Convergent Iterative Solutions of Schroedinger Equation for a Generalized Double Well Potential

Details Convergent Iterative Solutions of Schroedinger Equation for a Generalized Double Well Potential Convergent Iterative Solutions of Schroedinger Equation for a Generalized Double Well Potential

2007-09-13

arxiv.org/abs/0709.1997v1

Physics

Quantum Physics

23 pages, 7 figures

Scientific paper

10.1016/j.aop.2007.09.006

We present an explicit convergent iterative solution for the lowest energy
state of the Schroedinger equation with a generalized double well potential
$V=\frac{g^2}{2}(x^2-1)^2(x^2+a)$. The condition for the convergence of the
iteration procedure and the dependence of the shape of the groundstate wave
function on the parameter $a$ are discussed.

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