Classical and quantum q-deformed physical systems

Details Classical and quantum q-deformed physical systems Classical and quantum q-deformed physical systems

2006-05-02

arxiv.org/abs/quant-ph/0605026v1

Eur.Phys.J.C47:253-261,2006

Physics

Quantum Physics

9 pages, accepted for publication in "The European Physical Journal C"

Scientific paper

10.1140/epjc/s2006-02557-y

On the basis of the non-commutative q-calculus, we investigate a q-deformation of the classical Poisson bracket in order to formulate a generalized q-deformed dynamics in the classical regime. The obtained q-deformed Poisson bracket appears invariant under the action of the q-symplectic group of transformations. In this framework we introduce the q-deformed Hamilton's equations and we derive the evolution equation for some simple q-deformed mechanical systems governed by a scalar potential dependent only on the coordinate variable. It appears that the q-deformed Hamiltonian, which is the generator of the equation of motion, is generally not conserved in time but, in correspondence, a new constant of motion is generated. Finally, by following the standard canonical quantization rule, we compare the well known q-deformed Heisenberg algebra with the algebra generated by the q-deformed Poisson bracket.

Affiliated with

Also associated with

No associations

Rating

Classical and quantum q-deformed physical systems 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 Classical and quantum q-deformed physical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical and quantum q-deformed physical systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-184597