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Journal of Material Sciences

ISSN: 2321-6212

I n t e r n a t i o n a l C o n f e r e n c e o n

Metal, Mining and

Magnetic Materials

N o v e m b e r 0 1 - 0 2 , 2 0 1 8

P a r i s , F r a n c e

Metal and Magnetism 2018

T

he starting point of our research is an error in the conventional quantum

mechanics based on the Schrodinger equation: the solution of this

equation is a wave packet in the coordinate space with the time-dependent

phases proportional to the Hamiltonian, while the group velocity in this space

is in agreement with one of the Hamilton equations, the group velocity in the

conjugated space, of the momentum, is contradictory to the other Hamilton

equation. The agreement with the Hamilton equations is obtained only by

replacing the Hamiltonian with the Lagrangian. In this case, instead of the

conventional Schrodinger equation, one obtains a Schrodinger-type equation

which, besides the Hamiltonian, includes the product of the momentum with

the velocity as an additional term. It is reasonable to consider the relativistic

Lagrangian. Since the Lagrangian of a quantum particle is proportional to

the time-space interval, which includes the gravitational field, the relativistic

quantum principle can be defined as the invariance of the time dependent

phases of the wave packet describing a quantum particle. On the other hand,

if the invariance of the time-space interval is considered as a principle, in the

framework of the general theory of relativity we find that any acceleration

of a differential element of matter under the action of an external field is

perpendicular to the velocity of this element in the internal, gravitational field.

This means that the matter dynamics in a central field is a rotation around the

center of this field. For the distribution of the rotating matter in a standing

state, a Fourier series expansion can be considered. The matter corresponding

to a Fourier component is called quantum particle. In this way, quantum

mechanics can be considered as a Fourier representation of the relativistic

mechanics of a distribution of matter. In this case, the Schrodinger-Dirac

equation and the spin are obtained for a low velocity, when the momentum-

velocity product is negligible compared to the particle energy, which includes

the rest energy. When the spin is neglected, the conventional Schrodinger

equation with the classical Hamiltonian, which does not include the rest energy,

is obtained. The particle interaction with an electromagnetic field is described

by a time dependent phase variation, with a vector potential conjugated to the

coordinates and a scalar potential conjugated to time. From the invariance

of this phase variation, the Maxwell equations of the electromagnetic field

are obtained, while the matter dynamics of the particle is characterized by a

magnetic moment interacting with this field.

Biography

Eliade Stefanescu has graduated from the Faculty of

Electronics, Section of Physicist Engineers in 1970, and after

a long activity in the field of the research and development of

the semiconductor devices, he obtained a PhD in Theoretical

Physics in 1990. He discovered a phenomenon of penetrability

enhancement of a potential barrier by dissipative coupling. He

developed a microscopic theory of open quantum systems,

discovered a physical principle and invented a device for heat

conversion into usable energy, and produced a unitary quantum

relativistic theory. He is member of American Chemical Society

and of Academy of Romanian Scientists. He received the Prize

of Romanian Academy for physics in 1983, and the Prize Serban

Titeica in 2014, for his book entitled “

Open quantum physics

and environmental heat conversion into usable energy

”. He has

been invited to present his results in numerous international

conferences, as Speaker, Keynote Speaker, and Member of the

organizing committee.

eliadestefanescu@yahoo.fr

Magnetic moment of a charged quantum particle as a

relativistic distribution of matter

Eliade Stefanescu

Advanced Studies in Physics Center of the Romanian Academy, Romania

Eliade Stefanescu, J Mat. Sci. 2018, Volume:6

DOI: 10.4172/2321-6212-C7-032