Results 151 to 160 of about 48,968 (172)

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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Semiclassical asymptotics of perturbed cat maps

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1995
Abstract We derive an exact representation for trUn, 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 nth iterate of the classical transformation, the contribution of each one being given by an n-fold multiple integral.
Boasman, PA, Keating, JP
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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 asymptotics for the localised Feller-Courrège processes

Lecture Notes in Mathematics, 2000
exaly   +2 more sources

Semiclassical eigenvalue asymptotics for a Schrödinger operator with a degenerate potential

Asymptotic Analysis, 2000
We give the asymptotic behaviour, when $h$ tends to zero, of the number of eigenvalues less then a fixed energy $\lambda$ , of the Schrödinger operator ${\widehat{H}_h}=-h^2\Delta + f(x)g(y),\ (x,y)\in \mathbf{R}^d=\mathbf{R}^n\times \mathbf{R}^m$ . $f$ and $g$ are continuous and positive functions tending to infinity at infinity, $g(y)$ is homogeneous
Morame, Abderemane, Truc, Françoise
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Semiclassical asymptotics of the vector Sturm-Liouville problem

Russian Journal of Mathematical Physics, 2006
The paper deals with the matrix Sturm-Liouville problem on the whole line with a potential which is a smooth, self-adjoint matrix function, and with a small parameter at the derivatives. The goal is to study the asymptotics of eigenvalues and eigenfunctions in the case when the symbol of the problem has eigenvalues of variable multiplicity.
Kryvko, A., Kucherenko, V. V.
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Semiclassical bound states in an asymptotically free theory

Physical Review D, 1975
A semiclassical calculation of the particle spectrum in the Gross--Neveu model was carried out. It is a two-dimensional model with N species of fermions interacting through a symmetrical scalar-scalar interaction and is renormalizable, asymptotically free, and exhibits spontaneous symmetry breaking.
Roger F. Dashen, Brosl Hasslacher, André Neveu   +2 more
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Semiclassical stability of asymptotically locally flat spaces

Physical Review D, 1983
Constructing a partition function for Euclidean quantum gravity by using asymptotically locally flat instantons will result in an imaginary contribution to the partition function. A negative eigenmode for the differential operator giving a one-loop contribution to the partition function has been found for the Taub-bolt instanton.
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Scattering theory with semiclassical asymptotes

2021
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Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics

Mathematical Notes, 2020
V E Nazaikinskii
exaly