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

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.

8 pages, 3 figures

References in corpus (1)

• Invariance under complex transformations, and its relevance to the cosmological constant problem