{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

probset10

# probset10 - Physics 5524 Statistical Mechanics Problem Set...

This preview shows pages 1–2. Sign up to view the full content.

Physics 5524 Statistical Mechanics Problem Set 10 Due: Wednesday, Apr. 7 10.1 In 1995 Bose-Einstein 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 s -electron in the out- ermost shell. The resulting “magnetic trap” can be modeled as a three-dimensional har- monic potential V ( r ) = 1 2 2 0 r 2 for which the single-particle energy levels are given by E n x ,n y ,n z = ¯ 0 ( n x + n y + n z + 3 / 2). In what follows it is convenient to subtract off the zero-point energy so that the ground state has energy E = 0 rather than 3 2 ¯ 0 . The energy levels are then E n x ,n y ,n z = ¯ 0 ( n x + n y + n z ) . The total number of bosons N for such a harmonically confined gas is given by the usual sum over Bose occupation factors, N = n x ,n y ,n z n ( E n x ,n y ,n

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern