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7 papers · 2 filters
Energy conservation, counting statistics, and return to equilibrium
Vojkan Jaksic, Jane Panangaden, Annalisa Panati +1
We study a microscopic Hamiltonian model describing an N-level quantum system S coupled to an infinitely extended thermal reservoir R. Initially, the system S is in an arbitrary st…
Scattering through a straight quantum waveguide with combined boundary conditions
Ph. Briet, J. Dittrich, E. Soccorsi
Scattering through a straight two-dimensional quantum waveguide Rx(0,d) with Dirichlet boundary conditions on (-\infty,0)x{y=0} \cup (0,\infty)x{y=d} and Neumann boundary condition…
A note on the Landauer principle in quantum statistical mechanics
Vojkan Jaksic, Claude-Alain Pillet
The Landauer principle asserts that the energy cost of erasure of one bit of information by the action of a thermal reservoir in equilibrium at temperature T is never less than $kT…
Conjugation properties of tensor product multiplicities
Robert Coquereaux, Jean-Bernard Zuber
It was recently proven that the total multiplicity in the decomposition into irreducibles of the tensor product lambda x mu of two irreducible representations of a simple Lie algeb…
Gauge field theories: various mathematical approaches
François Jordan, Lazzarini Serge, Masson Thierry
This paper presents relevant modern mathematical formulations for (classical) gauge field theories, namely, ordinary differential geometry, noncommutative geometry, and transitive…
Zoll and Tannery metrics from a superintegrable geodesic flow
Galliano Valent
We prove that for Matveev and Shevchishin superintegrable system, with a linear and a cubic integral, the metrics defined on S^2 and on Tannery's orbifold T^2 are either Zoll or Ta…