# Talk:Quantum hard spheres

## Path integral formulation[edit]

Dear 62.204.197.227,

The references concerning path integrals have been moved to the path integral formulation page. -- **Carl McBride** (talk) 18:35, 16 October 2007 (CEST)

## hbar expansion?[edit]

Circa 2005 I saw a presentation on a quantum "gas in a box". The primary ingredient was an expansion to first-order in hbar. The primary result was that wave functions were space-filling fractals. If one starts at t=0 with all of the gas on one side of the box, then the wave functions interfere destructively on the empty side. Since time evolution is unitary, and the gas is a mix of energies, the result is that at time t>0 the wave functions decohere and start to fill the empty side. Thus, to first order in hbar, the system appears to be ergodic. Did anyone else see this lecture? Anyone have references to this? Search engines cannot find it. 67.198.37.16 18:55, 1 February 2024 (CET)