Lagrange-D’Alembert Principle and random ODE

[wrobel]

Here is my paper. A criticism and other comments are welcome.

Abstract: The Lagrange-D'Alembert Principle is one of the fundamental tools of classical mechanics. We generalize this principle to mechanics-like ODE in Banach spaces.
As an application we discuss geodesics in infinite dimensional manifolds and a random ODE with nonholonomic constraint.

https://arxiv.org/abs/2112.05276v3

 

[andresB]

Interesting.

In Quantum mechanics, the time evolution given by the Schrödinger equation can be restated as a infinite dimensional (classical) Hamiltonian system (at least for the discrete spectrum case). So I wonder if you could state a Lagrange-D'Alembert principle for QM

I give a review of the above statement in https://arxiv.org/abs/2107.07050