Generation of exactly solvable potentials of the \(D\)-dimensional position-dependent mass Schrödinger equation using the transformation method
From MaRDI portal
Publication:895053
DOI10.1007/S11232-015-0290-2zbMath1327.81190OpenAlexW750252119MaRDI QIDQ895053
Publication date: 26 November 2015
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-015-0290-2
exact analytic solutionMorse potentialposition-dependent massextended transformationManning-Rosen potential
Related Items (3)
On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field ⋮ Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field ⋮ Exactly solvable potentials and the bound-state solution of the position-dependent mass Schrödinger equation in \(D\)-dimensional space
Cites Work
- Unnamed Item
- Unnamed Item
- Exact \(S\)-wave solution of the Schrödinger equation for three new potentials using the transformation method
- A new approach to the exact solutions of the effective mass Schrödinger equation
- Exact solution of effective mass Schrödinger equation for the Hulthen potential
- A transformation method of generating exact analytic solutions of the Schrödinger equation
- First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions
- Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential
- Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
- Exact solutions of the Schrödinger equation with position-dependent effective mass via general point canonical transformation
- Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential
- Effective mass Schrödinger equation and nonlinear algebras
- Systematic search of exactly solvable ring-shaped potential using the transformation method
- MORSE POTENTIAL AND ITS RELATIONSHIP WITH THE COULOMB IN A POSITION-DEPENDENT MASS BACKGROUND
- DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS
- EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS
- Generation of new classes of exactly solvable potentials
- Exact solution of position dependent mass Schrödinger equation by supersymmetric quantum mechanics
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- A Transformation Method to Construct Family of Exactly Solvable Potentials in Quantum Mechanics
- Exactly Solvable Extended Potentials in Arbitrary Dimensions
- Generation of New Exactly Solvable Potentials of Position-dependent Mass Schr\"odinger Equation by Extended Transformation Method
This page was built for publication: Generation of exactly solvable potentials of the \(D\)-dimensional position-dependent mass Schrödinger equation using the transformation method