Results 151 to 160 of about 261,560 (199)

Inhomogeneous potentials producing homogeneous orbits

Astronomische Nachrichten, 1997
AbstractWe prove that, in general, a given two‐dimensional inhomogeneous potential V(x,y) does not allow for the creation of homogeneous families of orbits. Yet, depending on the case at hand, if the given potential satisfies certain conditions, this potential is compatible either with one (or two) monoparametric homogeneous families of orbits or at ...
Bozis, G., Anisiu, M.-C., Blaga, C.
openaire   +2 more sources

Information entropies for eigendensities of homogeneous potentials

The Journal of Chemical Physics, 2006
For homogeneous potentials, the sum ST, of position and momentum Shannon information entropies Sr and Sp is shown to be independent of the coupling strength scaling. The other commonly used uncertainty like products also follow similar behavior. The ramifications of this scaling property in the cases of hydrogenlike, harmonic oscillator, Morse, and ...
K D, Sen, Jacob, Katriel
openaire   +2 more sources

Tangential Limits of Potentials on Homogeneous Trees

Potential Analysis, 2003
Let \(\mathbf{T}\) be a homogeneous tree of homogeneity \(q+1\), and \(\Delta\) be the boundary of \(\mathbf{T}\), and \(G\) the Green function on \(\mathbf{T}\times\mathbf{T}\). The main result is: If we assume that \(f\) is nonnegative and \(Gf(s)=\sum G(s,t)f(t)\) is finite and that \(f\) satisfies a growth condition, \(\sum f(t)^{p}q^{-\gamma|t|}\),
GowriSankaran, Kohur, Singman, David
openaire   +1 more source

POTENTIAL THEORY ON HOMOGENEOUS GROUPS

Mathematics of the USSR-Sbornik, 1990
In the present article \(L_ p\)-theory of potential on any homogeneous group [see \textit{G. B. Folland} and \textit{E. M. Stein}, Hardy spaces on homogeneous groups (1982; Zbl 0508.42025)] with respect to kernels which are functions of homogeneous norm is developed. In the linear case \((p=2)\) the classical results of potential theory are generalized:
openaire   +3 more sources

Homogeneous Bundles and Universal Potentials

Canadian Mathematical Bulletin, 1986
AbstractThis paper studies complex potentials on homogeneous bundles over a compact Lie group. It extends the previous work of V. Guillemin and A. Uribe on potentials isospectral to the zero potential. Then the notion of a universal potential is introduced, that is a potential which acts on sections by a group representation rather than as a scalar ...
openaire   +2 more sources

Geometrically similar orbits in homogeneous potentials

Inverse Problems, 1993
Summary: If \(V(r,\theta)=r^ m G(\theta)\) is, in polar coordinates, a homogeneous potential, of degree \(m\), which can give rise to a given family \(f(r,\theta)=rg(\theta)=\) constant of geometrically similar planar orbits, a second-order ordinary linear, in \(G(\theta)\), homogeneous differential equation is found for any function \(g(\theta ...
Bozis, George, Stefiades, Apostolos
openaire   +2 more sources

Integrability of two-dimensional homogeneous potentials

Journal of Physics A: Mathematical and General, 1988
The authors combine the extended Painlevé conjecture with Yoshida's singularity and stability theorems [cf. \textit{D. Roekaerts} and \textit{F. Schwarz}, J. Phys. A 20, L 127-L 133 (1987; Zbl 0625.70011)] to show that for two-dimensional homogeneous potentials of even degree the integrability condition restricts Kovalevskaya exponents and ...
Joy, M. P., Sabir, M.
openaire   +1 more source

Potential Operators with Mixed Homogeneity

2017
In 1966 Cora Sadosky introduced a number of results in a remarkable paper “A note on Parabolic Fractional and Singular Integrals”, see Sadosky (Studia Math 26:295–302, 1966), in particular, a quasi homogeneous version of Sobolev’s immersion theorem was discussed in the paper. Later, C. P. Calderon and T.
Calixto P. Calderón, Wilfredo Urbina
openaire   +1 more source

Homogeneous two-parametric families of orbits in three-dimensional homogeneous potentials

Inverse Problems, 2005
Summary: We study three-dimensional homogeneous potentials \(V(x,y,z)= x^mR({y\over x},{z\over x})\) of degree \(m\) from the viewpoint of their compatibility with preassigned two-parametric families of spatial regular orbits given in the solved form \(f(x,y,z)= c_1\), \(g(x,y,z)= c_2\) where each of the functions \(f\) and \(g\) is also homogeneous in
Bozis, George, Kotoulas, Thomas A.
openaire   +2 more sources