Skip to main content
eScholarship
Open Access Publications from the University of California

A Noether theorem for Markov processes

  • Author(s): Baez, JC
  • Fong, B
  • et al.

Published Web Location

http://arxiv.org/abs/1203.2035
No data is associated with this publication.
Abstract

Noether's theorem links the symmetries of a quantum system with its conserved quantities, and is a cornerstone of quantum mechanics. Here we prove a version of Noether's theorem for Markov processes. In quantum mechanics, an observable commutes with the Hamiltonian if and only if its expected value remains constant in time for every state. For Markov processes that no longer hold, but an observable commutes with the Hamiltonian if and only if both its expected value and standard deviation are constant in time for every state. © 2013 American Institute of Physics.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Item not freely available? Link broken?
Report a problem accessing this item