On the Goodness of “quantum Blobs” as Symplectic Invariant Quantum Cells
نویسنده
چکیده
We introduce a notion of quantum cell which is invariant under linear canonical transformations. These cells, which we dub “quantum blobs”, have the essential and characteristic property that their intersection with any plane of conjugate coordinates passing through their center is an ellipse with area equal to one-half of the quantum of action. We show that this notion is particularly suitable for expressing various quantum mechanical properties, including a new geometric setting for the Weyl–Wigner–Moyal formalism.
منابع مشابه
Quantum Blobs
Quantum blobs are the smallest phase space units of phase space compatible with the uncertainty principle of quantum mechanics and having the symplectic group as group of symmetries. Quantum blobs are in a bijective correspondence with the squeezed coherent states from standard quantum mechanics, of which they are a phase space picture. This allows us to propose a substitute for phase space in ...
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