QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS ASSOCIATED with SQUARE of ANNIHILATION and CREATION PROCESSES

Ji, UC and Sinha, KB (2017) QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS ASSOCIATED with SQUARE of ANNIHILATION and CREATION PROCESSES. In: Lecture Notes Series, Institute for Mathematical Sciences, 34 (34). pp. 137-158.

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Abstract

We develop the quantum stochastic calculus associated with the square of annihilation and creation processes. We study the quantum stochastic integral and quantum stochastic differential equation associated with the square of annihilation and creation processes. Under a sufficient condition the solution of the quantum stochastic differential equation becomes unitary and then the unitary solution gives a unitary dilation of an evolution system of which the Hamiltonian is depending on time.

Item Type:	Editorials/Short Communications
Publication:	Lecture Notes Series, Institute for Mathematical Sciences
Series.:	Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore: Volume 34
Publisher:	World Scientific Publishing Co. Pte Ltd
Additional Information:	The copyright for this article belongs to the World Scientific Publishing Co. Pte. Ltd.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	03 Aug 2022 09:17
Last Modified:	10 Aug 2022 11:53
URI:	https://eprints.iisc.ac.in/id/eprint/75255

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