Lie-admissible perturbation methods for open quantum systems

A. Jannussis, R. Mignani and D. Skaltsas

Physica A: Statistical Mechanics and its Applications, 1992, vol. 187, issue 3, 575-588

Abstract: We consider open quantum systems described by a Hamiltonian of the type H0+λV, where λ is a small parameter. For such systems, we develop perturbative methods of solution of the corresponding Liouville-von Neumann and Schrödinger equations, by introducing “dissipation” operators which connect conservative to dissipative systems. In the case of the density matrix, the corresponding operator Λ is nothing but the non-unitary Λ-transformation of Misra, Prigogine and Courbage. Our perturbative approach possesses a Lie-admissible structure, since the “dissipation” operators obey time-evolution equations whose brackets are the product of a Lie-admissible algebra. Explicit solutions for such operators are found in the form of series expansions in λ. The matrix formulation of the above results is also given.

Date: 1992
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719290011E
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:187:y:1992:i:3:p:575-588

DOI: 10.1016/0378-4371(92)90011-E

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().