Quantum Stochastic Generators

dc.creatorGough, John
dc.date2003-09-12
dc.date2005-11-06
dc.date.accessioned2026-07-07T06:36:28Z
dc.date.available2026-07-07T06:36:28Z
dc.descriptionWe discuss stochastic derivations, stochastic Hamiltonians and the flows that they generate, algebraic fluctuaion-dissipation theorems, etc., in a language common to both classical and quantum algebras. It is convenient to define distinct notions of time-ordered exponentials to take account of the breakdown of the Leibniz rule in the Ito calculus. We introduce a notion of quantum Stratonovich calculus and show how it relates to Stratonovich-Dyson time ordered exponentials. We then use it to demonstrate a natural way to add stochastic derivations.
dc.description18 pages, no figures, updated with discussion on various notions of time-ordered exponentials (Ito/Stratonovich/exponentiated)and their distinct role in quantum stochastic limits
dc.identifierhttps://arxiv.org/abs/quant-ph/0309102
dc.identifierhttp://arxiv.org/abs/quant-ph/0309102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100089
dc.subjectQuantum Physics
dc.titleQuantum Stochastic Generators
dc.typetext

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