The best strategy to obtain hydrodynamic (or, more in general, fluid-dynamic) equations in this case, seems to be their systematic derivation from an underlying kinetic description by means of the Maximum Entropy Principle (MEP) and its quantum extensions [11 14].
This novel mechanism is a quantum-chemistry-based extension to a previous mechanism developed at NIST for small fluorinated hydrocarbons.
This characterization is an extension for quantum semimartingales of the quantum martingale representation theorem of Parthasarathy and Sinha [J. Funct. Anal.67 (1986), 126-151].
After the introduction of scanning tunneling microscopy, STM; and atomic force microscopy, AFM, stage is set for further extension of quantum wells, QWs, into three-dimensional structures, the quantum dots, QDs.
This rule, together with its extension to quantum dynamics, see subsection 4.2, is a central principle of histories quantum mechanics.
It has been shown, for example, that analyzing some spatial structure [2,27,39] as an extension of quantum speed-up algorithm [15,16], and application to a universal computation in quantum mechanical computers [6], expressing the energy transfer on the chromatographic network in the photosynthetic system [30] and so on are strongly influenced by its virtue.
The extension of quantum entanglement out of the microscopic world and the location and nature of the frontier between quantum and classical worlds are two of these essential issues.
This phenomenon is an unusual extension of quantum physics that may shed additional light on the nature and structure of matter.
Postquantum calculus, or ((p,q -calculus,q -calculus an extensisn of quantum calculus that recovers the results as (pto1).
Actually such an extension of quantum calculus cannot be obtained directly by substitution of q by (q/p) in q-calculus.
