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Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols
(Maik Nauka Publishing / Springer SBM, 2014)
We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum ...
Scale transformations in phase space and stretched states of a harmonic oscillator
(Maik Nauka Publishing / Springer SBM, 2017)
We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are ...
Toroidality of Intersection Graphs of Ideals of Commutative Rings
(Springer-Verlag Tokyo, 2014)
Let R be a commutative ring with identity and G(R) its intersection graph. In this paper, all toroidal graphs that are intersection graphs are classified. An improvement over the previous results concerning the planarity ...
Description of classical and quantum interference in view of the concept of flow line
(Springer New York LLC, 2015)
Bohmian mechanics, a hydrodynamic formulation of quantum mechanics, relies on the concept of trajectory, which evolves in time in compliance with dynamical information conveyed by the wave function. Here, this appealing ...
Linear light amplifier and amplification of N-photon states
(Springer Science, 2019)
We consider a linear quantum amplifier consisting of NA two-level atoms and study the problem of
amplification of N-photon states. The N-photon states are associated with N-quantum states of the
harmonic oscillator. We ...
Mathematical Principles and Optimal Design Solutions to Compensation for the Pendulum Temperature Dilatation
(Acta Polytechnica Hungarica, 2013)
The paper analyzes the effects of pendulum temperature dilatation on the timepiece running and accounts for the basic mathematical principles that neutralization of these detrimental effects are based upon. Both preliminary ...
Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study
(SAGE Publications Ltd, 2016)
This paper analyzes the geometrical and mechanical characteristics of balance springs, which have the most important influence on the oscillation rate of the balance wheel and, consequently, the most decisive effects on ...
Scaling Transform and Stretched States in Quantum Mechanics
(Springer New York LLC, 2016)
We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - gt (aiiq; aiip), the Husimi function of any physical state ...
Partials sums and radius problem for certain class of conformal mappings
(Siberian Mathematical Journal, 2011)