Keyword: Gross Derivative : Search

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Advanced Search

SEARCH GUIDE

Results: 1 - 1of1

Follow results:

per page:

Sort: Relevance

Context for search term 1Search term 1*

All Dates

LastSelect static range

Custom Range

Select starting monthSelect starting year

Select ending monthSelect ending year

Search name	Searched On	Run search
Keyword: Gross Derivative (1)	26 Mar 2025	Run
Keyword: Polymer Networks (1)	26 Mar 2025	Run
Keyword: Shape Invariance (20)	26 Mar 2025	Run
Keyword: Boston Route 128 (2)	26 Mar 2025	Run
Keyword: Business Success (6)	26 Mar 2025	Run

chapterNo Access
ADMISSIBLE WHITE NOISE OPERATORS AND THEIR QUANTUM WHITE NOISE DERIVATIVES
- UN CIG JI and
- NOBUAKI OBATA
Infinite Dimensional Harmonic Analysis III01 Nov 2005
Preview Abstract
An operator on a Fock space is considered as a non-linear and non-commutative function of annihilation and creation operators at points . The derivatives with respect to a_t and , called respectively the annihilation- and creation-derivatives, are formulated within the framework of quantum white noise theory. We prove the differentiability of an admissible white noise operator and give explicit formulae for the derivatives in terms of integral kernel operators. The qwn-derivative is a non-commutative counterpart of the Gross derivative in stochastic analysis.

1