we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

We analyse the physical meaning of quantum phase effects for point-like charges and electric (magnetic) dipoles in an electromagnetic (EM) field. At present, there are known eight such a kind: four them (the magnetic Aharonov – Bohm phases electrons, Casher moving dipole He McKellar Wilkens dipole) had been disclosed 20th century, while new recently found by our team (A. L. Kholmetskii, O. V. M...

We consider an experimentally obtainable SUP operator, defined by using a generalized superposition of products field annihilation ($a$) and creation ($a^\dagger$) operators the type, $A = saa^\dagger+t{a^\dagger}a$ with $s^2+t^2=1$. apply this operator on coherent thermal quantum states, states thus produced are referred as SUP-operated state (SOCS) (SOTS), respectively. In present work, we re...

Three-dimensional superposition is an abstract task involving the placement of one object in the space of another. Computational techniques that superimpose molecules serve as a focal point for the interpretation and understanding of molecular data. Superposition plays an important role in correlating a wide assortment of information (e.g., energetic, physiochemical, biological, or pharmacokine...

We study the statistical and squeezing properties of cavity light produced by a degenerate three-level laser with use solution pertinent quantum Langevin equation. Moreover, applying density operator to radiation superposition, we investigated superposed beams generated pair lasers. Superposing increases mean variance photon number without affecting quadrature squeezing. It is observed that deg...

A nonlinear superposition operator $T_g$ related to a Borel measurable function $g:\ {\mathbb C}\to C}$ is defined via $T_g(f):=g\circ f$ for any complex-valued $f$ on ${\mathbb R^n}$. This article devoted investigating the mapping properties of new BMO type space recently introduced by Bourgain, Brezis and Mironescu [J. Eur. Math. Soc. (JEMS) 17 (2015), 2083-2101], as well its VMO CMO subspace...

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Results are presented generalising superposition to non-linear systems by using qualitative differential equations. These are applied to allow the composition and decomposition of qualitative histories. Histories record the qualitative changes in a system over time, and they can be automatically generated by qualitative simulation. The qualitative superposition of such histories is shown to be ...