Results 141 to 150 of about 8,899 (159)

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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On Semiclassical Asymptotics for Nonlocal Equations

Russian Journal of Mathematical Physics, 2022
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Savin A.Yu., Nazaikinskii V.E.
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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 Coulomb differential excitation function: Asymptotic expansions

Journal of Mathematical Physics, 2001
We have obtained asymptotic expansions of the electric dipole (E1) differential excitation function for large values of the adiabaticity parameter ξ and for all values of the eccentricity (ε) of the projectile orbit. To accomplish this, we have developed a new asymptotic power series of exponential integrals related to the Airy integrals, introduced ...
Thorsley, Michael D., Chidichimo, Marita C.   +1 more
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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 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 ...
Belov, V. V., Maslov, V. P., Shvedov, O. Yu.   +2 more
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Semiclassical asymptotics of perturbed cat maps

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1995
We derive an exact representation for tr U n , where U is the quantum propagator associated with an Anosov-perturbed cat map. This takes the form of a sum over the fixed points of the n th iterate of the classical transformation, the contribution of each ...
Boasman, PA, Keating, JP
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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 Asymptotics on Stratified Manifolds

Russian Journal of Mathematical Physics
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Semiclassical Asymptotics of Eigenfunctions

1999
One of the most important problems of mathematical physics is the study of the spectrum of self-adjoint operators associated with differential equations and boundary value problems for them. The spectrum in such problems, depending on the configuration of the domain in which the equation is considered and on the properties of the coefficients of the ...
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