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Titolo:
INTEGRAL KERNEL OPERATORS ON FOCK SPACE - GENERALIZATIONS AND APPLICATIONS TO QUANTUM DYNAMICS
Autore:
OBATA N;
Indirizzi:
NAGOYA UNIV,GRAD SCH POLYMATH NAGOYA AICHI 46401 JAPAN
Titolo Testata:
Acta applicandae mathematicae
fascicolo: 1, volume: 47, anno: 1997,
pagine: 49 - 77
SICI:
0167-8019(1997)47:1<49:IKOOFS>2.0.ZU;2-3
Fonte:
ISI
Lingua:
ENG
Soggetto:
GAUSSIAN WHITE NOISE; STOCHASTIC CALCULUS; FUNCTIONALS; SYMBOLS;
Keywords:
WHITE NOISE DISTRIBUTION THEORY; FOCK SPACE; INTEGRAL KERNEL OPERATOR; QUANTUM STOCHASTIC INTEGRAL; QUANTUM LANGEVIN EQUATION;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Citazioni:
32
Recensione:
Indirizzi per estratti:
Citazione:
N. Obata, "INTEGRAL KERNEL OPERATORS ON FOCK SPACE - GENERALIZATIONS AND APPLICATIONS TO QUANTUM DYNAMICS", Acta applicandae mathematicae, 47(1), 1997, pp. 49-77

Abstract

A general theory of operators on Boson Pock space is discussed in terms of the white noise distribution theory on Gaussian space (white noise calculus). An integral kernel operator is generalized from two aspects: (i) The use of an operator-valued distribution as an integral kernel leads us to the Fubini type theorem which allows an iterated integration in an integral kernel operator. As an application a white noiseapproach to quantum stochastic integrals is discussed and a quantum Hitsuda-Skorokhod integral is introduced. (ii) The use of pointwise derivatives of annihilation and creation operators assures the partial integration in an integral kernel operator. In particular, the particle flux density becomes a distribution with values in continuous operators on white noise functions and yields a representation of a Lie algebra of vector fields by means of such operators.

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Documento generato il 25/11/20 alle ore 15:24:36