The Schrödinger equation for the central nonpolynomial potential \(V(r)= r^2+ \lambda r^2/ (1+gr^2)\) in two and three dimensions
type: Item
instance of: scholarly article
title: The Schrödinger equation for the central nonpolynomial potential \(V(r)= r^2+ \lambda r^2/ (1+gr^2)\) in two and three dimensions
zbMATH Open document ID: 1055.81015
author: Yanyan Li
published in: National Academy Science Letters
publication date: 2004-11-16T00:00:00Z
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81U15
Mathematics Subject Classification ID: 81V80
zbMATH DE Number: 2115869
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: nonpolynomial potential
zbMATH Keywords: laser physics
zbMATH Keywords: quantum field theory
MaRDI profile type: Publication
Recommended article: Q5203333
Recommended article: Q4033018
Recommended article: Q4203624
Recommended article: Schrödinger equations on \(\mathbb{R}^3 \times \mathcal{M}\) with non-separable potential
Recommended article: Exact solutions of the two-dimensional Schrödinger equation with certain central potentials
Recommended article: A class of exactly solvable rationally extended non-central potentials in two and three dimensions
Recommended article: Schrödinger equation solutions for the central field power potential energy. II: \(V(r)=-V_{0}(r/a_{0}^{2{\nu}-2})\), \(0 {\leqslant}{\nu}{\leqslant} 1\), the bound states
Recommended article: The Schrödinger Equation with a Coulomb Plus Inverse-Square Potential inDDimensions
Recommended article: An eigenfunction expansion for the Schrödinger equation with arbitrary non-central potentials
Recommended article: Exact solutions of deformed Schrödinger equation with a class of non-central physical potentials
description: scientific article; zbMATH DE number 2115869