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Spin Maser under Stationary Pumping
V. I. Yukalov, E. P. Yukalova
Spin dynamics of a polarized spin system is studied when the latter is coupled with a resonant electric circuit and is under the action of an external pumping supporting a stationa…
Statistical Green's Functions
V. I. Yukalov
The basic mathematical properties of Green's functions used in statistical mechanics as well as the equations defining these functions and the techniques of solving these equations…
Booms and Crashes in Self-Similar Markets
S. Gluzman, V. I. Yukalov
Sharp changes in time series representing market dynamics are studied by means of the self--similar analysis suggested earlier by the authors. These sharp changes are market booms…
Unified Approach to Crossover Phenomena
S. Gluzman, V. I. Yukalov
A general analytical method is developed for describing crossover phenomena of arbitrary nature. The method is based on the algebraic self-similar renormalization of asymptotic ser…
Self-Similar Exponential Approximants
V. I. Yukalov, S. Gluzman
An approach is suggested defining effective sums of divergent series in the form of self-similar exponential approximants. The procedure of constructing these approximants from div…
Cannon for Neutral Particles
V. I. Yukalov, E. P. Yukalova
Dynamics of spin-polarized neutral particles, such as neutrons or neutral atoms and molecules, in magnetic fields is studied. A new regime of motion is found where particles move m…
Self-Similar Interpolation in Quantum Mechanics
V. I. Yukalov, E. P. Yukalova, S. Gluzman
An approach is developed for constructing simple analytical formulae accurately approximating solutions to eigenvalue problems of quantum mechanics. This approach is based on self-…
Renormalization--Group Solutions for Yukawa Potential
V. I. Yukalov, E. P. Yukalova, F. A. Oliveira
The self--similar renormalization group is used to obtain expressions for the spectrum of the Hamiltonian with the Yukawa potential. The critical screening parameter above which th…
Fixed Points in Self-Similar Analysis of Time Series
S. Gluzman, V. I. Yukalov
Two possible definitions of fixed points in the self-similar analysis of time series are considered. One definition is based on the minimal-difference condition and another, on a s…
Negative Electric Current in Semiconductors
V. I. Yukalov, E. P. Yukalova
Electric current in semiconductors is considered as a function of time. Nonequilibrium fluctuations of the current are studied for strongly nonuniform samples. It is demonstrated t…