Answer me this?

Question

Consider a gas of N identical spin-0 bosons confined by an isotropic three-dimensional harmonic oscillator potential. The energy levels in this potential are e=nhf, where n is any nonnegative integer and f is the classical oscillation frequency. The degeneracy of level n is (n+1)(n+2)/2.


(a) Find a formula for the density of states, g(e), for an atom confined by this potential.

(b) Find a formula for the condensation temperature of this system in terms of the oscillation frequency f.

(c) This potential effectively confines particles inside a volume of roughly the cube of the oscillation amplitude. The oscillation amplitude, in turn, can be estimated by setting the particle's total energy (of order kT) equal to the potential energy of the "spring". Making these associations, and neglecting all factors of 2 and pi and so on, show that your answer to part (b) is roughly equivalent to the formula for the condensation temperature of bosons confined inside a box with rigid walls.

Answer 1

I'm not one for equations,but I do know if you take a carton of beer,chill it to 2deg C,get some snacks and relax,the universe will open up to you!!!.LOL

Answer 2

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Answer 3

In the time it took you to type in your homework problem, you could have finished the problem and gotten on to consuming the chilled beer mentioned by a previous answerer.

Answer 4

U should ask ur teacher.this question is too difficult

Answer 5

You've got to be kidding me !!!