Open Quantum Physics and Environmental Heat Conversion into Usable Energy

Volume 2

by

Eliade Stefanescu

DOI: 10.2174/97816810841901170201
eISBN: 978-1-68108-419-0, 2017
ISBN: 978-1-68108-420-6
ISSN: 2542-5064 (Print)
ISSN: 2542-5072 (Online)



Indexed in: EBSCO.

The second volume of this book series presents a foundation for describing electron-field interactions, the basic elements involved in...[view complete introduction]
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Unitary Relativistic Quantum Dynamics and Electromagnetic Field

- Pp. 10-55 (46)

Eliade Stefanescu

Abstract

In this chapter, we consider a quantum particle wave function with a bound spectrum of velocity c, and obtain the relativistic momentum based on the group velocity of this wave function. With a space-time isometry condition, the Lorentz transformation and the relativistic dynamics were obtained. Considering a field interacting with a quantum particle as a four-vector conjugated to the space-time vector in the time-dependent phase, we obtain the Lorenz force and the Maxwell equations. It is interesting that only the Ampère-Maxwell equation of a magnetic circuit is specific to the electromagnetic field, while the other equations are general for a field interacting with a charged quantum particle. Considering the time-dependent phase of a quantum particle interacting with an electromagnetic field with a space-time homogeneity condition, we obtain Lorentz transformations for this field. For a quantum particle at a non-relativistic velocity, we obtain a wave function with a very rapidly-varying factor, of a frequency proportional to the rest energy of this particle. From the Schrödinger equation of a particle with a relativistic Hamiltonian, we obtain a split of the wave function into four components, describing a proper rotation of this particle with an angular momentum called spin (Dirac’s relativistic electron theory). Moreover, we also calculate electron potential in the magnetic field, and two-electron interaction potential.

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