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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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