Naslov
Generalized Relativistic Hamiltonian in an Alpha Field

Autori
Novaković, Branko

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
AIP Conference Proceedings 1303, Computing Anticipatory Systems, CASYS-09 Ninth International Conference / Dubois, Daniel - Meville (NY) : American Institute of Physics (AIP), 2010, 141-148

ISBN
978-0-7354-0858-6

Skup
Computing Anticipatory Systems, CASYS-09 Ninth International Conference

Mjesto i datum
Liège, Belgija, 03.08.2009. - 08.08.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Dimensionless Field Parameters; Relativistic Hamiltonian; Linear Dirac's like Hamiltonian; Nonlinear Hamiltonian; Comparison of Hamiltonians.

Sažetak
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 ds2, 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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika, Elektrotehnika, Strojarstvo

POVEZANOST RADA