12 citations · 15 across the 8 of their papers we have counts for
8 papers
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…
A topological theory of Maslov indices for Lagrangian and symplectic paths
M. de Gosson, S. de Gosson
We propose a topological theory of the Maslov index for lagrangian and symplectic paths based on a minimal system of axioms. We recover, as particular cases, the Hoermander and the…
On a product formula for the Conley--Zehnder index of symplectic paths and its applications
Maurice de Gosson, Serge de Gosson, Paolo Piccione
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transform, we prove a product formula for the Conley--Zehnder index of continuous paths…
Squeezed Coherent States and a Semiclassical Propagator for the Schroedinger equation in Phase
Maurice de Gosson, Serge de Gosson
We construct semiclassical solutions of the symplectically covariant Schroedinger phase-space equation rigorously studied in a previous paper; we use for this purpose an adaptation…
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…