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Change of Variables in Factorization Method for Second-order Functional Equations

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Czechoslovak Journal of Physics Aims and scope

Abstract

The factorization is a well-known method of solving difference and differential equations. We discuss the change of variables in the approach based on the notion of generalized derivative operator. It is shown that the method is equivariant with respect to the change of variables. Example related to the case of Rosen-Morse potential is presented.

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Authors and Affiliations

  1. Institute of Mathematics, University in Białystok, Lipowa 41, 15-424 Białystok, Poland alaryzko@alpha.uwb.edu.pl

    Alina Dobrogowska

  2. Institute of Mathematics, University in Białystok, Lipowa 41, 15-424 Białystok, Poland tomaszg@alpha.uwb.edu.pl

    Tomasz Goliński

  3. Institute of Mathematics, University in Białystok, Lipowa 41, 15-424 Białystok, Poland aodzijew@labfiz.uwb.edu.pl

    Anatol Odzijewicz

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  1. Alina Dobrogowska
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  2. Tomasz Goliński
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  3. Anatol Odzijewicz
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Dobrogowska, A., Goliński, T. & Odzijewicz, A. Change of Variables in Factorization Method for Second-order Functional Equations. Czech J Phys 54, 1257–1263 (2004). https://doi.org/10.1007/s10582-004-9787-x

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  • DOI: https://doi.org/10.1007/s10582-004-9787-x

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