Kronecker products of projective representations of translation groups
| dc.creator | Florek, Wojciech | |
| dc.date | 1997-09-23 | |
| dc.date.accessioned | 2026-07-07T09:12:13Z | |
| dc.date.available | 2026-07-07T09:12:13Z | |
| dc.description | Projective irreps of (Z_N)^2 can be labelled by divisors n of N. A product of two irreps, labelled by n and n', can be decomposed into projective irreps labelled by M, where M strongly depends on the arithmetic structure of N, n, n' and their relations (gcd, lcm etc.). Such decompostion describes two important physical effects: (i) changes of a magnetic period of the crystal lattice (with unchaged crystal period N); (2) each representation can be related with a charged particle moving in an external magnetic field and a periodic potential --- a product of (projective) irreps corresponds to interaction of particles with charges Q and Q', respectively, and the decomposition corresponds to a particle with the charg Q''=Q+Q'. | |
| dc.description | LaTeX 2.09, 7 pages, uses AMSSYM v2.2; presented as a poster at WigSym '97 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9709251 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9709251 | |
| dc.identifier | 5th WigSym, Kasperkovitz, Grau (eds) p.115, World Sci 1998 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151947 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | Kronecker products of projective representations of translation groups | |
| dc.type | text |