%AYamaleev, R M
%D1994
%I; Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Computing Techniques and Automation
%J
%K71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS, THREE-DIMENSIONAL CALCULATIONS, PHASE SPACE, EQUATIONS OF MOTION, JACOBIAN FUNCTION, NEWTON METHOD, QUANTIZATION, TWO-DIMENSIONAL CALCULATIONS, 661100, CLASSICAL AND QUANTUM MECHANICS
%PMedium: X; Size: 10 p.
%TElliptic Deformed Classical Mechanics in Three-Dimensional Phase Space
%XWe suggest the new way of introduction into three-dimensional phase space. Our approach is based on the elliptic deformation of two-dimensional phase space. This kind of deformation we call `elliptic` because oscillator of deformed mechanics is described by the Jacobi elliptic functions. The theory contains a parameter {mu} of energy dimensionality, so that for {mu} {yields} {infinity} the deformed dynamics is reduced to the Newton equations. The quasiclassical way of quantization is considered. 8 refs.
%0Technical Report
JINR Other: ON: DE95613384; TRN: XJ9406592012169 INIS English