3. Consider an ideal gas of bosons of (number) density n in a large three-dimensional volume V (the total number of bosons is thus N dispersion relation nV). Assume that the bosons obey the = a\p]* , where the exponent a > 0. Calculate the Bose-Einstein condensation temperature Te as a function of the density n. In what range of a can Bose-Einstein condensation occur?

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3. Consider an ideal gas of bosons of (number) density n in a large three-dimensional volume
V (the total number of bosons is thus N =
dispersion relation
nV). Assume that the bosons obey the
= a\p]ª ,
where the exponent a > 0. Calculate the Bose-Einstein condensation temperature Te as a
function of the density n. In what range of a can Bose-Einstein condensation occur?
Transcribed Image Text:3. Consider an ideal gas of bosons of (number) density n in a large three-dimensional volume V (the total number of bosons is thus N = dispersion relation nV). Assume that the bosons obey the = a\p]ª , where the exponent a > 0. Calculate the Bose-Einstein condensation temperature Te as a function of the density n. In what range of a can Bose-Einstein condensation occur?
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