Quantum States and Hardy’s Formulation of the Uncertainty Principle : a Symplectic Approach
نویسندگان
چکیده
We express the condition for a phase space Gaussian to be the Wigner distribution of a mixed quantum state in terms of the symplectic capacity of the associated Wigner ellipsoid. Our results are motivated by Hardy’s formulation of the uncertainty principle for a function and its Fourier transform. As a consequence we are able to state a more general form of Hardy’s theorem. MSC 2000 Classification: 81S10, 81S30, 37J05
منابع مشابه
The Multi-Dimensional Hardy Uncertainty Principle and its Interpretation in Terms of the Wigner Distribution; Relation With the Notion of Symplectic Capacity
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تاریخ انتشار 2008