On the Fermi Function of Squeezed Coherent States

2011/07/25 by Maurice A. de Gosson, de Gosson, Maurice A.
Physics and Astronomy · #FOS: Physical sciences #Force Microscopy Techniques and Applications #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #NA #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1107.5010

openalex publication_date 2011/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Fermi observed in 1930 that the state of a quantum system may be defined in two different (but equivalent) ways, namely by its wavefunction Ψ or by a certain function g_F on phase space canonically associated with Ψ. In this Note we study we study Fermi's function when Ψ is a squeezed coherent state. We relate it with the Wigner transform of Ψ, thus generalising a previous observation of Benenti and Strini. We show that the symplectic capacity of the phase space ellipsoid g_F(x,p)≤0 is bounded by h/2 and nh/2 (n the number of degrees of freedom).

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