We derive the exact action for a damped mechanical system (and the special case of the linear oscillator) from the path integral formulation of the quantum Brownian motion problem developed by Schwinger and by Feynman and Vernon. The doubling of the phasespace degrees of freedom for dissipative syst
Quantum Dissipation and Quantum Groups
β Scribed by A. Iorio; G. Vitiello
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 449 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0003-4916
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π SIMILAR VOLUMES
We construct a functor from a certain category of quantum semigroups to a Ε½ Ε½ .. category of quantum groups, which, for example, assigns Fun Mat N to q Ε½ Ε½ .. Ε½ . Fun GL N . Combining with a generalization of the Faddeevα q ReshetikhinαTakhtadzhyan construction, we obtain quantum groups with univers
Atomic Kinematics -- Atomic Dynamics -- Quantized Electromagnetic Field -- Field Dynamics -- The Jaynes-cummings Model -- Collective Interactions -- Atomic Systems In A Strong Quantum Field -- Quantum Systems Beyond The Rotating Wave Approximation -- Models With Dissipation -- Quasi-distributions In
## Abstract In this paper, we study a special class of compact quantum groups, namely, the profinite quantum groups.
Let G be any discrete group. Consider the algebra A of all complex functions with finite support on G with pointwise operations. The multiplication on G Ε½ .Ε½ . Ε½ . induces a comultiplication β¬ on A by β¬ f p, q sf pq whenever f g A and p, q g G. If G is finite, one can identify the algebra of complex
The construction of the Drinfeld double D H of a finite dimensional Hopf algebra H was one of the first examples of a quasitriangular Hopf algebra whose category of modules M M is braided. The braided category of YetterαDrinfeld DΕ½ H . modules Y Y D D H is the analogue for infinite dimensional Hopf