Noncommutative quantum mechanics: uniqueness of the functional description

Details Noncommutative quantum mechanics: uniqueness of the functional description Noncommutative quantum mechanics: uniqueness of the functional description

2008-10-07

arxiv.org/abs/0810.1224v2

Physical Review D78, 125009 (2008)

Physics

Quantum Physics

13 pages

Scientific paper

10.1103/PhysRevD.78.125009

The generalized Weyl transform of index $\alpha$ is used to implement the time-slice definition of the phase space path integral yielding the Feynman kernel in the case of noncommutative quantum mechanics. As expected, this representation for the Feynman kernel is not unique but labeled by the real parameter $\alpha$. We succeed in proving that the $\alpha$-dependent contributions disappear at the limit where the time slice goes to zero. This proof of consistency turns out to be intricate because the Hamiltonian involves products of noncommuting operators originating from the non-commutativity. The antisymmetry of the matrix parameterizing the non-commutativity plays a key role in the cancelation mechanism of the $\alpha$-dependent terms.

Affiliated with

Also associated with

No associations

Rating

Noncommutative quantum mechanics: uniqueness of the functional description 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 Noncommutative quantum mechanics: uniqueness of the functional description, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative quantum mechanics: uniqueness of the functional description will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-557814