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Permutation invariant algebras, a Fock space realization and the Calogero model

✍ Scribed by S. Meljanac; M. Mileković; M. Stojić


Publisher
Springer-Verlag
Year
2002
Tongue
English
Weight
225 KB
Volume
24
Category
Article
ISSN
1434-6044

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Symmetric Fock space and orthogonal symm
✍ Akinori Nishino; Hideaki Ujino; Miki Wadati 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 182 KB

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