14,408 research outputs found
Spin Calogero-Moser systems associated with simple Lie algebras
We introduce spin Calogero-Moser systems associated with root systems of
simple Lie algebras and give the associated Lax representations (with spectral
parameter) and fundamental Poisson bracket relations. Our analysis is based on
a group-theoretic framework similar in spirit to the standard classical
-matrix theory for constant -matrices.Comment: 6 page
Integrable spin Calogero-Moser systems
We introduce spin Calogero-Moser systems associated with root systems of
simple Lie algebras and give the associated Lax representations (with spectral
parameter) and fundamental Poisson bracket relations. The associated integrable
models (called integrable spin Calogero-Moser systems in the paper) and their
Lax pairs are then obtained via Poisson reduction and gauge transformations.
For Lie algebras of -type, this new class of integrable systems includes
the usual Calogero-Moser systems as subsystems. Our method is guided by a
general framework which we develop here using dynamical Lie algebroids.Comment: 30 pages, Latex fil
Kinetics and thermodynamics of electron transfer in Debye solvents: An analytical and nonperturbative reduced density matrix theory
A nonperturbative electron transfer rate theory is developed based on the
reduced density matrix dynamics, which can be evaluated readily for the Debye
solvent model without further approximation. Not only does it recover for
reaction rates the celebrated Marcus' inversion and Kramers' turnover
behaviors, the present theory also predicts for reaction thermodynamics, such
as equilibrium Gibbs free-energy and entropy, some interesting
solvent-dependent features that are calling for experimental verification.
Moreover, a continued fraction Green's function formalism is also constructed,
which can be used together with Dyson equation technique, for efficient
evaluation of nonperturbative reduced density matrix dynamics.Comment: 8 pages, 5 figures. J. Phys. Chem. B, accepte
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