Derivation of the Euler equations from many-body quantum mechanics

Details Derivation of the Euler equations from many-body quantum mechanics Derivation of the Euler equations from many-body quantum mechanics

2002-10-19

arxiv.org/abs/math-ph/0210036v2

Proceedings of the ICM, Beijing 2002, vol. 3, 467--476

Physics

Mathematical Physics

Scientific paper

The Heisenberg dynamics of the energy, momentum, and particle densities for fermions with short-range pair interactions is shown to converge to the compressible Euler equations in the hydrodynamic limit. The pressure function is given by the standard formula from quantum statistical mechanics with the two-body potential under consideration. Our derivation is based on a quantum version of the entropy method and a suitable quantum virial theorem. No intermediate description, such as a Boltzmann equation or semi-classical approximation, is used in our proof. We require some technical conditions on the dynamics, which can be considered as interesting open problems in their own right.

Affiliated with

Also associated with

No associations

Rating

Derivation of the Euler equations from many-body quantum mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Derivation of the Euler equations from many-body quantum mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivation of the Euler equations from many-body quantum mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-197668