Stephane Ouvry - Academia.edu (original) (raw)

Papers by Stephane Ouvry

Research paper thumbnail of Persistent Current of Free Electrons in the Plane

Phys Rev Lett, Apr 25, 1994

Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement oper... more Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement operator is regularized by means of zeta function. Instead of piecewise constant persistent current of free electrons on the plane one has a current which varies linearly with the flux and is antisymmetric with regard to all time preserving values of alpha\alphaalpha including 1/21/21/2. Different self-adjoint extensions of the problem and role of the resonance are discussed.

Research paper thumbnail of Comment on "Relation between Persistent Currents and the Scattering Matrix

Physical Review Letters, 1995

Research paper thumbnail of Haldane's fractional statistics and the Riemann-Roch theorem

Research paper thumbnail of On the thermodynamics of multispecies anyons

Research paper thumbnail of Exact results for the spectra of bosons and fermions with contact interaction

Research paper thumbnail of Area Distribution of Two-Dimensional Random Walks on a Square Lattice

Journal of Statistical Physics, 2009

Research paper thumbnail of The statistical curse of the second half-rank

Journal of Statistical Mechanics: Theory and Experiment, 2011

Research paper thumbnail of The Lieb–Liniger model in the infinite coupling constant limit

Journal of Physics A: Mathematical and Theoretical, 2009

Research paper thumbnail of Projection on higher Landau levels and non-commutative geometry

Journal of Physics A: Mathematical and General, 2002

Research paper thumbnail of Persistent Current of Free Electrons in the Plane

Phys Rev Lett, Apr 25, 1994

Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement oper... more Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement operator is regularized by means of zeta function. Instead of piecewise constant persistent current of free electrons on the plane one has a current which varies linearly with the flux and is antisymmetric with regard to all time preserving values of alpha\alphaalpha including 1/21/21/2. Different self-adjoint extensions of the problem and role of the resonance are discussed.

Research paper thumbnail of Comment on "Relation between Persistent Currents and the Scattering Matrix

Physical Review Letters, 1995

Research paper thumbnail of Haldane's fractional statistics and the Riemann-Roch theorem

Research paper thumbnail of On the thermodynamics of multispecies anyons

Research paper thumbnail of Exact results for the spectra of bosons and fermions with contact interaction

Research paper thumbnail of Area Distribution of Two-Dimensional Random Walks on a Square Lattice

Journal of Statistical Physics, 2009

Research paper thumbnail of The statistical curse of the second half-rank

Journal of Statistical Mechanics: Theory and Experiment, 2011

Research paper thumbnail of The Lieb–Liniger model in the infinite coupling constant limit

Journal of Physics A: Mathematical and Theoretical, 2009

Research paper thumbnail of Projection on higher Landau levels and non-commutative geometry

Journal of Physics A: Mathematical and General, 2002