Time-dependent rational extensions of the parametric oscillator: quantum invariants and the factorization method
From MaRDI portal
Publication:5061341
DOI10.1088/1751-8121/ab78d1OpenAlexW3104530821MaRDI QIDQ5061341
Véronique Hussin, Kevin Zelaya
Publication date: 12 January 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.05643
factorization methodquantum invariantstime-dependent Hamiltoniansrational extensionsparametric oscillator
Related Items (3)
Supersymmetry and shape invariance of exceptional orthogonal polynomials ⋮ The physics and applications of strongly coupled Coulomb systems (plasmas) levitated in electrodynamic traps ⋮ Fourth Painlevé and Ermakov equations: quantum invariants and new exactly-solvable time-dependent Hamiltonians
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials
- Factorization method in quantum mechanics
- New 1-step extension of the Swanson oscillator and superintegrability of its two-dimensional generalization
- The finite difference algorithm for higher order supersymmetry
- Systems with higher-order shape invariance: spectral and algebraic properties
- Group approach to the paraxial propagation of Hermite-Gaussian modes in a parabolic medium
- Bi-orthogonal approach to non-Hermitian Hamiltonians with the oscillator spectrum: generalized coherent states for nonlinear algebras
- Supersymmetry of a nonstationary Schrödinger equation.
- Displaced and squeezed number states.
- First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions
- RICCATI EQUATION, FACTORIZATION METHOD AND SHAPE INVARIANCE
- GENERATING COMPLEX POTENTIALS WITH REAL EIGENVALUES IN SUPERSYMMETRIC QUANTUM MECHANICS
- SECOND ORDER DERIVATIVE SUPERSYMMETRY, q DEFORMATIONS AND THE SCATTERING PROBLEM
- Factorization method and new potentials with the oscillator spectrum
- New supersymmetry-generated complex potentials with real spectra
- Position-dependent mass oscillators and coherent states
- Second-order differential equations: Conditions of complete integrability
- New shape-invariant potentials in supersymmetric quantum mechanics
- Factorization: little or great algorithm?
- Transition elements for a non-Hermitian quadratic Hamiltonian
- Factorization Method and the Position-dependent Mass Problem
- Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators
- Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states
- Intertwining relations of non-stationary Schrödinger operators
- Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems
- Darboux transformations and supersymmetry for the generalized Schrödinger equations in (1+1) dimensions
- Interplay between Riccati, Ermakov, and Schrödinger equations to produce complex‐valued potentials with real energy spectrum
- Exact Quantization Conditions. II
- Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator
- Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
- Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
- The Factorization Method
- ASSOCIATED STURM-LIOUVILLE SYSTEMS
- Supersymmetry without Hermiticity within \(\mathcal{PT}\) symmetric quantum mechanics
This page was built for publication: Time-dependent rational extensions of the parametric oscillator: quantum invariants and the factorization method
