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On a factorization of the Schrödinger and Klein–Gordon operators
Author(s) -
Cerejeiras Paula,
Kähler Uwe,
Kravchenko Vladislav V.
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.999
Subject(s) - mathematics , factorization , scheme (mathematics) , order (exchange) , constant coefficients , constant (computer programming) , klein–gordon equation , variable (mathematics) , algebra over a field , schrödinger's cat , reduction (mathematics) , mathematical physics , pure mathematics , mathematical analysis , algorithm , nonlinear system , physics , quantum mechanics , computer science , geometry , finance , economics , programming language
A general scheme for factorizing second‐order time‐dependent operators of mathematical physics is given, which allows a reduction of corresponding second‐order equations to biquaternionic equations of first order. Examples of application of the proposed scheme are presented for both constant and variable coefficients. Copyright © 2008 John Wiley & Sons, Ltd.