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N o v e m b e r 0 5 - 0 6 , 2 0 1 8 | P h i l a d e l p h i a , U S A
3rd INTERNATIONAL OBESITY SUMMIT AND EXPO
&
&
DIABETES, NUTRITION, METABOLISM & MEDICARE
2nd International Conference on
Joint Event on
OF EXCELLENCE
IN INTERNATIONAL
MEETINGS
YEARS
LASER, OPTICS AND PHOTONICS
World Conference on
Obesity Summit 2018 & Diabetes Conference 2018 & Laser Photonics Conference 2018 Biomedical Research | ISSN: 0976-1683| Volume 29
Eliade Stefanescu, Biomed Res 2018, Volume 29 | DOI: 10.4066/biomedicalresearch-C7-019
QUANTUM MECHANICS AS A FOURIER
REPRESENTATION OF A PARTICLE
RELATIVISTIC DYNAMICS
Eliade Stefanescu
Romanian Academy, Romania
The starting point of this research was a representation of a quantum par-
ticle according to the Schrodinger equation of the conventional quantum
mechanics. In this representation, a quantum particle is described by a wave
packet in the coordinate space and the conjugated wave packet in the mo-
mentum space. The problemwas that while in the coordinate space the group
velocity was in agreement with one of the Hamilton equations, the group
velocity in the momentum space was in contradiction with the other Ham-
ilton equation – a minus sign was missing. Group velocities in agreement
with the Hamilton equations are obtained only when in the time dependent
phase of a quantum particle wave packet, instead of the Hamiltonian coming
from the conventional Schrodinger equation, the Lagrangian is considered.
This suggests us to consider the relativistic Lagrangian in the time depen-
dent phase. In this way, the conventional relativistic principle of invariance
of the time-space interval gets the more physically understandable form of
the invariance of the time dependent phase of a quantum particle – the time
dependent phase of a quantum particle is the same in any system of coor-
dinates. Based on the relativistic of the time dependent phase invariance of
a quantum particle, from the group velocities of this particle the relativistic
kinematics and dynamics are obtained. The interaction with an electromag-
netic field is described by a modification of the time dependent phase with a
scalar potential conjugated to time and a vector potential conjugated to the
space coordinates. According to the formalism of the general relativity any
matter element in a field of forces is accelerated only perpendicularly to its
velocity. This means that the matter propagation of a quantum particle can be
conceived in planes perpendicular to velocity, while the mater distribution can
be considered in a Fourier representation – quantum waves.
Eliade Stefanescu graduated from faculty of electronics,
Section of physicist engineers, in 1970, and obtained a
PhD in theoretical physics in 1990. As a scientist from
1976, a senior scientist III from 1978, he worked in tech-
nology of semiconductor devices. From 1978, he worked
in physics of optoelectronic devices. From 1987, and
from 1990 as a senior scientist II, he worked in the field
of open quantum physics. In 1991 he discovered that
the penetrability of a potential barrier can be increased
by coupling to a dissipative system, and described the
decay spectrum of some cold fission modes. As a senior
scientist I, from 1997 he developed a microscopic theo-
ry of open quantum systems, and discovered a physical
principle for the heat conversion into usable energy. In
2014, he produced a unitary relativistic quantum theory.
In the years 1995-2000, he held a course called dissipa-
tive systems for the master degree.
BIOGRAPHY