Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction

Details Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction

2001-05-15

arxiv.org/abs/quant-ph/0105066v1

Journal of Mathematical Physics 42 (2001) 5687-5697

Physics

Quantum Physics

16 pages, 2 figures

Scientific paper

10.1063/1.1415432

The Schroedinger operator with point interaction in one dimension has a U(2) family of self-adjoint extensions. We study the spectrum of the operator and show that (i) the spectrum is uniquely determined by the eigenvalues of the matrix U belonging to U(2) that characterizes the extension, and that (ii) the space of distinct spectra is given by the orbifold T^2/Z_2 which is a Moebius strip with boundary. We employ a parametrization of U(2) that admits a direct physical interpretation and furnishes a coherent framework to realize the spectral duality and anholonomy recently found. This allows us to find that (iii) physically distinct point interactions form a three-parameter quotient space of the U(2) family.

Affiliated with

Also associated with

No associations

Rating

Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction 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 Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-61806