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: The carbon dioxide Raman spectrum is simulated within an algebraic approach based on curvilinear coordinates in a local representation, obtaining results close to experimental accuracy and providing six new CO2 experimental vibrational terms.
Abstract: The carbon dioxide Raman spectrum is simulated within an algebraic approach based on curvilinear coordinates in a local representation. The two main advantages of the present algebraic approach are a possible connection with configuration space and the correct description of systems with either local or normal mode character. The system Hamiltonian and polarizability tensor are expanded in terms of curvilinear coordinates. The curvilinear coordinates are in turn expanded into normal coordinates, obtaining an algebraic representation in terms of normal bosonic operators. A canonical transformation maps the operators into a local algebraic representation. The final step is an anharmonization procedure to local operators. The Raman spectrum of CO2 has been simulated, obtaining results close to experimental accuracy, and polarizability transition moments for the Raman spectral lines between 1150 cm−1 and 1500 cm−1 are reported. The comparison between experimental and simulated spectra has provided six new CO2 experimental vibrational terms.
31 citations
TL;DR: It is shown that-using the same approach-no symbolical results can be derived for the order-4 PH distributions, thus probably the PH(3) class is the highest order PH class for which a symbolical canonical transformation exists.
31 citations
TL;DR: In this article, it was shown that a first-class constraint typically does not alone generate a gauge transformation, but a special combination of the two firstclass constraints, the Anderson-Bergmann (1951)-Castellani gauge generator G, leaves E unchanged.
31 citations
TL;DR: A complete exposition of the rest-frame instant form of dynamics for arbitrary isolated systems (particles, fields, strings, fluids) admitting a Lagrangian description is given in this paper.
Abstract: A complete exposition of the rest-frame instant form of dynamics for arbitrary isolated systems (particles, fields, strings, fluids) admitting a Lagrangian description is given. The starting point ...
31 citations
TL;DR: The theory of Hamiltonian systems with first-class constraints has been studied in this article, where it is possible to separate the physical part from the gauge part by transforming to canonical coordinates in which the constraints are a subset of the new momenta; this construction is accomplished by algebraic methods and the use of a set of Hamilton-Jacobi-like equations.
Abstract: Some new results are presented on the theory of Hamiltonian systems with first‐class constraints. In these systems it is possible to separate the physical part from the gauge part by transforming to canonical coordinates in which the constraints are a subset of the new momenta; this construction is accomplished by algebraic methods and the use of a set of Hamilton–Jacobi‐like equations. Finally, the problem and meaning of evolution in systems with weakly vanishing Hamiltonian is commented on.
31 citations