Results 1 to 10 of about 498 (184)

Pseudospectra and eigenvalue asymptotics for disordered non-selfadjoint operators in the semiclassical limit [PDF]

Frontiers in Applied Mathematics and Statistics
The purpose of this note is to review certain recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operators subject to small random perturbations.
Vogel Martin
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Semiclassical Asymptotics of Eigenvalues for Dirac Operators with Magnetic Fields

Journal of Mathematical Analysis and Applications, 2001
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Suzuki, Naohiro
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Semiclassical asymptotics and entropy

Journal of Physics: Conference Series, 2023
Abstract We study the entanglement of quantum states associated with submanifolds of Kaehler manifolds. As a motivating example, we discuss the semiclassical asymptotics of entanglement entropy of pure states on the two dimensional sphere with the standard metric.
Barron, Tatyana, Saikia, Manimugdha
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Reduction, the trace formula, and semiclassical asymptotics. [PDF]

Proc Natl Acad Sci U S A, 1987
We state a theorem that relates the theory of dimensional reduction in Hamiltonian mechanics to the spectral properties of elliptic operators with symmetries on compact manifolds. As an application, we show that the spectrum of the Schrödinger operator, -[unk]hΔ + V , as [unk]h → 0, contains geometric information ...
Guillemin V, Uribe A.
europepmc   +5 more sources

Comparative asymptotics for discrete semiclassical orthogonal polynomials

Bulletin of Mathematical Sciences, 2023
We study the ratio [Formula: see text] asymptotically as [Formula: see text], where the polynomials [Formula: see text] are orthogonal with respect to a discrete linear functional and [Formula: see text] denote the falling factorial polynomials.
Diego Dominici
doaj   +2 more sources

Semiclassical Asymptotics of the Aharonov‐Bohm Interference Process [PDF]

Annalen Der Physik, 2017
AbstractWe systematically derive the semiclassical limit of a charged particle's motion in the presence of an infinitely long and infinitesimally thin solenoid carrying magnetic flux. Our limit establishes the connection of the particle's quantum mechanical canonical angular momentum to the latter's classical counterpart.
Clemens Gneiting
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Semiclassical asymptotics on covering manifolds and morse inequalities

Geometric and Functional Analysis, 1996
The paper contains a review of results which can be obtained by applying the Witten deformation method and general semi-classical asymptotics to the case of regular covering manifolds. The author formulates general semi-classical asymptotics and Morse type inequalities in a way which is more explicit, making use of the general notion of a model ...
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Spectral asymptotics of semiclassical unitary operators

Journal of Mathematical Analysis and Applications, 2019
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 limit of the convex hulls of the quantum spectrum of a collection of commuting ...
Yohann Le Floch, Alvaro Pelayo
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Résonances Semiclassiques Engendrées par des Croisements de Trajectoires Classiques

Comptes Rendus. Mathématique, 2021
We consider a $2\times 2$ system of one-dimensional semiclassical Schrödinger operators with small interactions with respect to the semiclassical parameter $h$.
Higuchi, Kenta
doaj   +1 more source

Semiclassical asymptotics for the Maxwell–Dirac system [PDF]

Journal of Mathematical Physics, 2003
We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order O(ε) is performed, where the small semiclassical parameter ε≪1 denotes the microscopic/macroscopic scale ratio.
Sparber, Christoph, Markowich, Peter
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