This article is cited in 1 paper

Equation for a Product of Solutions of Two Different Schrödinger Equations

S. Yu. Slavyanov

Saint-Petersburg State University

Abstract: Under the assumption that potentials in two Schrödinger equations differ by a polynomial of degree $k$, we derive a ($k+4$)th-order equation for a function that is a product of solutions of these equations. Several examples of applications in physics are considered.

Keywords: linear ODEs with polynomial coefficients, matrix elements, product of solutions of ODEs.

Received: 17.03.2003

DOI: 10.4213/tmf234

 English version: Theoretical and Mathematical Physics, 2003, 136:3, 1251–1257

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