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Elliptic Deformed Classical Mechanics in Three-Dimensional Phase Space

Technical Report:

Abstract

We 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.
Authors:
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
JINR-E-2-94-249
Reference Number:
SCA: 661100; PA: AIX-26:012169; EDB-95:031925; SN: 95001324646
Resource Relation:
Other Information: DN: Submitted to Proceedings of the Conference on Dynamical Systems and Chaos, Tokyo, May 23-27, 1994.; PBD: 1994
Subject:
71 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
OSTI ID:
10112418
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Computing Techniques and Automation
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE95613384; TRN: XJ9406592012169
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
10 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Yamaleev, R M. Elliptic Deformed Classical Mechanics in Three-Dimensional Phase Space. JINR: N. p., 1994. Web.
Yamaleev, R M. Elliptic Deformed Classical Mechanics in Three-Dimensional Phase Space. JINR.
Yamaleev, R M. 1994. "Elliptic Deformed Classical Mechanics in Three-Dimensional Phase Space." JINR.
@misc{etde_10112418,
title = {Elliptic Deformed Classical Mechanics in Three-Dimensional Phase Space}
author = {Yamaleev, R M}
abstractNote = {We 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.}
place = {JINR}
year = {1994}
month = {Dec}
}