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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 paper, a canonical transformation technique through which new independent traits are introduced is presented and it is shown that the number of independent transformed traits is reduced by thenumber of restrictions imposed.
Abstract: neous equations if there are many traits and a large number of animals to be evaluated. In this paper, a canonical transformation technique through which new independent traits are introduced is presented. Thus only equations of relatively low order for each transformed trait have to be solved. Furthermore, it is shown that the number of independent transformed traits is reduced by the number of restrictions imposed. The technique is applicable when a multiple-trait animal model is assumed.

11 citations

Journal ArticleDOI
01 Sep 1995
TL;DR: In this article, it was shown that both the minimal coupling and the multipolar Hamiltonians are two forms of the same Hamiltonian corresponding to two choices of gauge: div A = 0 and r · A( r ) = 0 respectively.
Abstract: The multipolar Hamiltonian has many advantages for describing the electrodynamics of nonrelativistic material systems. Usually it is derived by performing a canonical transformation on the minimal coupling Hamiltonian. We show that both the minimal coupling and the multipolar Hamiltonians are two forms of the same Hamiltonian corresponding to two choices of gauge: div A = 0 and r · A( r ) = 0 respectively. We further discuss the use of the multipolar Hamiltonian in electronically extended systems.

11 citations

Journal ArticleDOI
TL;DR: The irreducible representations of the symmetry group are computed, a necessary step for any consistent mean-field analysis of the Hubbard model.
Abstract: Recently an exact SU(2)⊗SU(2) symmetry for the half-filled Hubbard model has been elucidated but has not yet been properly incorporated in many analyses of this model We compute the irreducible representations of the symmetry group, a necessary step for any consistent mean-field analysis A proper mean-field theory valid for both negative- and positive-U Hubbard models is then presented

11 citations

Journal ArticleDOI
TL;DR: In this paper, different forms of the Hamiltonian formulations of linearized General Relativity/spin-two theories are discussed in order to show their similarities and differences, and it is demonstrated that non-covariant modifications to the initial covariant Lagrangian (similar to those modifications used in full gravity) are in fact unnecessary.
Abstract: The different forms of the Hamiltonian formulations of linearized General Relativity/spin-two theories are discussed in order to show their similarities and differences. It is demonstrated that in the linear model, non-covariant modifications to the initial covariant Lagrangian (similar to those modifications used in full gravity) are in fact unnecessary. The Hamiltonians and the constraints are different in these two formulations but the structure of the constraint algebra and the gauge invariance derived from it are the same. It is shown that these equivalent Hamiltonian formulations are related to each other by a canonical transformation which is explicitly given. The relevance of these results to the full theory of General Relativity is briefly discussed.

11 citations

Journal ArticleDOI
TL;DR: In this article, the effects of coupling to a harmonic oscillator on the quantum tunneling of a macroscopic motion are studied through the influence functional formalism of Feynman's path integral method for the general coupling form factor.
Abstract: The effects of coupling to a harmonic oscillator on the quantum tunneling of a macroscopic motion are studied through the influence functional formalism of Feynman's path integral method for the general coupling form factor. As an example, we consider the model in which the potential barrier is parabolic and the coupling Hamiltonian is linear in both coordinates of the macroscopic motion and of the intrinsic harmonic oscillator. The results are then compared with the exact solution obtained through the canonical transformation into normal coordinates in the limiting cases when the normal coordinates reduce to the original coordinates. We found that: (1) In the adiabatic case, i.e., when the recurrence time ..pi../..omega.. of the oscillator is much shorter than the transmission time through the macroscopic potential barrier, the effect of oscillator coupling can be well represented by an effective potential. The coupling enhances the tunneling probability on the whole. (2) There exists a critical energy, above which the tunneling probability is reduced because of the linear oscillator coupling. In the weak coupling limit and when ..omega -->..0, the critical energy becomes -infinity, so that the coupling to the oscillator always reduces the tunneling probability.

11 citations


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