12 citations · 15 across the 8 of their papers we have counts for
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Fermi's Trick and Symplectic Capacities: A Geometric Picture of Quantum States
Maurice A. de Gosson, Serge M. de Gosson
We extend the notion of quantum blob studied in previous work to excited states of the generalized harmonic oscillator in n dimensions. This extension is made possible by Fermi's o…
Extension of the Conley--Zehnder Index and Calculation of the Maslov-Type Index Intervening in Gutzwiller's Trace Formula
Maurice De Gosson, Serge De Gosson
The aim of this paper is to give an explicit formula for the calculation of the Gutzwiller--Maslov index of a Hamiltonian periodic orbit. We identify the index appearing in Gutzwil…
The Maslov Indices of Hamiltonian Periodic Orbits
maurice de Gosson, Serge de Gosson
We use the properties of the Leray index to give precise formulas in arbitrary dimensions for the Maslov index of the monodromy matrix arising in periodic Hamiltonian systems. We c…
On the Motion of Zeros of Zeta Functions
Hans Frisk, Serge de Gosson
The motion in the complex plane of the zeros to various zeta functions is investigated numerically. First the Hurwitz zeta function is considered and an accurate formula for the di…