13 citations · 36 across the 8 of their papers we have counts for
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math.SP2015★ 1 cited
Spectral asymptotics of semiclassical unitary operators
Yohann Le Floch, Alvaro Pelayo
This paper establishes an aspect of Bohr's correspondence principle, i.e. that quantum mechanics converges in the high frequency limit to classical mechanics, for commuting semicla…
math.SP2014
Inverse spectral theory for semiclassical Jaynes-Cummings systems
Yohann Le Floch, Álvaro Pelayo, San Vu Ngoc
Quantum semitoric systems form a large class of quantum Hamiltonian integrable systems with circular symmetry which has received great attention in the past decade. They include sy…
math.SP2013★ 5 cited
Singular Bohr-Sommerfeld conditions for 1D Toeplitz operators: hyperbolic case
Yohann Le Floch
In this article, we state the Bohr-Sommerfeld conditions around a singular value of hyperbolic type of the principal symbol of a self-adjoint semiclassical Toeplitz operator on a c…