Vol. 1, No 3, 1996 pp.
193 - 199
UDC
539.186
NEW INTEGRABLE SYSTEMS RELATED TO HYDROGEN ATOMS IN COMBINED CIRCULARLY POLARIZED AND MAGNETIC FIELDS
M. Raković
Institute of Physics, University of Belgrade, P.O.Box 57, 11001 Belgrade, Yugoslavia
Abstract.
The Hamiltonian function is investigated. By direct construction of the two additional integrals of motion it is demonstrated that the cases λ1 = λ2 = 1 and λ1 = 2, λ2 = 1 are integrable. In the case λ1 = 1, λ2 = 1/2 one additional integral of motion is constructed and the integrability is further tested numerically.
NOVI INTEGRABILNI SISTEMI POVEZANI SA VODONIKOVIM ATOMIMA U KOMBINOVANIM CIRKULARNO POLARIZOVANIM I MAGNETNIM POLJIMA
Ispitivana je Hamiltonova funkcija. Direktno su konstruisana dva dodatna integrala kretanja za koje je pokazano da u slučajevima λ1 = λ2 = 1 i λ1 = 2, λ2 = 1 su integrabilni. U slučaju λ1 = 1, λ2 = 1/2 jedan dodatni integral kretanja je konstruisan čija integrabilnost je dalje numerički testirana.
