Time as Quantum Observable, Canonical Conjugated to Energy

Olkhovsky, V. S.; Recami, Erasmo; Maydanyuk, Sergei P.

doi:10.5772/35264

Measurements in Quantum Mechanics 2012

DOI: 10.5772/35264

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Time as Quantum Observable, Canonical Conjugated to Energy

V. S. Olkhovsky¹,

Erasmo Recami²,

Sergei P. Maydanyuk³

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2014

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Cited by 2 publications

References 66 publications

(233 reference statements)

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Mass Density Distributions in Spiral Galaxies

Bish¹

2014

WJM

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The purpose of this paper is to show, on the basis of Newtonian mechanics (in Euclidean space), that the core disks of spiral galaxies (the central disks in galactic cores that are perpendicular to the axes of rotation) rotate in the same fashion as a phonograph turntable, if the mass densities in the cores of such galaxies remain uniform. On the basis of the hypothesis of uniform mass density in the core, it is then shown that the density of mass in the shell (the entire domain outside of the core) must remain inversely proportional to the square of radial distance from the axis of rotation and that the angular velocity in the shell annulus (annulus in the shell that contains the spiral forms) is inversely proportional to radial distance, or that the circumferential velocity on the shell disk is independent of radial distance from the core axis. The equation of motion for the shell disk is then obtained and it is concluded that the spiral shaped lanes are not trajectories. But it is shown that any bar-shaped feature crossing the shell annulus and core disk, collinear with the core centre, will become distorted, due to the above angular velocity distribution in the shell disk, assuming the form of two, symmetrically disposed, Archimedean spirals, while the portion of the bar inside the core remains undistorted and merely rotates.

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Mass Density Distributions in Spiral Galaxies

Bish¹

2014

WJM

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Asymptotic Models for Studying Kinetics of Formation of Compact Objects with Strong Internal Bonds

Lin¹

2014

WJM

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An asymptotic method has been developed for investigation of kinetics of formation of compact objects with strong internal bonds. The method is based on the uncertainty relation for a coordinate and a momentum in space of sizes of objects (clusters) with strongly pronounced collective quantum properties resulted from exchange interactions of various physical nature determined by spatial scales of the processes under consideration. The proposed phenomenological approach has been developed by analogy with the all-known ideas about coherent states of quantum mechanical oscillator systems for which a product of coordinate and momentum uncertainties (dispersions) accepts the value, which is minimally possible within uncertainty relations. With such an approach the leading processes are oscillations of components that make up objects, mainly: collective nucleon oscillations in a nucleus and phonon excitations in a mesostructure crystal lattice. This allows us to consider formation and growth of subatomic and mesoscopic objects in the context of a single formalism. The proposed models adequately describe characteristics of formation processes of nuclear matter clusters as well as mesoscopic crystals having covalent and quasi-covalent bonds between atoms.

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Time as Quantum Observable, Canonical Conjugated to Energy

Cited by 2 publications

References 66 publications

Mass Density Distributions in Spiral Galaxies

Mass Density Distributions in Spiral Galaxies

Asymptotic Models for Studying Kinetics of Formation of Compact Objects with Strong Internal Bonds

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