Dissipative canonical flows in classical and quantum mechanics

John Gough*

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

3 Dyfyniadau(SciVal)

Crynodeb

A theory of stochastic flows over the algebra of observables of a dynamical system is presented in which the main objective is to ensure that the overall canonical/ symplectic structure on the algebra is preserved. We study both classical and quantum systems and the importance of physical interpretation in the Stratonovich interpretation is stressed. We find the natural formulation of quantum dissipative systems to be given in terms of quantum stochastic calculus. This treatment allows for a physically meaningful treatment of both constant and nonlinear dissipation. As an application, we quantize a mechanical system with the same nonlinear damping mechanism as the van der Pol oscillator.

Iaith wreiddiolSaesneg
Tudalennau (o-i)2805-2815
Nifer y tudalennau11
CyfnodolynJournal of Mathematical Physics
Cyfrol40
Rhif cyhoeddi6
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - Meh 1999
Cyhoeddwyd yn allanolIe

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