Spectral properties on a circle with a singularity
Fulop, Tamas ; Tsutsui, Izumi ; Cheon, Taksu
arXiv, 0307002 / Harvested from arXiv
Text on arXiv
We investigate the spectral and symmetry properties of a quantum particle moving on a circle with a pointlike singularity (or point interaction). We find that, within the U(2) family of the quantum mechanically allowed distinct singularities, a U(1) equivalence (of duality-type) exists, and accordingly the space of distinct spectra is U(1) x [SU(2)/U(1)], topologically a filled torus. We explore the relationship of special subfamilies of the U(2) family to corresponding symmetries, and identify the singularities that admit an N = 2 supersymmetry. Subfamilies that are distinguished in the spectral properties or the WKB exactness are also pointed out. The spectral and symmetry properties are also studied in the context of the circle with two singularities, which provides a useful scheme to discuss the symmetry properties on a general basis.
Publié le : 2003-07-01
Classification:  Quantum Physics,  Condensed Matter - Mesoscale and Nanoscale Physics,  Mathematical Physics 
@article{0307002,
     author = {Fulop, Tamas and Tsutsui, Izumi and Cheon, Taksu},
     title = {Spectral properties on a circle with a singularity},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307002}
}

Fulop, Tamas; Tsutsui, Izumi; Cheon, Taksu. Spectral properties on a circle with a singularity. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307002/