Узагальнення комутацiйних спiввiдношень в квантовiй механiцi систем частинок

Abstract

Generalized commutation relations are introduced for the operators of coordinates and momenta of different particles. The wave equations are obtained for one-dimensional quantum systems of two particles. A representation for the momentum operator for a one-dimensional three particle problem is constructed. General qualitative conclusions concerning the dynamics of such quantum systems of particles are discussed.