Generalized relativistic Hamiltonian in an alpha field

Novaković, Branko (2010) Generalized relativistic Hamiltonian in an alpha field. = Generalized relativistic Hamiltonian in an alpha field. In: 9th International Conference on Computing Anticipatory Systems, CASYS'09, 03-08.08.2009., Liege, Belgium.

Full text not available from this repository.
Official URL:


An alpha field is a potential field that can be presented by two dimensionless field parameters α and α′. To this category belong, among the others, electromagnetic and gravitational potential fields. The field parameters α and α′ should satisfy the field equations of the related potential field in each concrete case. The problem is to derive the generalized relativistic Hamiltonian that can be applied to an alpha field. Starting with variation principle and with the generalized line element ds 2, a linear Dirac's like relativistic Hamiltonian has been derived as the function of the field parameters α and α′. The comparison of the coefficients of that Hamiltonian with the coefficients of the well known Dirac's Hamiltonian helps to understand their physical sense. The derived linear Dirac's like relativistic Hamiltonian has been applied to an electromagnetic and to a gravitational field. The application to a gravitational field leads to the gravitomagnetic phenomena on the natural way, without any a priory assumption. The nonlinear relativistic Hamiltonian for an alpha field has also been derived starting with the linear one and using quadratic operation. Both Hamiltonians can be applied to the Special and General Relativity, as well as, to the multipotential alpha fields. © 2010 American Institute of Physics.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): comparison of Hamiltonians; dimensionless field parameters; linear Dirac's like Hamiltonian; nonlinear Hamiltonian; relativistic Hamiltonian
Subjects: NATURAL SCIENCES > Physics
TECHNICAL SCIENCE > Electrical Engineering
TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 900 Department of Robotics and Production System Automation > 910 Chair of Engineering Automation
Indexed in Web of Science: No
Indexed in Current Contents: No
Citations SCOPUS: 1 (24.09.2018.)
Date Deposited: 17 Apr 2015 06:32
Last Modified: 24 Sep 2018 12:55

Actions (login required)

View Item View Item

Nema podataka za dohvacanje citata