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14 papers · 1 filter
Geometrical methods in loop calculations and the three-point function
A. I. Davydychev
A geometrical way to calculate N-point Feynman diagrams is reviewed. As an example, the dimensionally-regulated three-point function is considered, including all orders of its epsi…
Geometrical theory of whispering gallery modes
Michael L. Gorodetsky, Aleksey E. Fomin
Using quasiclassical approach rather precise analytical approximations for the eigenfrequencies of whispering gallery modes in convex axisymmetric bodies may be found. We use the e…
On Convergence to Equilibrium Distribution, II. The Wave Equation in Odd Dimensions, with Mixing
T. V. Dudnikova, A. I. Komech, N. E. Ratanov +1
The paper considers the wave equation, with constant or variable coefficients in , with odd . We study the asymptotics of the distribution of the random soluti…
Two-body quantum mechanical problem on spheres
Alexey V. Shchepetilov
The quantum mechanical two-body problem with a central interaction on the sphere is considered. Using recent results in representation theory an ordinary differential…
On embeddings of homogeneous spaces with small boundary
Ivan V. Arzhantsev, Juergen Hausen
We study equivariant embeddings with small boundary of a given homogeneous space , where is a connected, linear algebraic group with trivial Picard group and only trivial…
Comment on "What does the Letelier-Gal'tsov metric describe?"
G. Clement, D. V. Gal'tsov, P. S. Letelier
We show that the Letelier-Gal'tsov (LG) metric describing multiple crossed strings in relative motion does solve the Einstein equations, in spite of the discontinuity uncovered rec…