The generalized Heisenberg group arising from Weyl relations
Tóm tắt
In this paper, we introduce the generalized Weyl operators canonically associated with the one-mode oscillator Lie algebra as unitary operators acting on the bosonic Fock space
$$\Gamma ({\mathbb {C}})$$
. Next, we establish the generalized Weyl relations and deduce a group structure on the manifold
$${\mathbb {R}}^2\times [-\pi , \pi [\times {\mathbb {R}}$$
generalizing the well-known Heisenberg one in a natural way.
Tài liệu tham khảo
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