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Unformatted text preview: ) = B (independent oF ǫ ) and fnd B . (c). In one dimension, show that ρ ( ǫ ) = Cǫ1 / 2 and fnd C . 2. Pathria, Prob. (7.2). However, just veriFy that the virial expansion is valid through ℓ = 2, and derive the frst two virial coe±cients, a 1 and a 2 . 3. Pathria,Prob. (7.13). Omit the part oF the problem beginning “Refne your argument. ..” In proving the absence oF BoseEinstein condensation in two dimensions, consider the limit A → ∞ , N → ∞ , but N/A a fnite constant. 4. (20 pts.) Pathria, Prob. (7.14). Interpret the sentence beginning “Discuss. ..” to mean “²or which values oF n and s does BoseEinstein condensation occur at a nonzero temperature?” Replace the phrase “Study the thermodynamic behavior oF the system and show that, quite generally,. ..” by “Show that, quite generally,. ..” 1...
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This note was uploaded on 07/15/2011 for the course PHYSICS 847 taught by Professor Stroud during the Spring '10 term at Ohio State.
 Spring '10
 STROUD
 Physics, Energy

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