Quantum group-symmetric fock spaces with bargmann-fock representation
โ Scribed by Achim Kempf
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 401 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
โฆ Synopsis
SUq(n) symmetric algebras of creation and annihilation operators are represented on a Hflbert space of deformed holomorphic functions. The scalar product on this space is given by an algebraically defined integral. In all calculations the bosonic and the fermionlc case are treated simultaneously.
๐ SIMILAR VOLUMES
Using a similarity transformation that maps the Calogero model into N decoupled quantum harmonic oscillators, we construct a set of mutually commuting conserved operators of the model and their simultaneous eigenfunctions.The simultaneous eigenfunction is a deformation of the symmetrized number stat