Results 111 to 120 of about 73,015 (248)

Exponential decay of two-body eigenfunctions: A review

Electronic Journal of Differential Equations, 2000
We review various results on the exponential decay of the eigenfunctions of two-body Schrödinger operators. The exponential, isotropic bound results of Slaggie and Wichmann for eigenfunctions of Schrödinger operators corresponding to eigenvalues below ...
Peter Hislop
doaj  

Numerical solution of the multi-order fractional differential equation using Legendre wavelets and eigenfunction approach

Partial Differential Equations in Applied Mathematics
An eigenfunction approach is implemented in this article to solve the multi-order fractional differential equations (FDEs) with boundary conditions. The approximate unknown solution is expressed as a linear combination of eigenfunctions in the present ...
Shivani Ranta, Sandipan Gupta, Dileep Kumar Sharma   +2 more
doaj   +1 more source

Energy spectrum and eigenfunctions through the Quantum Section Method [PDF]

, 2001
J. S. Espinoza Ortiz, R. Egydio de Carvalho   +1 more
openalex   +1 more source

A Relativistic Conical Function and its Whittaker Limits

Symmetry, Integrability and Geometry: Methods and Applications, 2011
In previous work we introduced and studied a function R(a+,a−,c;v,vˆ) that is a generalization of the hypergeometric function _2F_1 and the Askey-Wilson polynomials.
Simon Ruijsenaars
doaj   +1 more source

Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem [PDF]

, 2018
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Vincent Pagneux   +2 more
openalex   +1 more source

ON MAUTNER'S EIGENFUNCTION EXPANSION [PDF]

Proceedings of the National Academy of Sciences, 1956
Bade, William G., Schwartz, Jacob T.
openaire   +3 more sources

Eigenfunction asymptotics and spectral Rigidity of the ellipse [PDF]

, 2020
Hamid Hezari, Steve Zelditch
openalex   +1 more source

The nonlinear Schrödinger equation with forcing involving products of eigenfunctions [PDF]

, 2022
A. S. Fokas, A. Latifi
openalex   +1 more source

On Eigenfunction Expansions [PDF]

Proceedings of the National Academy of Sciences, 1953
openaire   +4 more sources

On eigenfunctions corresponding to first non-zero eigenvalue of the sphere $ S^n(c) $ on a Riemannian manifold

AIMS Mathematics
We recall classical themes such as 'on hearing the shape of a drum' or 'can one hear the shape of a drum?', and the discovery of Milnor, who constructed two flat tori which are isospectral but not isometric.
Sharief Deshmukh, Amira Ishan, Olga Belova   +2 more
doaj   +1 more source