Results 21 to 30 of about 8,950 (170)
Semiclassical asymptotics, gauge fields, and quantum chaos
Journal of Functional Analysis, 1989 A gauge field is given by a connection on a principal bundle P → M. We consider the semiclassical behavior of a family of Schrödinger operators associated with a gauge field, in the limit as . We relate the spectral theory of such operators to behavior of the Hamiltonian flow on the natural phase space associated to a gauge field, examining in ...
Schrader, Robert, Taylor, Michael E
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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
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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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Современная математика: Фундаментальные направления, 2022 We describe the semiclassical asymptotic behavior of the solution of the Cauchy problem for the Schrödinger equation with a delta potential localized on a surface of codimension 1.
A. I. Shafarevich, O. A. Shchegortsova
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Semiclassical Approach to the Nonlocal Kinetic Model of Metal Vapor Active Media
Mathematics, 2021 A semiclassical approach based on the WKB–Maslov method is developed for the kinetic ionization equation in dense plasma with approximations characteristic of metal vapor active media excited by a contracted discharge.
Alexander V. Shapovalov +1 more
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Semiclassical Estimates¶in Asymptotically Euclidean Scattering [PDF]
Communications in Mathematical Physics, 2000 11 pages, 4 figures, AMS ...
Vasy, András, Zworski, Maciej
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Semiclassical asymptotics for nonselfadjoint harmonic oscillators [PDF]
Pure and Applied Analysis, 2020 We consider nonselfadjoint perturbations of semiclassical harmonic oscillators. Under appropriate dynamical assumptions, we establish some spectral estimates such as upper bounds on the resolvent near the real axis when no geometric control condition is satisfied.
Arnaiz, Victor, Rivière, Gabriel
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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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Semiclassical asymptotics of nonlinear Fokker-Plank equation for distributions of asset returns [PDF]
Компьютерные исследования и моделирование, 2009 The semiclassical approximation method is applied for solution construction of the Fokker-Planck equation with quadratic nonlocal nonlinearity and various coefficients in models of asset returns estimation.
Andrey Yur'evich Trifonov +2 more
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Heat Kernels Estimates for Hermitian Line Bundles on Manifolds of Bounded Geometry
Mathematics, 2021 We consider a family of semiclassically scaled second-order elliptic differential operators on high tensor powers of a Hermitian line bundle (possibly, twisted by an auxiliary Hermitian vector bundle of arbitrary rank) on a Riemannian manifold of bounded
Yuri A. Kordyukov
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