Quantum Systems and Alternative Unitary Descriptions

Details Quantum Systems and Alternative Unitary Descriptions Quantum Systems and Alternative Unitary Descriptions

2003-12-03

arxiv.org/abs/quant-ph/0312033v1

Physics

Quantum Physics

18 pages

Scientific paper

10.1142/S0217751X04018385

Motivated by the existence of bi-Hamiltonian classical systems and the correspondence principle, in this paper we analyze the problem of finding Hermitian scalar products which turn a given flow on a Hilbert space into a unitary one. We show how different invariant Hermitian scalar products give rise to different descriptions of a quantum system in the Ehrenfest and Heisenberg picture.

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