Functions analytic on the half-plane as quantum mechanical states
- 1 November 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (11) , 3252-3263
- https://doi.org/10.1063/1.526072
Abstract
A transform between the state space of one-dimensional quantum mechanical systems and a direct sum of two spaces of square integrable functions analytic on the open upper half-plane is constructed. It gives a representation of usual quantum mechanics on which the free evolution is trivial and the representation of canonical transformation very simple. Generalizations to higher dimensions are also discussed.Keywords
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