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This article is cited in 1 scientific paper (total 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
Citation:
S. Yu. Slavyanov, “Equation for a Product of Solutions of Two Different Schrödinger Equations”, TMF, 136:3 (2003), 410–417; Theoret. and Math. Phys., 136:3 (2003), 1251–1257
Linking options:
https://www.mathnet.ru/eng/tmf234https://doi.org/10.4213/tmf234 https://www.mathnet.ru/eng/tmf/v136/i3/p410
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Abstract page: | 385 | Full-text PDF : | 191 | References: | 46 | First page: | 3 |
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