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Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems

G. Marmo·G. Scolarici·A. Simoni·F. Ventriglia
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Abstract

We discuss the alternative algebraic structures on the manifold of quantum states arising from alternative Hermitian structures associated with quantum bi-Hamiltonian systems. We also consider the consequences at the level of the Heisenberg picture in terms of deformations of the associative product on the space of observables.

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G. Marmo, G. Scolarici, A. Simoni, F. Ventriglia. 2005-07-25. Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems. https://arxiv.org/abs/quant-ph/0507233

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