Quantum stochastic processes with independent additive increments

Michael Schürmann

Journal of Multivariate Analysis, 1991, vol. 38, issue 1, 15-35

Abstract: We give a complete characterization of a class of quantum stochastic processes with independent, stationary increments. We prove that processes of the class are, up to a canonical equivalence, equal to a sum of creation, second quantization, annihilation, and scalar processes on a Bose/Fermi Fock space, showing that, with our notion of independence, there are no other "white noises" but those used in the quantum stochastic calculus of R. L. Hudson and K. R. Parthasarathy.

Keywords: quantum; stochastic; processes; stochastic; processes; with; independent; increments; quantum; stochastic; calculus (search for similar items in EconPapers)
Date: 1991
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0047-259X(91)90029-2
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:38:y:1991:i:1:p:15-35

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Journal of Multivariate Analysis is currently edited by de Leeuw, J.

More articles in Journal of Multivariate Analysis from Elsevier
Bibliographic data for series maintained by Catherine Liu ().