Spectral asymptotics of semiclassical unitary operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.01.015
Abstract: 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 semiclassical unitary operators. We prove, under minimal assumptions, that the semiclassical… read more here.
Keywords: unitary operators; semiclassical unitary; spectral asymptotics; asymptotics semiclassical ... See more keywords
On the spectral asymptotics for the buckling problem
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0069529
Abstract: Abstract. We provide a direct proof of Weyl’s law for the buckling eigenvalues of the biharmonic operator on a wide class of domains of R including bounded Lipschitz domains. The proof relies on asymptotically sharp… read more here.
Keywords: spectral asymptotics; buckling problem; asymptotics buckling;
On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class
Sign Up to like & getrecommendations! Published in 2018 at "Doklady Mathematics"
DOI: 10.1134/s1064562418050204
Abstract: Spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class are found. The results are used to find exact asymptotics of small ball probabilities in the Hilbert norm for finitedimensional perturbations of… read more here.
Keywords: finite dimensional; spectral asymptotics; dimensional perturbations; asymptotics family ... See more keywords
Spectral asymptotics on stationary space-times
Sign Up to like & getrecommendations! Published in 2020 at "Reviews in Mathematical Physics"
DOI: 10.1142/s0129055x20600077
Abstract: We review our recent relativistic generalization of the Gutzwiller–Duistermaat–Guillemin trace formula and Weyl law on globally hyperbolic stationary space-times with compact Cauchy hypersurfaces. ... read more here.
Keywords: stationary space; asymptotics stationary; space times; spectral asymptotics ... See more keywords