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.
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}
}
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}
}