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Unformatted text preview: Physics 5524 Statistical Mechanics Problem Set 10 Due: Wednesday, Apr. 7 10.1 In 1995 BoseEinstein condensation was realized experimentally for dilute gases of alkali atoms (Li, Na, K, Rb, Cs). Unlike He 4 , these gases are sufficiently dilute to be well described by the ideal Bose gas model. In these experiments, atoms are trapped using inhomogeneous magnetic fields which couple to the atoms through the Zeeman coupling to the unpaired selectron in the out ermost shell. The resulting magnetic trap can be modeled as a threedimensional har monic potential V ( r ) = 1 2 m 2 r 2 for which the singleparticle energy levels are given by E n x ,n y ,n z = h ( n x + n y + n z + 3 / 2). In what follows it is convenient to subtract off the zeropoint energy so that the ground state has energy E = 0 rather than 3 2 h . The energy levels are then E n x ,n y ,n z = h ( n x + n y + n z ) ....
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This note was uploaded on 12/14/2011 for the course PHY 5524 taught by Professor Bonesteel during the Spring '09 term at FSU.
 Spring '09
 Bonesteel
 mechanics, Statistical Mechanics

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