36 citations
- Institut Camille JordanFR17 papers
- Centre National de la Recherche ScientifiqueFR11 papers
- Bouygues (France)FR4 papers
- Lyon CollegeUS4 papers
- Nankai UniversityCN4 papers
- Centre de Recherche Astrophysique de LyonFR3 papers
- Institute of Nuclear Physics of LyonFR2 papers
- Observatoire de LyonFR2 papers
- Tottori UniversityJP2 papers
- Université Grenoble AlpesFR2 papers
- Université Paris CitéFR2 papers
- Université Paris-SudFR2 papers
5 papers · 1 filter
A topological version of Levinson's theorem
Johannes Kellendonk, Serge Richard
In the framework of scattering theory, we show how the scattering matrix can be related to the projection on the bound states by an index map of K-theory. Pairings with appropriate…
The quantum fidelity for the time-dependent singular quantum oscillator
M. Combescure
In this paper we perform an exact study of ``Quantum Fidelity'' (also called Loschmidt Echo) for the time-periodic quantum Harmonic Oscillator of Hamiltonian : $$ \hat H\_{g}(t):=\…
Weak Coupling and Continuous Limits for Repeated Quantum Interactions
Stephane Attal, Alain Joye
We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature . The time evolut…
From repeated to continuous quantum interactions
S. Attal, Y. Pautrat
We consider the general physical situation of a quantum system $\H_0$ interacting with a chain of exterior systems $\bigotimes_\N \H$, one after the other, during a small interval…
Fractional supersymmetric Quantum Mechanics as a set of replicas of ordinary supersymmetric Quantum Mechanics
M. Daoud, M. Kibler
A connection between fractional supersymmetric quantum mechanics and ordinary supersymmetric quantum mechanics is established in this Letter.