Sergi, Alessandro (2005) Statistical Mechanics of Quantum-Classical Systems with Holonomic Constraints. Journal of Chemical Physics. (Submitted)
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The statistical mechanics of quantum-classical systems
with holonomic constraints
is formulated rigorously by unifying the classical Dirac bracket and the
quantum-classical bracket in matrix form.
The resulting Dirac quantum-classical
theory, which conserves the holonomic constraints exactly, is then used
to formulate time evolution and statistical mechanics.
The correct momentum-jump approximation for constrained system arises
naturally from this formalism.
Finally, in analogy with what was found in the classical case, it
is shown that the rigorous linear
response function of constrained quantum-classical systems
contains non-trivial additional terms which are absent
in the response of unconstrained systems.
|Additional Information:||Submitted to Journal of Chemical Physics|
|Subjects:||M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche|
M.U.S. - Contributi Scientifici > 02 - Scienze fisiche
|Depositing User:||Dr Alessandro Sergi|
|Date Deposited:||23 Nov 2005|
|Last Modified:||13 Apr 2010 13:19|
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