A General Integral Identity
A family of general integral identities is derived and several applications of physical interest are presented
math-ph↗
arXiv subjects
M L Glasser
Publications and source records attributed to M L Glasser.
Second Order Darboux Displacements
The potentials for a one dimensional Schroedinger equation that are displaced along the x axis under second order Darboux transformations, called 2-SUSY invariant, are characterized in terms of a differential-difference equation. The solutions of the Schroedinger equation with such potentials are given analytically for any value of the energy. The method is illustrated by a two-soliton potential. It is proven that a particular case of the periodic Lame-Ince potential is 2-SUSY invariant. Both Bloch solutions of the corresponding Schroedinger equation equation are found for any value of the energy. A simple analytic expression for a family of two-gap potentials is derived.
quant-ph↗