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
A lower bound for the nodal sets of Steklov eigenfunctions [PDF]
arXiv, 2014 We consider the lower bound of nodal sets of Steklov eigenfunctions on smooth Riemannian manifolds with boundary--the eigenfunctions of the Dirichlet-to-Neumann map. Let $N_\lambda$ be its nodal set. Assume that zero is a regular value of Steklov eigenfunctions.
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
Orthogonality of case's eigenfunctions in one-speed transport theory [PDF]
, 1964 Ivan Kuščer +2 more
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Optimal Recovery of Rayleigh‐Wave Overtones by Multi‐Directional Acquisition
Geophysical Research LettersRayleigh waves are ubiquitously used for subsurface characterization through dispersion curve inversion, whose quality depends on the number of useable overtones.
A. Lellouch, E. Shimony, P. Sinitsyn
doaj +1 more source
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
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
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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
EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. II [PDF]
, 1956 Felix E. Browder
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