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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 3, Pages 410–417
DOI: https://doi.org/10.4213/tmf234 (Mi tmf234) 		 
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
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DOI: https://doi.org/10.4213/tmf234
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
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 3, Pages 1251–1257
DOI: https://doi.org/10.1023/A:1025695114718
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\paper Equation for a Product of Solutions of Two Different Schr\"odinger Equations
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\transl
\jour Theoret. and Math. Phys.
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\vol 136
\issue 3
\pages 1251--1257
\crossref{https://doi.org/10.1023/A:1025695114718}
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  • https://doi.org/10.4213/tmf234
  • https://www.mathnet.ru/eng/tmf/v136/i3/p410
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:46
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