Groundstate with Zero Eigenvalue for Generalized Sombrero-Shaped Potential in N -Dimensional Space

DOI10.1088/0253-6102/50/1/30zbMath1392.81121arXiv0707.3474OpenAlexW2022006982MaRDI QIDQ4577523

Wei-Qin Zhao

Publication date: 3 August 2018

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

Abstract: Based on an iterative method for solving the goundstate of Schroedinger equation, it is found that a kind of generalized Sombrero-shaped potentials in N-dimensional space has groundstates with zero eigenvalue. The restrictions on the parameters in the potential are discussed.

Full work available at URL: https://arxiv.org/abs/0707.3474

zbMATH Keywords

zero eigenvalueiterative solutiongeneralized sombrero-shaped potential

Mathematics Subject Classification ID

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

This page was built for publication: Groundstate with Zero Eigenvalue for Generalized Sombrero-Shaped Potential in N -Dimensional Space