Results 81 to 90 of about 8,899 (159)
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
openaire +2 more sources
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.
openaire +3 more sources
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 ...
openaire +2 more sources
Semiclassical asymptotics on covering manifolds and morse inequalities
Geometric and Functional Analysis, 1996 The paper contains a review of results which can be obtained by applying the Witten deformation method and general semi-classical asymptotics to the case of regular covering manifolds. The author formulates general semi-classical asymptotics and Morse type inequalities in a way which is more explicit, making use of the general notion of a model ...
openaire +1 more source
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
openaire +2 more sources
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 ...
openaire +2 more sources
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.
europepmc +1 more source
Differences Between Robin and Neumann Eigenvalues. [PDF]
Commun Math Phys, 2021 Rudnick Z, Wigman I, Yesha N.
europepmc +1 more source
Asymptotics of type I Hermite-Pad�� polynomials for semiclassical functions
, 2015 40 pages, 1 figure.
Martínez Finkelshtein, Andrei +2 more
openaire +3 more sources