudo-Hermiticity and generalized PT- and CPT-symmetries
- New class of conditionally exactly solvable potentials in quantum mechanics
- Generation of isospectral combinations of the potential and the effective-mass variations by supersymmetric quantum mechanics
- SUSY QUANTUM MECHANICS WITH COMPLEX SUPERPOTENTIALS AND REAL ENERGY SPECTRA
- SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
- MAPPING OF NON-CENTRAL POTENTIALS UNDER POINT CANONICAL TRANSFORMATIONS
- EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS
- d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
- -symmetric effective mass Schrödinger equations
- Series Solutions of theN-Dimensional Effective-Mass Schrödinger Equation with the Power Law Potential
- Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
- Bound states of non-Hermitian quantum field theories