Bound state solutions of the Schrödinger equation for reducible potentials: general Laurent series and four-parameter exponential-type potentials

DOI10.1016/0375-9601(94)90918-0zbMath0941.81525OpenAlexW1968975181MaRDI QIDQ1964813

Süleyman Özçelik, Mehmet Simsek

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90918-0

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (4)

Non-commutative Geometry and Applications to Physical Systems ⋮ Perturbation method for non-square Hamiltonians and its application to polynomial oscillators ⋮ Exact solutions to the Schrödinger equation for potentials with Coulomb and harmonic oscillator terms ⋮ Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities

Cites Work

• A second class of solvable potentials related to the Jacobi polynomials
• On the elementary Schrödinger bound states and their multiplets
• On the Vibrations of Polyatomic Molecules
• Shifted 1/N expansion and exact solutions for the potential V(r)=-Z/r+gr+λr²

This page was built for publication: Bound state solutions of the Schrödinger equation for reducible potentials: general Laurent series and four-parameter exponential-type potentials