Results 21 to 30 of about 48,968 (172)
Spectral Asymptotics for the Semiclassical Dirichlet to Neumann Operator [PDF]
Journal of Spectral Theory, 2017 Let M be a compact Riemannian manifold with smooth boundary, and let R(\lambda) be the Dirichlet–to–Neumann operator at frequency
Hassell, Andrew, Ivrii, Victor
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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 Weakly Nonlinear Bloch Waves [PDF]
Journal of Statistical Physics, 2004 References added; more explanations; inaccuracy concerning the initial data ...
Carles, Rémi +2 more
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Spectral asymptotics via the semiclassical Birkhoff normal form [PDF]
, 2008 44 pages, 2 figuresInternational audienceThis 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
Charles, Laurent, Vu Ngoc, San
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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.
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Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical asymptotics.
Aleksandr L. Lisok +2 more
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Error of semiclassical eigenvalues in the semiclassical limit - an asymptotic analysis of the Sinai billiard [PDF]
Journal of Physics A: Mathematical and General, 1999 We estimate the error in the semiclassical trace formula for the Sinai billiard under the assumption that the largest source of error is due to Penumbra diffraction, that is diffraction effects for trajectories passing within a distance R O((kR)^(-2/3) to the disk and trajectories being scattered in very forward directions. Here k is the momentum and R
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Acta Polytechnica, 2014 This paper reports a study of the semiclassical asymptotic behavior of the eigenvalues of some nonself-adjoint operators that are important for applications. These operators are the Schrödinger operator with complex periodic potential and the operator of
Anna I. Esina, Andrei I. Shafarevich
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Large c Virasoro blocks from monodromy method beyond known limits
Journal of High Energy Physics, 2018 In this paper, we study large c Virasoro blocks by using the Zamolodchikov monodromy method beyond its known limits. We give an analytic proof of our recent conjecture [1, 2], which implied that the asymptotics of the large c conformal blocks can be ...
Yuya Kusuki
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On the asymptotic number of low-lying states in the two-dimensional confined Stark effect
Forum of Mathematics, SigmaWe investigate the Stark operator restricted to a bounded domain $\Omega \subset \mathbb {R}^2$ with Dirichlet boundary conditions. In the semiclassical limit, a three-term asymptotic expansion for its individual eigenvalues has been established ...
Larry Read
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