On a factorization of the Schrödinger and Klein–Gordon operators | Zendy

Cerejeiras Paula | Zendy; Kähler Uwe | Zendy; Kravchenko Vladislav V. | Zendy

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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.

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