Geodesic
Equation for a Product of Solutions of Two Different Schr\"odinger Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 410-417

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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
Mots-clés : matrix elements, product of solutions of ODEs. 
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     author = {S. Yu. Slavyanov},
     title = {Equation for a {Product} of {Solutions} of {Two} {Different} {Schr\"odinger} {Equations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {410--417},
     publisher = {mathdoc},
     volume = {136},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a3/}
}
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S. Yu. Slavyanov. Equation for a Product of Solutions of Two Different Schr\"odinger Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 410-417. http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a3/