Bose gas of sodium

  • #1

Homework Statement


3: When the temperature is increased slightly above T = 0, it is self-consistent to assume to that the chemical potential stays \mu(T) = 0, as long as there is a macroscopic number N0 oscillators in the ground state (You should not prove this!). The N atoms in the system are distributed with N0 in the ground state and the residual N-N0 particles in the excited state. Show that

N-N0 eq.PNG


When the temperature is increased, N0 gradually disappears. Show that this happens at a critical temperature T_C and calculate the value of T_C. Also, show that N0 diminishes according to the law

N0.PNG



Homework Equations


N.PNG



The Attempt at a Solution



N-N0.PNG
 

Answers and Replies

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