Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential

DOI10.1155/2017/2181532zbMath1366.81148arXiv1702.06181OpenAlexW2594694313WikidataQ59142154 ScholiaQ59142154MaRDI QIDQ2364313

Yanyan Li

Publication date: 18 July 2017

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06181

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly solvable models; Bethe ansatz (82B23) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

Semiexact solutions of the Razavy potential ⋮ Semi-exact Solutions of Konwent Potential

Cites Work

• Unnamed Item
• A novel approach to solve quasiexactly solvable Pauli equation
• Generation of a novel exactly solvable potential
• Supersymmetric quantum mechanics and solvable models
• Quasi-exact solvability of a hyperbolic intermolecular potential induced by an effective mass step
• Factorization method in quantum mechanics
• Quasi-exactly solvable generalizations of Calogero-Sutherland models
• Exact solutions of the two-dimensional Schrödinger equation with certain central potentials
• Unified treatment of a class of spherically symmetric potentials: quasi-exact solution
• Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
• Methods for generating quasi-exactly solvable potentials
• Study of Davydov–Chaban approach considering shifted Killingbeck potential for any l-state
• New quasi-exactly solvable double-well potentials
• Wave Equations in Higher Dimensions
• Exact polynomial solutions of second order differential equations and their applications
• Lie-algebras and linear operators with invariant subspaces
• On the Solutions of the Schrödinger Equation with some Anharmonic Potentials: Wave Function Ansatz
• CORNELL AND KRATZER POTENTIALS WITHIN THE SEMIRELATIVISTIC TREATMENT
• Heun functions and quasi-exactly solvable double-well potentials
• Quasi-exactly solvable systems and orthogonal polynomials
• The Factorization Method
• A new approach to the relativistic Schrödinger equation with central potential: ansatz method

This page was built for publication: Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential