Canonical commutation relation
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1.1 This paper is a part of a much broader project which aims to establish, for a typical ’co-ordinate algebra’ A in the sense of… (More)
The Markov property of Gaussian states of CCR-algebras is studied. The detailed description is given by the representing block… (More)
Let (T, H) be a weak Weyl representation of the canonical commutation relation (CCR) with one degree of freedom. Namely T is a… (More)
The Schrr odinger-Weyl representation of the canonical commutation relation is cir-culary invariant in a sense. Here, as a… (More)
Given a Heisenberg algebra A of canonical commutation relations modelled over an infinitedimensional nuclear space, a Hopf… (More)
This paper presents some methods of representing canonical commutation relations in terms of hyper nite-dimensional matrices… (More)
We construct a new class of representations of the canonical commutation relations, which generalizes previously known classes… (More)
We study maps preserving the Heisenberg commutation relation ab − ba = 1. We find a one-parameter deformation of the standard… (More)
We give the first operator solution of the Schwinger model that obeys the canonical commutation relations in a covariant gauge.
Detereministic classical dynamics, reversible quantum dynamics in the Schrr odinger-Heinsenberg pictures and irreversible… (More)