Characteristics of quantum open systems: Free random variables approach

Evva Gudowska-Novvak, G. Papp, J. Brickmann

Research output: Article

2 Citations (Scopus)

Abstract

Random Matrix Theory provides an interesting tool for modelling a number of phenomena where noises (fluctuations) play a prominent role. Various applications range from the theory of mesoscopic systems in nuclear and atomic physics to biophysical models, like Hopfield-type models of neural networks and protein folding. Random Matrix Theory is also used to study dissipative systems with broken time-reversal invariance providing a setup for analysis of dynamic processes in condensed, disordered media. In the paper we use the Random Matrix Theory (RMT) within the formalism of Free Random Variables (alias Blue's functions), which allows to characterize spectral properties of non-Hermitean Hamiltonians. The relevance of using the Blue's function method is discussed in connection with application of non-Hermitean operators in various problems of physical chemistry.

Original languageEnglish
Pages (from-to)1803-1814
Number of pages12
JournalActa Physica Polonica B
Volume29
Issue number6
Publication statusPublished - dec. 1 1998

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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