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ANALYSIS & PIE Volume 17No. 52024L O M ORIN A SEMICLASSICAL KICKOFF NORMAL FORM FOR CONSTANTINE MAGNETIC FIELDSmspANALYSIS AND PIE Vol. 17 (2024), No. 5, pp. 15931632mspDOI: 10.2140/apde.2024.17.1593A

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How to fill out a semiclassical birkhoff normal

01

Start by defining the classical orbit and its conjugate momentum.

02

Calculate the action variables using the classical orbit and momentum.

03

Express the action variables as a sum of periodic orbits contributions.

04

Use the semiclassical approximation to the action variables to fill out the semiclassical Birkhoff normal form.

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Physicists and mathematicians studying Hamiltonian systems and integrable systems.

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What is a semiclassical birkhoff normal?

A semiclassical Birkhoff normal is a mathematical concept used in classical mechanics to describe the behavior of trajectories in phase space.

Who is required to file a semiclassical birkhoff normal?

Only individuals or entities involved in advanced physics research or theoretical studies would be required to file a semiclassical Birkhoff normal.

How to fill out a semiclassical birkhoff normal?

To fill out a semiclassical Birkhoff normal, one would need to have a strong understanding of classical mechanics and mathematical concepts such as phase space.

What is the purpose of a semiclassical birkhoff normal?

The purpose of a semiclassical Birkhoff normal is to analyze and predict the behavior of trajectories in phase space in classical mechanics.

What information must be reported on a semiclassical birkhoff normal?

Information such as initial conditions, equations of motion, and boundary conditions must be reported on a semiclassical Birkhoff normal.

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