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6 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…
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…
Explicit metrics for a class of two-dimensional superintegrable systems
Galliano Valent, Christian Duval, Vsevolod Shevchishin
We obtain, in local coordinates, the explicit form of the two-dimensional, super-integrable systems of Matveev and Shevchishin involving cubic integrals. This enables us to determi…