On a time-dependent extension of the Morse potential

DOI10.1063/1.527932zbMath0655.46063OpenAlexW2082805952MaRDI QIDQ3802081

Anne E. Kondo, D. Rodney Truax

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527932

zbMATH Keywords

separation of variablestime-dependent Schrödinger equationsbound and unbound state wave functionstime-dependent extension of a Morse potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Miscellaneous applications of functional analysis (46N99)

Related Items (4)

On the controllability of a quantum system for the Morse potential with a compact group SU(2) ⋮ Construction of coherent states for Morse potential: a su(2)-like approach ⋮ Time evolution and anti-bunching effect of diatomic molecules coherent states ⋮ The controllability of the pure states for the Morse potential with a dynamical group SU(1,1)

Cites Work

• Group theory approach to scattering
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential
• The generalized Morse oscillator in the SO(4,2) dynamical group scheme
• R-separation of variables for the time-dependent Hamilton–Jacobi and Schrödinger equations
• Symmetry of time-dependent Schrödinger equations. I. A classification of time-dependent potentials by their maximal kinematical algebras
• Symmetry of time-dependent Schrödinger equations. II. Exact solutions for the equation {∂x x+2i∂t−2g2(t)x2−2g1(t)x −2g0(t)}Ψ(x, t) = 0
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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