About
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Introduction
I am currently working on the extension of Quantum Mechanics called Quantum Infodynamics.
Current institution
Quantuminfodynamics.com
Current position
- Researcher
Education
September 1988 - September 1993
Yerevan State University
Field of study
- Theoretical Physics
Publications
Publications (7)
A multiplicative analogue of the additive Tsuji-Müller's method for constructing phase portraits of musical compositions is proposed. This new multiplicative method is applied to the problem of harmonic oscillator and damped harmonic oscillator and the resulting melody is presented in various formats. Unlike the additive method, which works only in...
New Edition of "The Mathematical Theory of Relativity" by Arthur Stanley Eddington, originally published in 1923. This edition is furnished by "Editor's Foreword" by Tigran Aivazian. This book was originally based on the LaTeX source code which was produced by professor of mathematics at College of the Holy Cross Andrew D. Hwang and made available...
This article summarises the main equations of Nonlocal Statistical Mechanics in the covariant form using Cartan's method of contact spaces. The three possibilities of generalisation of the theory are briefly discussed and the urgent need for the construction of the complete GR-like framework using Finslerian geometry is presented.
The reason for it...
This is the outline of my proposal to reformulate quantum mechanics purely in terms of Lagrangian generalised coordinate and velocity variables, but without the need for Feynman's integrals. This shows that one can avoid introducing inertial mass as a dynamical parameter. I suggest to join the concepts of nonlocal statistical mechanics along the li...
We suggest an extension of the Hilbert Phase Space formalism, which appears to be naturally suited for application to the dissipative (open) quantum systems, such as those described by the non-stationary (time-dependent) Hamiltonians $H(x,p,t)$. A notion of quantum differential is introduced, highlighting the difference between the quantum and clas...
In this paper the Einstein-Vlasov system of self-consistent field equations is used to construct a cosmological model. A solution is found for a homogeneous isotropic space-time with positive curvature (R Theta S 3 topology). For the Universe consisting of massless particles the equation for R(t) is solved analytically. 1 1. General Equations We st...
It is shown that well-known Vlasov equation can be derived by adding "hidden" degrees of freedom and subsequent quantization. The Shrodinger equation obtained in this manner coincides (in x-representation) with the kinetic equation for the original dynamical system
Questions
Question (1)
In one of Louis de Broglie's early papers ("Sur le parallélisme entre la dynamique et du point matériel et l’optique géométrique." – J. de Physique. Série VI. 1926. 7. Р. 1.) he proves that the behaviour of what we now call "de Broglie waves" in the hydrogen-like atom (with a nucleus charge +Ze) is as if the atom behaved like a refracting sphere with the effective spherically-symmetric refractive index n(ν, r) given by the following formula:
n(ν,r) = √{(1+Ze2/hνr)2 - (mec2/hν)2}
Here me is the electron's mass, ν is the wave's frequency, r is the distance from the nucleus and h is obviously Planck's constant.
Also, very curiously, he comments in passing that such an object (which de Broglie calls "refracting sphere of Bohr's atom") manifests "the qualities of mirage/illusion".
Now, my question is: can we actually build such a sphere, so that the light rays refracted therein would behave in the same way as de Broglie's waves behave inside the atom? If we could do this, then this would serve as a very nice "toy illustration" of the wave mechanics of an atom.
The problem is: are there any known materials (crystals etc) that would have such specific dispersion law? Not necessarily with the same numerical values of the parameters, but at least having the same shape of dependence on the frequency and radial distance.
