Feynman formulas as a method of averaging random Hamiltonians

Feynman formulas as a method of averaging random Hamiltonians

We propose a method for finding the mathematical expectation of random unbounded operators in a Hilbert space. The method is based on averaging random one-parameter semigroups by means of the Feynman-Chernoff formula. We also consider an application of this method to the description of various opera...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics 2014-08, Vol.285 (1), p.222-232
Hauptverfasser: Orlov, Yu. N., Sakbaev, V. Zh, Smolyanov, O. G.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We propose a method for finding the mathematical expectation of random unbounded operators in a Hilbert space. The method is based on averaging random one-parameter semigroups by means of the Feynman-Chernoff formula. We also consider an application of this method to the description of various operations that assign quantum Hamiltonians to the classical Hamilton functions.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543814040154