On the connection between the Schrodinger and the Heisenberg pictures for unbounded operators

Details On the connection between the Schrodinger and the Heisenberg pictures for unbounded operators On the connection between the Schrodinger and the Heisenberg pictures for unbounded operators

2005-09-10

arxiv.org/abs/quant-ph/0509074v1

Inst. Phys. Conf. Ser. No 185 (2005) 217-221

Physics

Quantum Physics

5 pages; contribution to the XXV group theory colloquium, Cocoyoc (Mexico), August 2004

Scientific paper

It is well known that the unboundedness of operators in Hilbert space entails domain troubles. It is also well known that most domain troubles can be surmounted by extending the Hilbert space to a rigged Hilbert space. In this note, we point out another of such troubles, namely the correspondence between the Schrodinger and the Heisenberg pictures for unbounded operators, and sketch the solution of this problem within the rigged Hilbert space.

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