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On a factorization of the Schrödinger and Klein–Gordon operators |
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| Authors: | Paula Cerejeiras Uwe Kähler Vladislav V Kravchenko |
| Institution: | 1. Departamento de Matemática, Universidade de Aveiro, P‐3810‐159 Aveiro, Portugal;2. Department of Mathematics, CINVESTAV, Queretaro, Libramiento Norponiente No. 2000, Fracc. Real de Juriquilla, Queretaro, Qro. C.P. 76230, Mexico |
| Abstract: | 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. |
| Keywords: | functions of hypercomplex variable non‐linear Schrö dinger equation parabolic Dirac operators |