Gauge fields, point interactions and few-body problems in one dimension

Details Gauge fields, point interactions and few-body problems in one dimension Gauge fields, point interactions and few-body problems in one dimension

2004-06-22

arxiv.org/abs/quant-ph/0406158v1

Rept.Math.Phys. 53 (2004) 363-370

Physics

Quantum Physics

7 pages

Scientific paper

10.1016/S0034-4877(04)90023-7

Point interactions for the second derivative operator in one dimension are studied. Every operator from this family is described by the boundary conditions which include a $ 2 \times 2 $ real matrix with the unit determinant and a phase. The role of the phase parameter leading to unitary equivalent operators is discussed in the present paper. In particular it is shown that the phase parameter is not redundant (contrary to previous studies) if non stationary problems are concerned. It is proven that the phase parameter can be interpreted as the amplitude of a singular gauge field. Considering the few-body problem we extend the range of parameters for which the exact solution can be found using the Bethe Ansatz.

Affiliated with

Also associated with

No associations

Rating

Gauge fields, point interactions and few-body problems in one dimension 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 Gauge fields, point interactions and few-body problems in one dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge fields, point interactions and few-body problems in one dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670035