715 citations
- Centre National de la Recherche ScientifiqueFR215 papers
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- Aix-Marseille UniversitéFR79 papers
- Université de ToulonFR76 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR22 papers
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14 papers · 2 filters
Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip
Philippe Briet, Georgi Raikov, Eric Soccorsi
We consider a 2D Schroedinger operator H0 with constant magnetic field, on a strip of finite width. The spectrum of H0 is absolutely continuous, and contains a discrete set of thre…
Erratum: Propagation Effects on the Breakdown of a Linear Amplifier Model: Complex-Mass Schrodinger Equation Driven by the Square of a Gaussian Field
Philippe Mounaix, Pierre Collet, Joel L. Lebowitz
The proof of the inequality [p 750, below Eq. (29)] is based on the statement that is an entire function of $s\in {\mathbb C}…
On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum
Pierre Duclos, Ondra Lev, Pavel Stovicek
We consider quantum Hamiltonians of the form H(t)=H+V(t) where the spectrum of H is semibounded and discrete, and the eigenvalues behave as E_n~n^α, with 0<α<1. In particular, the…
On the stability of periodically time-dependent quantum systems
Pierre Duclos, Eric Soccorsi, Pavel Stovicek +1
The main motivation of this article is to derive sufficient conditions for dynamical stability of periodically driven quantum systems described by a Hamiltonian H(t), i.e., conditi…
On the projective geometry of the supercircle: a unified construction of the super cross-ratio and Schwarzian derivative
Jean-Philippe Michel, Christian Duval
We consider the standard contact structure on the supercircle, S^{1|1}, and the supergroups E(1|1), Aff(1|1) and SpO(2|1) of contactomorphisms, defining the Euclidean, affine and p…
From conformal embeddings to quantum symmetries: an exceptional SU(4) example
Robert Coquereaux, Gil Schieber
We briefly discuss several algebraic tools that are used to describe the quantum symmetries of Boundary Conformal Field Theories on a torus. The starting point is a fusion category…