The Maxwell–Bloch conservative system, which originated in laser optic theory, is a nice, well-known example of a completely integrable mechanical system. Here we show how to separate the system into two subsystems: one with a fish-shaped dynamics and the other which is governed by a central force. The behaviour of the whole system is then easily explained with tools that are more elementary than in previous approaches. The separation of the fish-shaped dynamics is new, and it is obtained in an unconventional way, using nonlocal constants of motion.

Nonstandard separation of variables for the Maxwell–Bloch conservative system

Zampieri, Gaetano
2018-01-01

Abstract

The Maxwell–Bloch conservative system, which originated in laser optic theory, is a nice, well-known example of a completely integrable mechanical system. Here we show how to separate the system into two subsystems: one with a fish-shaped dynamics and the other which is governed by a central force. The behaviour of the whole system is then easily explained with tools that are more elementary than in previous approaches. The separation of the fish-shaped dynamics is new, and it is obtained in an unconventional way, using nonlocal constants of motion.
2018
Completely integrable systems, Maxwell–Bloch with RWA, Nonstandard separation of variables, Nonlocal constants of motion
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/979171
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