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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 2:34 |
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Conference: Bucharest University Faculty of Physics 2013 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Classical approximation for quantum systems and Dirac brackets
Authors:
Remus Amilcar Ionescu
Affiliation:
"Horia Hulubei" National Institute of Physics and Nuclear Engineering, 077125 Magurele, Romania
E-mail
remus@nipne.ro
Keywords:
Variational principle, coherent states, Poisson structure, bosonic systems
Abstract:
The time-dependent Schrodinger equation could be derived starting from the Dirac-Frenkel variational principle for the Dirac action. Restricting the variational space one can obtain different classical approximations and we discuss in detail the one-dimensional quantum problem (one bosonic degree of freedom) going beyond the coherent state approximation. We construct explicitly the non-canonical Poisson structure in the 4-dimensional phase space of squeezed coherent states and we will comment on the possibilities to use it to describe bosonic systems with an infinite number of degrees of freedom.
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