Results 151 to 160 of about 51,774 (314)
Reconstruction of Eigenfunctions of q-ary n-dimensional Hypercube [PDF]
arXiv, 2014 Under study are eigenfunctions of $q$-ary $n$-dimensional hypercube. Given all values of an eigenfunction in the sphere we develop methods to reconstruct the function in full or in part. First, we obtain that all values of the function in the corresponding ball are uniquely determined under some supplementary conditions.
arxiv
Corrections of Electron–Phonon Coupling for Second‐Order Structural Phase Transitions
physica status solidi (b), EarlyView.The left image illustrates a weak electron–phonon coupling, while the right image depicts a strong electron–phonon coupling. The weak electron–phonon coupling interaction between the lattice and electrons is susceptible to destabilization by an increase in temperature.
Mario Graml, Kurt Hingerl
wiley +1 more source
Orthogonality of case's eigenfunctions in one-speed transport theory [PDF]
, 1964 Ivan Kuščer +2 more
openalex +2 more sources
Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold [PDF]
arXiv, 2017 We study concentration phenomena of eigenfunctions of the Laplacian on closed Riemannian manifolds. We prove that the volume measure of a closed manifold concentrates around nodal sets of eigenfunctions exponentially. Applying the method of Colding and Minicozzi we also prove restricted exponential concentration inequalities and restricted Sogge-type ...
arxiv
Irradiated Coherent States in Magnetoresistance of 2D Electron Systems
physica status solidi (b), EarlyView.A theoretical approach on the microwave‐induced resistance oscillations based on the coherent states of the quantum harmonic oscillator is reported. The coherent state expression for the quantum oscillator under a time‐dependent force is calculated. It is found that the principle of minimum uncertainty of coherent states, involving time and energy, is ...
Jesús Iñarrea, Gloria Platero
wiley +1 more source
Iterative Method for Solution of the One-Dimensional Wave Equation: Eigenvalues and Eigenfunctions for L-J (12, 6) and Exponential (α, 6) Interatomic Potentials [PDF]
, 1963 Halstead Harrison, Richard B. Bernstein
openalex +2 more sources
Symmetry, Integrability and Geometry: Methods and Applications, 2007 There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact ...
Edwin Langmann
doaj
EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. II [PDF]
, 1956 Felix E. Browder
openalex +1 more source
Mathematische Zeitschrift, 1988 where we assume that V(x) satisfies Assumptions I and II of Part I, namely V(x) is a real-valued ^°° function of xeRn. In studying eigenfunction expansions for H, we further assume the existence and intertwining property of the (modified (channel)) wave operator W+ or W~9 whose definition will be given in a general form in Sect. 1.
Jensen, Arne, Kitada, Hitoshi
openaire +3 more sources
Oscillation theory for a pair of second order dynamic equations with a singular interface
Electronic Journal of Differential Equations, 2008 In this paper we consider a pair of second order dynamic equations defined on the time scale $I = [a,c]cup [sigma(c),b]$. We impose matching interface conditions at the singular interface $c$.
Pallav Kumar Baruah +1 more
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