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The scattering problem on the Bruhat-Tits tree being the realization of the p -adic hyperbolic plane is studied. The spectral decomposition of the corresponding Laplace-Beltrami operator is constructed. The Lax-Phillips resonance scattering theory for the problem is developed in a closed form....
The problem of toroidal plasma rotation in a rippled tokamak with neutral-beam injection in the banana regime is studied. The effect of friction between circulating and locally-trapped ions is considered. It is shown that allowing for this effect one can explain experimental results of the...
The amplitude maxima, minima, and saddle points of a random wavefield are shown to be highly correlated topological singularities of the field gradient.
We have reevaluated analytically the vacuum polarization in Coulomb field using relativistic Coulomb wave functions by a new regularization method. The result is finite giving the standard result in the lowest order of iteration. The formalism of self-field quantumelectrodynamics used here needs...
Thermodynamic stability conditions (TSCs) are derived for the Tsallis and Rényi entropies. These entropies are monotonically increasing functions of each other, so their TSCs are completely equivalent although different in appearance. The TSC for the Rényi entropy S q R is simply that S q R be...
We present a novel approach for a systematic large-spin expansion of the t - J Hamiltonian which enables us to work without the constraint of no double occupancy. In our scheme we can perform the large-spin limit ensuring that the low energy spin excitations are in exact correspondence with the...
We investigate the influence of infrared irradiation on the characteristic electric transport features of low-temperature impact ionization breakdown in homogeneously doped germanium. Results on the present dissipative, nonequilibrium system are gained from time-averaged and time-resolved...
We present a detailed numerical calculation of mirror thermal noise in interferometric gravitational wave detectors. We take into account the coupling of the laser beam with the surface and the density of acoustical energy. We have developed a numerical tool, the “cypres” code. The size of...
Supersymmetric Wess-Zumino type models are considered as classical material media that can be interpreted as fluids of ordered strings with heat flow along the strings, or a mixture of fluids of ordered strings with either a cloud of particles or a flux of directed radiation.
We have analyzed data from Lunar Laser Ranging to determine the combination / vbζ 1 − ζ 0 −1/ vb of Robertson-Mansouri-Sexl parameters of special relativity. In such a Kennedy-Thorndike experiments we obtained a realistic upper limit for this combination of 1.5 × 10 −4 only a factor of...
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