Topic
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 canonical transformation of operators of relativistic phase space is constructed, which abelizes the basis of the operator-valued gauge algebra of first class constraints, and the new operators of contraints commute among themselves.
Abstract: A canonical transformation of operators of relativistic phase space is constructed, which abelizes the basis of the operator‐valued gauge algebra of first class constraints. The new operators of contraints commute among themselves. The new Hamiltonian commutes with the constraints. Dynamics of the new operators is physically equivalent to the initial one.
44 citations
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TL;DR: In this paper, the uncertainty principle bounds for the linear canonical transform (LCT) of a complex signal were derived and the derived bounds were related with the phase and the amplitude of the complex signal.
Abstract: This correspondence derives the uncertainty principle bounds for the linear canonical transform (LCT) of a complex signal. The derived bounds are sharper than that of the published papers and they are related with the phase and the amplitude of the complex signal. An example is given to verify the result.
44 citations
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TL;DR: In this article, an extended Holstein model incorporating simultaneous diagonal and off-diagonal exciton-phonon-coupled coupling was proposed, where the Hamiltonian is partially diagonalized by a canonical transformation, and optimal transformation coefficients are determined in a self-consistent manner.
Abstract: Improved results using a method similar to the Munn-Silbey approach have been obtained on the temperature dependence of transport properties of an extended Holstein model incorporating simultaneous diagonal and off-diagonal exciton-phonon coupling The Hamiltonian is partially diagonalized by a canonical transformation, and optimal transformation coefficients are determined in a self-consistent manner Calculated transport properties exhibit substantial corrections on those obtained previously by Munn and Silbey for a wide range of temperatures thanks to a numerically exact evaluation and an added momentum-dependence of the transformation matrix Results on the diffusion coefficient in the moderate and weak coupling regime show distinct band-like and hopping-like transport features as a function of temperature
44 citations
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TL;DR: In this paper, a canonical transformation which gives the relation between two solutions of an exponential lattice is presented, and a new solution can be obtained from a known solution using this relation.
Abstract: A canonical transformation which gives the relation between two solutions of an exponential lattice is presented. Using this relation a new solution can be obtained from a known solution. It is thus a discrete version of the Backlund transformation.
44 citations
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TL;DR: In this paper, an extensive analysis of the Dirac problem of canonical quantization is reported, in terms of derivation algebras pertaining to the classical and quantum Lie brackets.
Abstract: An extensive analysis of the Dirac problem of canonical quantisation is reported. In this a known solution [1] has been found to be unique to within a canonical transformation under a certain prescribed condition. This proves a conjecture due to Streater [2]. A further canonically inequivalent solution is obtained by relaxing this condition. The results obtained are discussed in terms of the derivation algebras pertaining to the Classical and Quantum Lie brackets. Applications to the study of higher symmetries and to realisations of Lie algebras as polynomial functions of canonical operators are pointed out.
44 citations