A REPRESENTATION OF THE BELAVKIN EQUATION VIA PHASE SPACE FEYNMAN PATH INTEGRALS-Reference-Cited by-同舟云学术

A REPRESENTATION OF THE BELAVKIN EQUATION VIA PHASE SPACE FEYNMAN PATH INTEGRALS

Published:2004-12 Issue:04 Volume:07 Page:507-526
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ALBEVERIO S.¹²,GUATTERI G.³,MAZZUCCHI S.²

Affiliation:

1. Institut für Angewandte Mathematik, Wegelerstr. 6, D-53115 Bonn, SFB256; SFB 611 BIBOS, Cerfim (Locarno), Acc. Arch.(USI), Mendrisio

2. Dipartimento di Matematica, Università di Trento, I-38050 Povo, Italia

3. Dipartimento di Matematica, Politecnico di Milano, I-20133 Milano, Italia

Abstract

The Belavkin equation, describing the continuous measurement of the momentum of a quantum particle, is studied. The existence and uniqueness of its solution is proved via analytic tools. A stochastic characteristics method is applied. A rigorous representation of the solution by means of an infinite dimensional oscillatory integral (Feynman path integral) defined on the phase space is also given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025704001748

Reference19 articles.

1. Finite Dimensional Approximation Approach to Oscillatory Integrals and Stationary Phase in Infinite Dimensions

2. Phase space Feynman path integrals

3. Lecture Notes in Mathematics;Albeverio S.,1976

4. Continuous Quantum Measurement: Local and Global Approaches

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