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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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Journal ArticleDOI
TL;DR: In this article, a canonical transformation identical with that of Bogoljubov and Valatin is performed; and a perturbation expansion of the ground state energy is made by taking, as the unperturbed Hamiltonian, the term describing free quasi particles.
Abstract: A canonical transformation, identical with that of Bogoljubov and Valatin, is performed; and a perturbation expansion of the ground state energy is made by taking, as the unperturbed Hamiltonian, the term describing free « quasi particles ». The perturbation is written in normal form: it follows that the canonical transformation cancels, to all orders, diagrams containing lines with the two end points at the same vertex. A simple discussion of the ground state energy is given in the case considered by the theory of Bardeen, Cooper and Schrieffer.

5 citations

Journal ArticleDOI
TL;DR: In this paper, the authors apply ideas from the theory of multisymplectic systems, introduced recently in integrable systems by the author and Kundu to discuss Liouville integrability in classical field theories with a defect, to the sine-Gordon model.
Abstract: Ideas from the theory of multisymplectic systems, introduced recently in integrable systems by the author and Kundu to discuss Liouville integrability in classical field theories with a defect, are applied to the sine-Gordon model. The key ingredient is the introduction of a second Poisson bracket in the theory that allows for a Hamiltonian description of the model that is completely equivalent to the standard one, in the absence of a defect. In the presence of a defect described by frozen Backlund transformations, our approach based on the new bracket unifies the various tools used so far to attack the problem. It also gets rid of the known issues related to the evaluation of the Poisson brackets of the defect matrix which involve fields at coinciding space point (the location of the defect). The original Lagrangian approach also finds a nice reinterpretation in terms of the canonical transformation representing the defect conditions.

5 citations

Proceedings ArticleDOI
01 Jan 2003
TL;DR: In this article, the inverse problem for periodic sl(2) lattices is considered as a canonical transformation from the separation to local variables, and a new concept of a factorized separation chain is introduced allowing to solve it explicitly.
Abstract: We consider the inverse problem for periodic sl(2) lattices as a canonical transformation from the separation to local variables. A new concept of a factorized separation chain is introduced allowing to solve the inverse problem explicitly. The method is applied to an arbitrary representation of the corresponding Sklyanin algebra.

5 citations

Journal ArticleDOI
TL;DR: In this paper, a practical method for the calculation of canonical exponential transformations in closed analytic forms is presented, and an application to an antiresonant electron-phonon system is given.
Abstract: A practical method for the calculation of canonical exponential transformations in closed analytic forms is presented. An application to an antiresonant electron-phonon system is given. In particular the optical zero phonon line is calculated, which reflects the resonant nature of the system

5 citations


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