Results 31 to 40 of about 8,950 (170)
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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Bulletin of Mathematical Sciences, 2016 We discuss the asymptotics of the eigenvalue counting function for partial differential operators and related expressions paying the most attention to the sharp asymptotics.
Victor Ivrii
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The Einstein-Ehrenfest system of (0, M)-type and asymptotical solutions of the multidimensional nonlinear Fokker-Planck-Kolmogorov equation [PDF]
Компьютерные исследования и моделирование, 2010 Semiclassical approximation formalism is developed for the multidimensional Fokker-Planck-Kolmogorov equation with non-local and nonlinear drift vector with respect to a small diffusion coefficient D, D0, in the class of trajectory concentrated functions.
Roman Olegovich Rezaev +2 more
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Non-equilibrium quantum transport in presence of a defect: the non-interacting case
SciPost Physics, 2019 We study quantum transport after an inhomogeneous quantum quench in a free fermion lattice system in the presence of a localised defect. Using a new rigorous analytical approach for the calculation of large time and distance asymptotics of physical ...
Marko Ljubotina, Spyros Sotiriadis, Tomaž Prosen
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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
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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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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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Two-term spectral asymptotics for the Dirichlet Laplacian on a bounded domain [PDF]
, 2011 Let -\Delta denote the Dirichlet Laplace operator on a bounded open set in \mathbb{R}^d. We study the sum of the negative eigenvalues of the operator -h^2 \Delta - 1 in the semiclassical limit h \to 0+.
Frank, Rupert L., Geisinger, Leander
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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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Semiclassical asymptotic behavior of orthogonal polynomials [PDF]
Letters in Mathematical Physics, 2020 Our goal is to find asymptotic formulas for orthonormal polynomials $P_{n}(z)$ with the recurrence coefficients slowly stabilizing as $n\to\infty$. To that end, we develop spectral theory of Jacobi operators with long-range coefficients and study the corresponding second order difference equation. We suggest an Ansatz for its solutions playing the role
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