On Pairs of Difference Operators Satisfying: [P,Q] = Id

Details On Pairs of Difference Operators Satisfying: [P,Q] = Id On Pairs of Difference Operators Satisfying: [P,Q] = Id

1997-03-02

arxiv.org/abs/hep-th/9703015v1

J.Math.Phys. 39 (1998) 545-568

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, plain TeX

Scientific paper

10.1063/1.532322

Different finite difference replacements for the derivative are analyzed in the context of the Heisenberg commutation relation. The type of the finite difference operator is shown to be tied to whether one can naturally consider $P$ and $X$ to be self-adjoint and skew self-adjoint or whether they have to be viewed as creation and annihilation operators. The first class, generalizing the central difference scheme, is shown to give unitary equivalent representations. For the second case we construct a large class of examples, generalizing previously known difference operator realizations of $[P,X]=Id$.

Affiliated with

Also associated with

No associations

Rating

On Pairs of Difference Operators Satisfying: [P,Q] = Id does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Pairs of Difference Operators Satisfying: [P,Q] = Id, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Pairs of Difference Operators Satisfying: [P,Q] = Id will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599923