Weyl Symbol
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Integrals in the coherent state representation / Integrais de trajetoria na representação de estados coerentes
The overcompleteness of the coherent states basis gives rise to a multiplicity of representations of Feynman?s path integral. These different representations, although equivalent quantum mechanically, lead to different semiclassical limits. Baranger et al derived the semiclassical limit of two path integral forms suggested by Klauder and Skagerstam. Each of
Publicado em: 2008
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2. The classical and commutative limits of noncommutative quantum mechanics: a superstar * Wigner-Moyal equation
We are interested in the similarities and differences between the quantum-classical (Q-C) and the noncommutative-commutative (NC-Com) correspondences. As one useful platform to address this issue we derive the superstar Wigner-Moyal equation for noncommutative quantum mechanics (NCQM). A superstar *-product combines the usual phase space * star and the nonco
Brazilian Journal of Physics. Publicado em: 2005-06
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3. Generalizations of the classical Weyl and Colin de Verdière's formulas and the orbit method
The classical Weyl formula expresses the leading term of the asymptotics of the counting function N(λ, H) of the spectrum of a self-adjoint operator H in an invariant form: one can “hear” the volume of the subset of the cotangent bundle where the symbol of the operator H is less than λ. In particular, it is applicable to Schrödinger operators with ele
National Academy of Sciences.