English

Groundstate with Zero Eigenvalue for Generalized Sombrero-shaped Potential in $N$-dimensional Space

Quantum Physics 2009-11-13 v1

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.

Cite

@article{arxiv.0707.3474,
  title  = {Groundstate with Zero Eigenvalue for Generalized Sombrero-shaped Potential in $N$-dimensional Space},
  author = {Zhao Wei-Qin},
  journal= {arXiv preprint arXiv:0707.3474},
  year   = {2009}
}

Comments

8 pages, 3 figures

R2 v1 2026-06-21T09:01:05.657Z