Semi-exact Solutions of Konwent Potential

DOI10.1088/0253-6102/71/2/231zbMath1452.81097arXiv1805.06426OpenAlexW3101618412WikidataQ128373238 ScholiaQ128373238MaRDI QIDQ3387705

Shi-Hai Dong, Qian Dong, Eduardo Hernández-Márquez, Guo-Hua Sun, Shishan Dong, Ramón Silva-Ortigoza

Publication date: 13 January 2021

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06426

zbMATH Keywords

exact solutiondouble well potentialconfluent Heun functionKonwent potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

Semi-exact solutions of sextic potential plus a centrifugal term ⋮ Exact solutions of an asymmetric double well potential ⋮ An application of Heun functions in the quantum mechanics of a constrained particle ⋮ Exact solutions of the Schrödinger equation with a complex periodic potential ⋮ Exact solutions of the 1D Schrödinger equation with the Mathieu potential ⋮ Exact solutions of a quartic potential ⋮ Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpart

Cites Work

• Unnamed Item
• Unnamed Item
• Energy spectrum of the trigonometric Rosen-Morse potential using an improved quantization rule
• Factorization method in quantum mechanics
• Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential
• Exact solutions and ladder operators for a new anharmonic oscillator
• Exact solutions to solitonic profile mass Schrödinger problem with a modified Pöschl–Teller potential
• Scattering States of l -Wave Schrödinger Equation with Modified Rosen—Morse Potential
• New quasi-exactly solvable double-well potentials
• Wave Equations in Higher Dimensions
• Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order
• On the Vibrations of Polyatomic Molecules
• Exact analytical solutions of the Schrödinger equation for a two dimensional purely sextic double-well potential
• A certain double-well potential related to SU(2) symmetry
• Heun functions and quasi-exactly solvable double-well potentials
• On the solvability of the generalized hyperbolic double-well models
• On a solution of the Schrödinger equation with a hyperbolic double-well potential
• Exact Polynomial Solutions of Schrödinger Equation with Various Hyperbolic Potentials
• Bound states in a hyperbolic asymmetric double-well

This page was built for publication: Semi-exact Solutions of Konwent Potential