Duality and anholonomy in quantum mechanics of 1D contact interactions

Authors
Tsutsui, I Fulop, T Cheon, T
Citation
I. Tsutsui et al., Duality and anholonomy in quantum mechanics of 1D contact interactions, J PHYS JPN, 69(11), 2000, pp. 3473-3476
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN journal
00319015 → ACNP
Volume
69
Issue
11
Year of publication
2000
Pages
3473 - 3476
Database
ISI
SICI code
0031-9015(200011)69:11<3473:DAAIQM>2.0.ZU;2-8
Abstract
We study systems with parity invariant contact interactions in one dimensio n. The model analyzed is the simplest nontrivial one -a quantum wire with a point defect- and yet is shown to exhibit exotic phenomena, such as strong vs weak coupling duality and spiral anholonomy in the spectral flow. The s tructure underlying these phenomena is SU(2), which arises as accidental sy mmetry for a particular class of interactions.