English

Stochastic B\"acklund transformations

Probability 2021-03-30 v1 Mathematical Physics math.MP

Abstract

How does one introduce randomness into a classical dynamical system in order to produce something which is related to the `corresponding' quantum system? We consider this question from a probabilistic point of view, in the context of some integrable Hamiltonian systems.

Keywords

Cite

@article{arxiv.1403.5709,
  title  = {Stochastic B\"acklund transformations},
  author = {Neil O'Connell},
  journal= {arXiv preprint arXiv:1403.5709},
  year   = {2021}
}
R2 v1 2026-06-22T03:32:15.242Z