Caroline Lasser, Stephanie Troppmann
Published 2013-03-21, updated 2014-03-12Version 2
The Hermite functions are an orthonormalbasis of the space of square integrable functions with favourable approximation properties. Allowing for a flexible localization in position and momentum, the Hagedorn wavepackets generalize the Hermite functions also to several dimensions. Using Hagedorn's raising and lowering operators, we derive explicit formulas and recurrence relations for the Wigner and FBI transform of the wavepackets and show their relation to the Laguerre polyomials.
Poincaré inverse problem and torus construction in phase space
Why must we work in the phase space?
Generalized Hamilton Function in the Phase Space of Coordinates and Their Multiple Derivatives
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