Point Interaction Hamiltonians in Bounded Domains

Details Point Interaction Hamiltonians in Bounded Domains Point Interaction Hamiltonians in Bounded Domains

2007-04-24

arxiv.org/abs/0704.3249v2

Physics

Mathematical Physics

18 pages, 3 figures, latex

Scientific paper

10.1063/1.2770672

Making use of recent techniques in the theory of selfadjoint extensions of symmetric operators, we characterize the class of point interaction Hamiltonians in a 3-D bounded domain with regular boundary. In the particular case of one point interaction acting in the center of a ball, we obtain an explicit representation of the point spectrum of the operator togheter with the corresponding related eigenfunctions. These operators are used to build up a model-system where the dynamics of a quantum particle depends on the state of a quantum bit.

Affiliated with

Also associated with

No associations

Rating

Point Interaction Hamiltonians in Bounded Domains 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 Point Interaction Hamiltonians in Bounded Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Point Interaction Hamiltonians in Bounded Domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225913