Results 11 to 20 of about 8,899 (159)
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 $O(\sqrt{\epsilon})$ is performed, where the small semiclassical ...
Bechouche +20 more
core +5 more sources
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
Spectral asymptotics via the semiclassical Birkhoff normal form [PDF]
Duke Mathematical Journal, 2006 This article gives a simple treatment of the quantum Birkhoff normal form for semiclassical pseudo-differential operators with smooth coefficients. The normal form is applied to describe the discrete spectrum in a generalised non-degenerate potential ...
Charles, Laurent, Ngoc, San Vu
core +6 more sources
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
openaire +2 more sources
Strong Phase-Space Semiclassical Asymptotics [PDF]
SIAM Journal on Mathematical Analysis, 2011 Wigner and Husimi transforms have long been used for the phase-space reformulation of Schr dinger-type equations, and the study of the corresponding semiclassical limits. Most of the existing results provide approximations in appropriate weak topologies. In this work we are concerned with semiclassical limits in the strong topology, i.e. approximation
Athanassoulis, Agissilaos, Paul, Thierry
openaire +3 more sources
Semiclassical Estimates¶in Asymptotically Euclidean Scattering [PDF]
Communications in Mathematical Physics, 2000 11 pages, 4 figures, AMS ...
Vasy, András, Zworski, Maciej
openaire +3 more sources
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
openaire +4 more sources
GLOBAL FOURIER INTEGRAL OPERATORS AND SEMICLASSICAL ASYMPTOTICS [PDF]
Reviews in Mathematical Physics, 2000 In this paper we introduce a class of semiclassical Fourier integral operators with global complex phases approximating the fundamental solutions (propagators) for time-dependent Schrödinger equations. Our construction is elementary, it is inspired by the joint work of the first author with Yu. Safarov and D. Vasiliev.
Laptev, A., Sigal, I. M.
openaire +1 more source
Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves [PDF]
Journal of Statistical Physics, 2004 References added; more explanations; inaccuracy concerning the initial data ...
Carles, Rémi +2 more
openaire +4 more sources
Energy dependent Schrödinger operators and complex Hamiltonian systems on Riemann surfaces [PDF]
, 1997 We use so-called energy-dependent Schrödinger operators to establish a link between special classes of solutions on N-component systems of evolution equations and finite dimensional Hamiltonian systems on the moduli spaces of Riemann surfaces.
Alber, Mark S. +2 more
core +1 more source