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Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations
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Belavkin, V. P. and Kolokoltsov, V. N. (Vasiliĭ Nikitich). (2002) Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations. Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol.5 (No.1). pp. 6191. ISSN 0219 0257

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Official URL: http://dx.doi.org/10.1142/S0219025702000717
Abstract
We develop systematically a new unifying approach to the analysis of
linear stochastic, quantum stochastic and even deterministic equations in
Banach spaces. Solutions to a wide class of these equations (in particular those decribing the processes of continuous quantum measurements)
are proved to coincide with the interaction representations of the solutions to certain Dirac type equations with boundary conditions in pseudo
Fock spaces. The latter are presented as the semiclassical limit of an appropriately dressed unitary evolutions corresponding to a boundaryvalue
problem for rather general Schrödinger equations with bounded below
Hamiltonians.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Divisions:  Faculty of Science > Statistics  
Library of Congress Subject Headings (LCSH):  Stochastic processes, Banach spaces, Schrödinger equation  
Journal or Publication Title:  Infinite Dimensional Analysis, Quantum Probability and Related Topics  
Publisher:  World Scientific Publishing  
ISSN:  0219 0257  
Official Date:  2002  
Dates: 


Volume:  Vol.5  
Number:  No.1  
Page Range:  pp. 6191  
Identification Number:  10.1142/S0219025702000717  
Status:  Peer Reviewed  
Publication Status:  Published  
Access rights to Published version:  Restricted or Subscription Access  
References:  [1] L. Accardi, R. Alicki, A. Frigerio, and Y.G. Lu. An invitation to the weak 

URI:  http://wrap.warwick.ac.uk/id/eprint/39366 
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