Adiabatic Liouvillean in the theory of diffusion-limited recombination. I

Autor:	A G Rudavets, M G Rudavets
Rok vydání:	1992
Předmět:	Formalism (philosophy of mathematics) Quantum mechanics Lattice (order) Mathematical analysis Jump General Physics and Astronomy Statistical and Nonlinear Physics Quantum field theory Adiabatic process Mathematical Physics Recombination Mathematics
Zdroj:	Journal of Physics A: Mathematical and General. 25:5283-5295
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/25/20/011
Popis:	A regular method of deriving the governing adiabatic Liouvillean on a lattice for a many-body system of locally and instantaneously recombining particles in reaction A+B to 0 is described. When the rate U of the recombination tends to infinity, U to infinity , the local reaction Liouvillean is shown to be replaced with a non-local operator involving renormalized matrix elements which are proportional to (slow) diffusive jump rates. Properties of the new Liouvillean are described. Quantum field formalism is employed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2d5f79fe838bf47c9a1f76a76edfcb36 https://doi.org/10.1088/0305-4470/25/20/011 Zobrazit plný text záznamu