Archivio Istituzionale della RicercaA new method is presented to study systems governed by ordinary linear differential equations and partial differential equations whose solutions are waves. We show that one can obtain a differential equation for the Wigner distribution of the solution of a dynamical equation of evolution. As an example we derive in a new way the equation governing the Wigner distribution for the Schrodinger equation. We also consider differential equations where the forcing terms are random processes.
Wigner distribution for ordinary linear differential equations and wave equations / Galleani, Lorenzo; Cohen, L.. - STAMPA. - (2000), pp. 589-593. (Intervento presentato al convegno IEEE SSAP 2000 tenutosi a Pocono Manor, USA nel August 14-16 2000) [10.1109/SSAP.2000.870193].
Wigner distribution for ordinary linear differential equations and wave equations
GALLEANI, Lorenzo;
2000
Abstract
A new method is presented to study systems governed by ordinary linear differential equations and partial differential equations whose solutions are waves. We show that one can obtain a differential equation for the Wigner distribution of the solution of a dynamical equation of evolution. As an example we derive in a new way the equation governing the Wigner distribution for the Schrodinger equation. We also consider differential equations where the forcing terms are random processes.
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https://hdl.handle.net/11583/1663132
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