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Canonical transformation

About: Canonical transformation is a research topic. Over the lifetime, 1854 publications have been published within this topic receiving 38019 citations.


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TL;DR: In this article, a nonlinear interaction between two electromagnetic field modes and a two-level atom is considered, and a new Hamiltonian model is introduced to represent such an interaction, where three coupling parameters are involved.
Abstract: In the present paper we consider a nonlinear interaction between two electromagnetic field modes and a two-level atom. A new Hamiltonian model is introduced to represent such an interaction, where three coupling parameters are involved. We assume that the two-level atom interacts with each mode separately as well as with the two modes nonlinearly. Thus degenerate and non-degenerate processes are considered. Using a suitable canonical transformation and integrability condition the system is reduced to a single mode case. The density matrix is calculated and used to study the photon distribution, the atomic occupation probabilities, the von Neumann entropy and the entropy squeezing.

9 citations

Journal ArticleDOI
TL;DR: In this paper, a quasi-Shanmugadhasan canonical transformation related to the existence of a Poincare group action is used to construct the Dirac observables in the stratum for relativistic free particles.
Abstract: The construction of the Dirac observables in the stratum for a system of N relativistic free particles is carried out on the basis of a quasi-Shanmugadhasan canonical transformation related to the existence of a Poincare group action. The explicit form of the Dirac observables is derived by exploiting an internal Euclidean group having the Poincare canonical spin as generator of rotations. This procedure provides the symplectic version of the conventional angular momentum composition.

9 citations

Journal ArticleDOI
TL;DR: In this paper, the concept of squeezed spin states has been applied to a spin system describing a magnetic system with S = 1 and the effective Schrodinger equation is obtained and the squeezed potential has been constructed for the model Hamiltonian.

9 citations

Journal ArticleDOI
TL;DR: A Backlund transformation for a generalised Calogero-Moser system, in which the particles posses extra, internal, degrees of freedom, is given in this paper, which is shown to be a canonical transformation and its generating function is given explicitly.

9 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20237
202218
202158
202042
201932
201829