26 May, 2026

Here are some thoughts on my situation and that came up from the discussion with Benoit. A ToDo for the coming day.

Also available as a slide deck.

To do!

• start github
• initialize Julia environment for the project
• investigation of ‘How to implement?’ and ‘How to visiualize?’
• simple implementation of various and visualization

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Interests:

• universality -> quantum chaos A Field Theory Approach to Universality in Quantum Chaos
  • random matrix theory?
• phase transitions as models for non-linear systems
• how non-linear systems develop as a function of degrees of freedom

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Issues:

1. low understanding of basic concepts
2. I want to learn by doing, so that I come across basic concepts and problems
3. how to find a model to start?

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talk with Benoit:

• Hénon Heilses Hamiltonian -> classical chaos (connection to Toda potential, integrable)

\[V(x,y)=1/2(x^2+y^2)+x^2y - 1/3 y^3\]

• Heno Heiles model, by Toda potential -> 3D; resulting in Heno Heiles 3D?
• obtaining higher order DOF by taking integral system, pert
• find the models in the books
• computational methods (pioncare cross section)