1. On the previous sheet you found an exact expression for the chemical potential as a function of temperature for a 2D
Posted: Wed May 18, 2022 5:07 pm
1. On the previous sheet you found an exact expression for the chemical potential as a function of temperature for a 2D non-relativistic spin-0 boson gas, moving freely in an area A, of number density o = N/A: mkbT = kRT In exp 21ħ2 Show this can also be written u = kpT In [1 – exp(-7)], and find an expression for To. Sketch this as a function of T at fixed o, paying attention to the low-T behaviour. Does Bose- Einstein condensation occur in this system? v = kylln (1-cap (2 where OQ 2