Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems

Details Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems

2005-07-25

arxiv.org/abs/quant-ph/0507233v1

Int.J.Geom.Meth.Mod.Phys. 2 (2005) 919-938

Physics

Quantum Physics

Accepted for publication in Int. J. Geom. Meth. Mod. Phys

Scientific paper

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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