Lower bounds for quartic anharmonic and double-well potentials

Abstract

Rigorous and remarkably accurate lower bounds to the lower eigenvalue spectrum of the Schrödinger equation with quartic anharmonic and symmetric double-well potentials of the form V(A,B)=Ax2/2+Bx4(B≥0) are presented. This procedure exploits some exactly soluble model potentials and appears to be of quite general utility.