Research Article

On a factorization of the Schrödinger and Klein–Gordon operators

  1. Paula Cerejeiras1,*,
  2. Uwe Kähler1,
  3. Vladislav V. Kravchenko2

Article first published online: 26 FEB 2008

DOI: 10.1002/mma.999

Issue

Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences

Volume 31, Issue 14, pages 1722–1738, 25 September 2008

Additional Information

How to Cite

Cerejeiras, P., Kähler, U. and Kravchenko, V. V. (2008), On a factorization of the Schrödinger and Klein–Gordon operators. Mathematical Methods in the Applied Sciences, 31: 1722–1738. doi: 10.1002/mma.999

Author Information

  1. 1

    Departamento de Matemática, Universidade de Aveiro, P-3810-159 Aveiro, Portugal

  2. 2

    Department of Mathematics, CINVESTAV, Queretaro, Libramiento Norponiente No. 2000, Fracc. Real de Juriquilla, Queretaro, Qro. C.P. 76230, Mexico

*Departamento de Matemática, Universidade de Aveiro, P-3810-159 Aveiro, Portugal

Publication History

  1. Issue published online: 7 AUG 2008
  2. Article first published online: 26 FEB 2008
  3. Manuscript Received: 15 FEB 2007

Funded by

  • Fundação para Ciência e Tecnologia. Grant Number: SFRH/BSAB/495/2005
  • Unidade de Investigação Matemática e Aplicações of the University of Aveiro
  • CONACYT, Mexico

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Keywords:

  • functions of hypercomplex variable;
  • non-linear Schrödinger equation;
  • parabolic Dirac operators

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.

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