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quant-phSep 1, 2002
10
citations (OpenAlex)
authors
  • V. M. Tkachuk
  • T. V. Fityo
institutions
  • Lviv University
arXiv abstractPDF
paper

Multidimensional quasi-exactly solvable potentials with two known eigenstates

arXiv:quant-ph/0209144 · doi:10.1016/S0375-9601(03)00296-2

Abstract

A general approach for constructing multidimensional quasi-exactly solvable (QES) potentials with explicitly known eigenfunctions for two energy levels is proposed. Examples of new QES potentials are presented.

12 pages

References in corpus (8)

  • New Methods for Two-Dimensional Schrödinger Equation: SUSY-separation of Variables and Shape Invariance
  • Intertwining Relations for the Matrix Calogero-like Models: Supersymmetry and Shape Invariance
  • Solvability of the F4​ Integrable System
  • Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom
  • On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates
  • Bound states in bottomless potentials
  • General approach to potentials with two known levels
  • Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates

Cited by in corpus (3)

  • An extended class of L2-series solutions of the wave equation
  • L2 series solutions of the Dirac equation for power-law potentials at rest mass energy
  • A class of singular logarithmic potentials in a box with variety of skin thickness and wall interaction
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