Results 21 to 30 of about 112,931 (232)

Concentration of symmetric eigenfunctions [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2010
8 ...
Azagra, Daniel, Macia Lang, Fabricio
openaire   +4 more sources

Variational characterizations for eigenfunctions of analytic self-adjoint operator functions [PDF]

open access: yesOpuscula Mathematica, 2013
In this paper we consider Rellich's diagonalization theorem for analytic self-adjoint operator functions and investigate variational principles for their eigenfunctions and interlacing statements.
Georgios Katsouleas, John Maroulas
doaj   +1 more source

Semi-classical calculations of energy levels and wave functions of hamiltonian systems with one and several degrees of freedom based on the method of classical and quantum normal forms

open access: yesФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2023
The paper presents two schemes for the sequential construction of the classical normal form and its quantum analogue for some classes of classical Hamiltonian systems.
I.N. Belyaeva   +3 more
doaj   +1 more source

Zeros of eigenfunctions of some anharmonic oscillators [PDF]

open access: yes, 2006
We study eigenfunctions of Schrodinger operators -y"+Py on the real line with zero boundary conditions, whose potentials P are real even polynomials with positive leading coefficients.
Eremenko, Alexandre   +2 more
core   +8 more sources

The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions

open access: yesCumhuriyet Science Journal, 2019
In this study, we examined the formula of the regularizedtrace of the self-adjoint operator which is formed bydifferentialexpression and anti-periodic boundary condition.
Seda Kızılbudak Çalışkan   +1 more
doaj   +1 more source

Bounds on supremum norms for Hecke eigenfunctions of quantized cat maps [PDF]

open access: yes, 2006
We study extreme values of desymmetrized eigenfunctions (so called Hecke eigenfunctions) for the quantized cat map, a quantization of a hyperbolic linear map of the torus.
Kurlberg, Par
core   +3 more sources

Eigenfunction statistics for a point scatterer on a three-dimensional torus [PDF]

open access: yes, 2012
In this paper we study eigenfunction statistics for a point scatterer (the Laplacian perturbed by a delta-potential) on a three-dimensional flat torus.
A. Schnirelman   +10 more
core   +1 more source

Analysis and methodology of determining the norm of eigenfunctions as a limit transition in the scalar product in the spectral Stourm-Louvile problem for a photonic one-dimensional crystal

open access: yesВісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2023
Relevance The last of the decades (approximately from the 90s of the 20th century) to rapid grow of photonics. That's why, firstly, relevance this work is related to relevance diffraction problems for the structures of optics ranges (photonic crystal ...
О.V. Kazanko, О.E. Penkina
doaj   +1 more source

Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution

open access: yesAxioms, 2022
In this paper, we study the eigenfunctions to one nonlocal second-order differential operator with double involution. We give an explicit form of the eigenfunctions to the boundary value problem in the unit ball with Dirichlet conditions on the boundary.
Batirkhan Turmetov, Valery Karachik
doaj   +1 more source

The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. I

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method. The properties of a generalized transformation operator $R: L_2(G)
Ya.O. Baranetskij   +3 more
doaj   +1 more source

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