01/05
can photons undergo Bose-Einstein condensation? Explain.
what is the Gibbs canonical distribution for a quantum system and its normalisation condition? Write Helmholtz free energy in terms of the partition function.
01/05 can photons undergo Bose-Einstein condensation? Explain. what is the Gibbs canonical distribution for a quantum system and its normalisation condition? Write Helmholtz free energy in terms of th...
3. Derive the following relationship between the Helmholtz free energy F and the partition function Z for a system of N particles: (a) Starting with the thermodynamic definition F-U-TS, substitute the statistical mechanics results which give U and S in terms of occupation numbers n, state energies e and the most probable number of microstates t* to find, (b) Write out texplicitly in terms of occupation numbers using Stirling's approxima- tion (check the Lagrange multiplier derivation of the Boltzmann distribution)...