On the solvability of the generalized hyperbolic double-well models

DOI10.1063/1.4878118zbMath1292.81032OpenAlexW2086133946MaRDI QIDQ5171354

Davids Agboola

Publication date: 26 July 2014

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

Full work available at URL: https://espace.library.uq.edu.au/view/UQ:333379/UQ333379_OA.pdf

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (10)

Semi-exact solutions of sextic potential plus a centrifugal term ⋮ Exact solutions of the Razavy cosine type potential ⋮ Constructions of the soluble potentials for the nonrelativistic quantum system by means of the Heun functions ⋮ Semiexact solutions of the Razavy potential ⋮ Exact solutions of an asymmetric double well potential ⋮ New findings for two new type sine hyperbolic potentials ⋮ Semi-exact Solutions of Konwent Potential ⋮ Exact solutions of a quartic potential ⋮ Exact solutions of the sine hyperbolic type potential ⋮ Alternative quantisation condition for wavepacket dynamics in a hyperbolic double well

Cites Work

• Unnamed Item
• Unnamed Item
• Quasi-exactly solvable relativistic soft-core Coulomb models
• Classification of linear differential operators with an invariant subspace of monomials
• The Lie algebraic structure of differential operators admitting invariant spaces of polynomials
• Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
• Novel quasi-exactly solvable models with anharmonic singular potentials
• Unified derivation of exact solutions for a class of quasi-exactly solvable models
• Quasi-exact treatment of the relativistic generalized isotonic oscillator
• Exact polynomial solutions of second order differential equations and their applications
• On a solution of the Schrödinger equation with a hyperbolic double-well potential
• Exact Polynomial Solutions of Schrödinger Equation with Various Hyperbolic Potentials

This page was built for publication: On the solvability of the generalized hyperbolic double-well models