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Factorization of the Non‐stationary Heat Equation
Author(s) -
Cerejeiras Paula
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610292
Subject(s) - riccati equation , generalization , factorization , mathematics , ordinary differential equation , order (exchange) , differential equation , operator (biology) , heat equation , first order partial differential equation , mathematical analysis , chemistry , algorithm , biochemistry , finance , repressor , transcription factor , economics , gene
In this paper we describe a factorization of the heat operator Δ x – ∂ t based on methods of Clifford analysis, in order to reduce the non‐stationary Schrödinger equation to a first order differential equation, which is the direct n‐dimensional generalization of the ordinary differential Riccati equations. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)