On boson algebras as Hopf algebras

Abstract

Certain types of generalized undeformed and deformed boson algebras which admit a Hopf algebra structure are introduced, together with their Fock-type representations and their corresponding $R$-matrices. It is also shown that a class of generalized Heisenberg algebras including those algebras including those underlying physical models such as that of Calogero-Sutherland, is isomorphic with one of the types of boson algebra proposed, and can be formulated as a Hopf algebra.

LaTex, 18 pages

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Cited by in corpus (4)

• Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map
• The Dirichlet Hopf algebra of arithmetics
• Coherent and squeezed states of quantum Heisenberg algebras
• Generalized boson algebra and its entangled bipartite coherent states