Results 211 to 220 of about 73,015 (248)

Intermediate scattering function of colloids in a periodic laser field.

open access: yesSoft Matter
Rusch R   +4 more
europepmc   +1 more source

On special orthogonal eigenfunctions and eigenfunction expansions

International Journal of Mathematical Education in Science and Technology, 1996
We extend some earlier results while illustrating solution techniques commonly encountered by students in undergraduate and beginning graduate courses of mathematical analysis, differential equations, and engineering mathematics. Previously, Turan's inequality was established by using a technique known as the Prufer substitution.
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Atomic Eigenfunctions and Energies

Physical Review, 1932
In \textsection{}1, the calculation of the nondiagonal elements of electrostatic interaction is sketched. In \textsection{}2, attention is called to the fact that the matrix elements of ${L}_{x}$ (the $x$-component of orbital angular momentum), as calculated between spherical harmonic eigenfunctions taken with positive phase, are negative when ${m}_{l}$
Ufford, C. W., Shortley, G. H.
openaire   +2 more sources

Separatrix eigenfunctions

Physical Review A, 1992
, Cary, , Rusu
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Some Properties of Eigenfunctions

SIAM Journal on Applied Mathematics, 1975
The purpose of this paper is to find simple relations between properties of eigenfunctions $y( x )$ and the density function $p( x )$ of the system $y'' + \lambda p( x )y = 0,y( { \pm 1} ) = 0$.
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Factorization Ladders and Eigenfunctions

Canadian Journal of Mathematics, 1949
The eigenfunctions of a boundary value problem are characterized by two quite distinct properties. They are solutions of ordinary differential equations, and they satisfy prescribed boundary conditions. It is a definite advantage to combine these two requirements into a single problem expressed by a unified formula.
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SOME EIGENFUNCTION FORMULAE

The Quarterly Journal of Mathematics, 1950
Sears, D. B., Titchmarsh, E. C.
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