KMS States on the Square of White Noise Algebra

Details KMS States on the Square of White Noise Algebra KMS States on the Square of White Noise Algebra

2002-08-11

arxiv.org/abs/quant-ph/0208070v1

Physics

Quantum Physics

14 pages

Scientific paper

It was shown in [AFS00] that there are only three types of irreducible unitary representations theta of sl_2. Using the Schurmann triple one can associate with each theta a number of representations of the square of white noise (SWN) algebra A. However, in analogy with the Boson, Fermion and q-deformed case, we expect that some interesting non irreducible representations of sl_2 may result in GNS representations of KMS states associated with some evolutions on A. In the present paper determine the structure of the *--endomorphisms of the SWN algebra, induced by linear maps in the 1--particle Hilbert algebra, we introduce the SWN analogue of the quasifree evolutions and find the explicit form of the KMS states associated with some of them.

Affiliated with

Also associated with

No associations

Rating

KMS States on the Square of White Noise Algebra 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 KMS States on the Square of White Noise Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and KMS States on the Square of White Noise Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-425882