Results 91 to 100 of about 8,950 (170)
Symmetry, Integrability and Geometry: Methods and Applications, 2005 The complex WKB-Maslov method is used to consider an approach to the semiclassical integrability of the multidimensional Gross-Pitaevskii equation with an external field and nonlocal nonlinearity previously developed by the authors.
Alexander Shapovalov +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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Comparative asymptotics for discrete semiclassical orthogonal polynomials
, 2022 We study the ratio $frac{P_{n}left( x;zright) }{phi_{n}left( xright)}$ asymptotically as $nrightarrowinfty,$ where the polynomials $P_{n}left(x;zright) $ are orthogonal with respect to a discrete linear functional and $phi_{n}left( xright) $ denote the falling factorial polynomials.
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Nonlinear Fokker-Planck Equation in the Model of Asset Returns
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The Fokker-Planck equation with diffusion coefficient quadratic in space variable, linear drift coefficient, and nonlocal nonlinearity term is considered in the framework of a model of analysis of asset returns at financial markets.
Alexander Shapovalov +2 more
doaj
Semiclassical Asymptotic Expansions for Functions of the Bochner–Schrödinger Operator
Russian Journal of Mathematical Physics, 2023 24 pages, v2: a result on asymptotic localization of eigenfunctions is ...
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Semiclassical asymptotics of quantum weighted Hurwitz numbers
, 2016 This work concerns the semiclassical asymptotics of quantum weighted double Hurwitz numbers. We compute the leading term of the partition function for three versions of the quantum weighted Hurwitz numbers, as well as lower order semiclassical corrections.
Harnad, J., Ortmann, Janosch
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Full semiclassical asymptotics near transition points
Pure and Applied AnalysisWe construct complete asymptotic expansions of solutions of the 1D semiclassical Schrödinger equation near transition points. There are three main novelties: (1) transition points of order $κ\geq 2$ (i.e.\ trapped points -- the simple turning point is $κ=1$, the simple pole is $κ=-1$) are handled, (2) various terms in the operator are allowed to have ...
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On the Spectral Form Factor for Random Matrices. [PDF]
Commun Math Phys, 2023 Cipolloni G, Erdős L, Schröder D.
europepmc +1 more source
Unitarity and Page Curve for Evaporation of 2D AdS Black Holes. [PDF]
Entropy (Basel), 2022 Cadoni M, Sanna AP.
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The information geometry of two-field functional integrals. [PDF]
Inf Geom, 2022 Smith E.
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