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quant-ph2011
On the Fermi Function of Squeezed Coherent States
Maurice A. de Gosson
Fermi observed in 1930 that the state of a quantum system may be defined in two different (but equivalent) ways, namely by its wavefunction or by a certain function on ph…
math-ph2011
Symplectic Covariance Properties for Shubin and Born-Jordan Pseudo-Differential Operators
Maurice A. de Gosson
Among all classes of pseudo-differential operators only the Weyl operators enjoy the property of symplectic covariance with respect to conjugation by elements of the metaplectic gr…
math-ph2011★ 2 cited
Preferred Quantization Rules: Born-Jordan vs. Weyl: the Pseudo-Differential Point of View
Maurice de Gosson, Franz Luef
There has recently been evidence for replacing the usual Weyl quantization procedure by the older and much less known Born-Jordan rule. In this paper we discuss this quantization p…