On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications
From MaRDI portal
Publication:2406091
DOI10.1016/j.physleta.2016.12.040zbMath1371.83168arXiv1605.06829OpenAlexW2402259162WikidataQ114141709 ScholiaQ114141709MaRDI QIDQ2406091
Ivan Gutierrez-Sagredo, Ángel Ballesteros, Pedro Naranjo
Publication date: 26 September 2017
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.06829
Related Items (7)
Global versus local superintegrability of nonlinear oscillators ⋮ On two-dimensional Hamiltonian systems with sixth-order integrals of motion ⋮ The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories ⋮ Two-dimensional integrable systems with position-dependent mass via complex holomorphic functions ⋮ Geometrical formulation of relativistic mechanics ⋮ Symmetries and integrals of motion of a superintegrable deformed oscillator ⋮ Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in general relativity
Cites Work
- Unnamed Item
- Unnamed Item
- Addendum to ``An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates
- Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schrödinger Hamiltonians
- A new exactly solvable quantum model in \(N\) dimensions
- Curvature from quantum deformations
- An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric
- Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability
- Quantum wave packet revival in two-dimensional circular quantum wells with position-dependent mass
- \(N\)-dimensional \(\mathrm{sl}(2)\)-coalgebra spaces with non-constant curvature
- On the nonlocal symmetries of certain nonlinear oscillators and their general solution
- Classical and quantum position-dependent mass harmonic oscillators
- New scenarios for classical and quantum mechanical systems with position-dependent mass
- Quantum particles trapped in a position-dependent mass barrier; a \(d\)-dimensional recipe
- Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles
- Lagrangian for the Frenkel electron
- Ultrarelativistic spinning particle and a rotating body in external fields
- First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions
- The quantum harmonic oscillator on the sphere and the hyperbolic plane
- The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II
- Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces
- Special function solutions of a spectral problem for a nonlinear quantum oscillator
- Dynamical symmetries in a spherical geometry. I
- A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators
- Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
- On a unique nonlinear oscillator
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- An exactly solvable Schrödinger equation with finite positive position-dependent effective mass
- An exactly solvable three-dimensional nonlinear quantum oscillator
This page was built for publication: On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications
