set9 - Department of Physics The Ohio State University...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Department of Physics Prof. R. Bundschuh The Ohio State University Ninth Problem Set for Physics 847 (Statistical Physics II) Winter quarter 2004 Important date: Mar 16 9:30am-11:18am Fnal exam Due date: Tuesday, Mar 9 24. Two-level bosons 8 points An ideal Bose-Einstein gas consists of non-interacting bosons of mass m which have an internal degree of freedom which can be described by assuming, that the bosons are two-level atoms. Bosons in the ground state have energy E 0 = p 2 / 2 m , while bosons in the excited state have energy E 1 = p 2 / 2 m + Δ, where p is the momentum and Δ is the excitation energy. Assume that Δ À k B T . a) ±ind an equation for the Bose-Einstein condensation temperature T c for this gas of two- level bosons. (Hint: this equation may not be so easy to actually solve since it involves T c and exp( - β Δ) = exp( - Δ /k B T c ) at the same time.) b) Does the existence of the internal degree of freedom raise or lower the condensation temperature?
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/17/2008 for the course PHYS 847 taught by Professor Bundschuh during the Winter '04 term at Ohio State.

Ask a homework question - tutors are online