CONSTRUCTION OF APPROXIMATE ATTAINABILITY SETS FOR LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL INCLUSIONS

We present a numerical method for constructing, with a specified accuracy attainability sets for Lipschitzian quantum stochastic differential inclusions. Results here generalize the Komarov-Pevchikh results concerning classical differential inclusions to the present noncommutative quantum setting in...

Full description

Saved in:
Bibliographic Details
Published inStochastic analysis and applications Vol. 19; no. 3; pp. 461 - 471
Main Author Ayoola, E. O.
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Taylor & Francis Group 28.03.2001
Taylor & Francis
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Exponential vectors
Fock spaces
Functional analytical methods
Mathematics
Noncommutative multivalued stochastic processes
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Physics
Probability and statistics
Probability theory and stochastic processes
QSDI
Quantum mechanics
Sciences and techniques of general use
Stochastic analysis
Stochastic analysis
Non commutative stochastic process
Fock space
Inclusion
Differential equation
Exponential vector
Hilbert space
Stochastic process
Differential inclusion
Quantum stochastic differential inclusion
Linear operator
Online AccessGet full text
ISSN0736-2994
1532-9356
DOI10.1081/SAP-100002023

Cover

More Information
Summary:We present a numerical method for constructing, with a specified accuracy attainability sets for Lipschitzian quantum stochastic differential inclusions. Results here generalize the Komarov-Pevchikh results concerning classical differential inclusions to the present noncommutative quantum setting involving unbounded linear operators on a Hilbert space. AMS Subject Classification (1991): 60H10, 60H20, 65L05, 81S25.
ISSN:0736-2994
1532-9356
DOI:10.1081/SAP-100002023