Articles and Publication Physics Electrophysics ELEMENTS OF RELATIVISTIC CHRONOQUANTUM'S ELECTRODYNAMICS
ELEMENTS OF RELATIVISTIC CHRONOQUANTUM'S
ELECTRODYNAMICS
© Oleg Orestovich
Feygin
Northeast Advance
Regional Project's Agency
Institute of
Scientific and Technological Researches
Ukrainian Academy
of Sciences for National Progress
Kharkov, Ukraine
Contact to author: fond@online.kharkiv.com
www.geocites.com/fond_nauka
Relativistic chronoquantum electrodynamics
/RCQED/ on the semantic structure takes concluding
place in formal structure of discrete temporalogy. RCQED together with kinetics
and dynamics of chronoquantums makes the logic circuit of development of
chronophysics representations. Them conception and adequate reinterpretation it
is possible in classical borders of quantum mechanics, the theory of a
relativity, physics of a microcosm and vacuum, and also relativistic cosmology.
The free electromagnetic field in chronoquantum
theories supposes relativistic representation for spectral decomposition of
standing electromagnetic waves. The vector potential of a field in approach of
some continuous function of coordinates and for separate temporally-continuum's
environment /STCE/ can look like time
A = S [a
exp (i k r)
+ a* exp (-i
k r)]; (1)
where k, r - wave and radius – a vector.
Set of vectors {a} form discrete set for a free field with trivial ratio
E = const(1)
dA / h(t); H
= rotA;
E = const(2) ∫
(E^2 + H^2)
dV; ΔA
= const(3) [dA / h(t)]^2;
(2)
where h(t) – temporal component of quantum of
action. Transition from connected to initial variables:
{a, a *} ®
{q, p}, (3)
means, that the generalized coordinates and
pulses are material combinations of initial vector variables. It agrees
êâàíòîâîìåõàíè÷åñêèì to rules to quantum sizes it is
possible to compare their operators
p ® <p>,
q ® <q>.
(4)
Then, formulas (2) get operational sense of
influence on wave ψ-function. Accordingly, the amplitude of conditions of
similar relativistic quantum objects will be described by set of discrete field
formations as function of their number and time. In this case dependence of
ψ-function on time will be determined by one of the reduced forms of Schrödinger
equation and it chronoquantum's analogue
i h dψ
/ dt = <H>ψ; i h(e) dψ = <H>ψ;
<H> = const(2) ∫(<E>^2 +
<H>^2) dV; (5)
where h(e) – power a component of quantum of
action. The initial equation (5) is relativistic-invariant, being based on the
corresponding equations of electrodynamics. In initial quantum electrodynamics
of the decision of the equations (5) define levels of energy of field structure.
Dynamics of field conditions in many respects is determined by a nonzero level
of vacuum of an electromagnetic field. The subsequent excitation of a field is
equivalent to occurrence of photons in quantity proportional to a level to
excitation. Strongly paracompact fields with high values of quantum numbers can
be considered within the framework of the classical quantum theory. In addition,
always static fields which are not admitting representations in the form (1),
being strictly located, within the limits of some allocated STCE.
In case of RCQED key parameters of an
electromagnetic field gets a kind of chrono-functional, numbers of filling of
the photons determining a condition of a field working on ψ-function. Thus,
the most adequate form of the description in RCQED is application of a set of
chronoquantum's operators of localization on certain STCE. Consideration of a
situation is typical of the standard relativistic quantum theory through
operators of a birth and destruction of microparticles. Thus, procedure of
secondary quantization takes place, and ψ-operators influence amplitude of
conditions of the microobjects, being function of numbers of filling of carriers
of electric charges.
The complicated question separate enough makes a
choice of a way of the description of interaction in RCQED. In classical quantum
electrodynamics, the essential moment is input of a macroscopical limit for
electromagnetic interactions. Similar interactions of the charged microobjects
with an electromagnetic field are usually described following expressions in
operational representation
const(4) ∫[A(i) j(i)] dV ®
const(5) ∫[<j(i)> <A(i)>] dV; (6)
here A(i) and j(i) – four-dimensional potential
and a current of charges. The formula (6) defines the operator of
electromagnetic interaction with the operator of quantums of an electromagnetic
field - <A(i)> and the operator of a current of probability for carriers
of a charge - <j(i)>. The detailed analysis of interaction of a field with
its carriers shows, that it should be described by system of Dirac equations and
operational Maxwell equations. The decision of this system of the equations is
uniform function for amplitude of the condition, dependent on quantum numbers of
filling of carriers of an electrocharges and photons. Probabilities of
localization on STCE the given field structures are defined by square-law forms
of amplitude of a condition. From told follows, those kinetic processes in
electromagnetic fields can be considered as transitive localizations from one
STCE in another.
In summary, it is necessary to note, that
relative ease of construction of conceptual scheme of RCQED is connected to
presence of well-developed macroanalogues in the classical theory of a field and
rather small size of a constant of the electromagnetic interactions, allowing
taking advantage of the theory of indignations.
REFERENCES
1. Feygin O.O. Discrete - temporal model of
Universe // SciTecLibrary (2003). - http://www.sciteclibrary.ru/eng/catalog/pages/5159.html
2. Feygin O.O. Discrete principles of
quantum chronodynamic // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5200.html
3. Feygin O.O. Quantum-theoretical
chrono-discretization // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5201.html
4. Feygin O.O. Cosmological principles of
quantum chronophysics // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5296.html
5. Feygin O.O. Chronodynamic
reinterpretation of Planck’s lengths // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5348.html
6. Feygin O.O. Temporal quantum functionals
// Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5658.html
7. Feygin O.O. Concepts of quantums
chronophysics // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5813.html
8. Feygin O.O. Mechanics of chrono-quantums
// Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5978.html
9. Feygin O.O.
Quantum temporallogy // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/6375.html
10. Feygin O.O. Model
linearization of quantum chronodynamic //
SciTecLibrary (2004). - http://www.sciteclibrary.ru/rus/catalog/pages/7015.html
11. Feygin O.O. Principles
of chronoquantum mechanics // Ibid. – http://www.sciteclibrary.ru/rus/catalog/pages/7016.html
Publishing date: April 13, 2004
Source: SciTecLibrary.ru
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