Vol.1, No 4, 1997 pp. 15 - 20
UDC: 530.1

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REDUCTION OF AN INFINITE-DIMENSIONAL HAMILTONIAN SYSTEM
IN CLASSICAL AND QUANTUM MECHANICS
N. Burić
Department of Physics and Mathematics, Faculty of Pharmacy, Vojvode Stepe 450, 11000 Beograd, Yugoslavia
e-mail: majab@rudjer.ff.bg.ac.yu

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Abstract. We show that classical or quantum mechanics can both be obtained from an infinite-dimensional Hamiltonian system. The procedure consists in postulating mathematical representatives of the physical observables and performing a reduction of the Hamiltonian system by the corresponding phase groups as symmetry groups.
Keys words: infinite Hamiltonian systems, symmetry, reduction

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REDUKCIJA BESKONAČNO-DIMENZIONOG HAMILTONOVOG SISTEMA
U KLASIČNOJ I KVANTNOJ MEHANICI Pokazano je da se klasična i kvantna mehanika mogu dobiti redukcijom istog beskonačno-dimenzionog Hamiltonovog sistema. Procedura se sastoji u postuliranju matematičkih reprenzenata fizičkih veličina i u redukciji Hamiltonovog sistema pomoću odgovarajuće fazne grupe kao grupe simetrije.