Results 141 to 150 of about 48,968 (172)

Lattice Equations and Semiclassical Asymptotics

Russian Journal of Mathematical Physics, 2023
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Chernyshev, V. L., Nazaikinskii, V. E., Tsvetkova, A. V.   +2 more
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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 ...
M A Shubin
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Semiclassical asymptotics of a model problem

Mathematical Notes, 1993
The theory of semi-classical approximation, of differential operators in the last two decades has tackled using heavy geometrical theory. However, a good deal of detailed information has been available classically in low dimensional cases. Here, the authors discuss the semi-classical asymptotics of a differential operator \(H\) associated to the ...
O Yu Shvedov
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Semiclassical asymptotics of quantum stochastic equations

Theoretical and Mathematical Physics(Russian Federation), 1991
V P Belavkin
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Semiclassical asymptotics in magnetic Bloch bands

Journal of Physics A: Mathematical and General, 2002
Summary: This paper gives a simple construction of wave packets localized near semiclassical trajectories for an electron subject to external electric and magnetic fields. We assume that the magnetic and electric potentials are slowly varying perturbations of the potential of a constant magnetic field and a periodic lattice potential, respectively.
Dimassi, M., Guillot, J. C., Ralston, J.
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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.
Fischer, Stefan Georg, Gneiting, Clemens, Buchleitner, Andreas   +2 more
exaly   +5 more sources

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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Semiclassical asymptotics of the Matrix Sturm-Liouville problem

Mathematical Notes, 2006
The authors consider the matrix Sturm-Liouville problem \[ (-ih\,d/dx)^2 y+A(x)y=Ey, \] where \(h\in[0,1)\) is a small parameter. They prove a new quantization condition for certain curves in the phase plane which intersect.
Krivko, A. V., Kucherenko, V. V.
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Semiclassical Spectral Asymptotics on Foliated Manifolds

Mathematische Nachrichten, 2002
The author considers a (hypo)elliptic pseudodifferential operator \(A_h\) on a closed foliated manifold \((M,{\mathcal F})\), depending on a parameter \(h> 0\), of the form \(A_h= A+ h^mB\), where \(A\) is a formally selfadjoint tangentially elliptic operator of order \(\mu> 0\) with the nonnegative principal symbol and \(B\) is a formally selfadjoint ...
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Semiclassical Asymptotics on Stratified Manifolds

Russian Journal of Mathematical Physics
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