x_and_d {weyl} | R Documentation |
Generating elements for the first Weyl algebra
Description
Variables x
and d
correspond to operator x
and
\partial_x
; they are provided for convenience. These
elements generate the one-dimensional Weyl algebra.
Note that a similar system for multivariate Weyl algebras is not
desirable. We might want to consider the Weyl algebra generated by
\left\lbrace
x,y,z,\partial_x,\partial_y,\partial_z\right\rbrace
and correspondingly define R variables x,y,z,dx,dy,dz
. But
then variable x
is ambiguous: is it a member of the first Weyl
algebra or the third?
Usage
data(x_and_d)
Author(s)
Robin K. S. Hankin
Examples
d
x
.[d,x] # dx-xd==1
d^3 * x^4
(1-d*x*d)*(x^2-d^3)
[Package weyl version 0.0-5 Index]