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Stochastic and numerical approaches to dissipative quantum dynamics: path integrals and beyond
Author(s) -
Stockburger Jürgen T.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301796
Subject(s) - path integral formulation , dissipative system , salient , formalism (music) , statistical physics , dissipation , quantum , markov process , perspective (graphical) , stochastic process , quantum dynamics , classical mechanics , computer science , physics , mathematics , quantum mechanics , artificial intelligence , art , musical , statistics , visual arts
Recent advances using non‐Markovian stochastic techniques in the treatment of system–reservoir models of quantum dissipation are reviewed, outlining their derivation from the influence functional formalism and discussing their new features and potential applications. A coherent perspective of the salient features in the mathematical foundations of dissipative quantum mechanics, diverse established perturbative and numerical methods, and more recent non‐Markovian stochastic approaches is attempted.