Interaction of the Electromagnetic Radiation Quantum and Material Particle in a Vector - Potential Space
Andrey Nikolaevich Volobuev,
Eugene Sergeevich Petrov,
Paul Konstantinovich Kuznetsov
Issue:
Volume 4, Issue 4, August 2017
Pages:
36-45
Received:
2 September 2017
Accepted:
15 September 2017
Published:
9 October 2017
Abstract: Interaction of a photon and material particle (electron and atom) is considered. It is shown that this process needs to be described in the uniform reference system moving with light velocity in space of a vector - potential. On the basis of the Noether’s theorem it is shown that in a vector - potential space the volumetric density of photon energy, its velocity and a ring current density of a material particle are conserved. On the basis of the Schrodinger’s equation solving for a photon and electron cooperating in vector - potential space it is shown the electron during interaction should represent the quantum oscillator with a discrete set energies. Electron fluctuations or Dirac’s electron "jitter" are realized with a light velocity. The problem of an electron magnetic moment (spin) occurrence in a vector - potential space is considered. Conditions of the atom currents quantization in vector - potential space, and also the Heisenberg’s uncertainty principle in this space are submitted. The Lamb’s frequency shift in vector - potential space is found. The multiphoton system in a vector - potential space is investigated.
Abstract: Interaction of a photon and material particle (electron and atom) is considered. It is shown that this process needs to be described in the uniform reference system moving with light velocity in space of a vector - potential. On the basis of the Noether’s theorem it is shown that in a vector - potential space the volumetric density of photon energy...
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Analysis of a Vector-Potential Representation of Electromagnetic Radiation Quantum
Andrey Nikolaevich Volobuev
Issue:
Volume 4, Issue 4, August 2017
Pages:
46-51
Received:
5 June 2017
Accepted:
22 June 2017
Published:
23 October 2017
Abstract: On the basis of the generalized coordinates use the opportunity of a clear representation of electromagnetic radiation quantum is shown. It is established that equation Lagrange in a classical variant passes in the wave equation for vector - potential, and at quantization in Schrodinger equation for a quantum of electromagnetic radiation in space of the generalized coordinates. The solution of Schrodinger equation is given. It is shown that in space of the generalized coordinates the vacuum energy is a constant, not dependent on the changing parameter of a quantum - its frequencies, and the length of a quantum is exponential falls with increase in volumetric density of its energy.
Abstract: On the basis of the generalized coordinates use the opportunity of a clear representation of electromagnetic radiation quantum is shown. It is established that equation Lagrange in a classical variant passes in the wave equation for vector - potential, and at quantization in Schrodinger equation for a quantum of electromagnetic radiation in space o...
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