T04.2 Atoms in a harmonic trap We consider Nparticles in one dimension in an external potential, K(x)) = mw2 2 x. (to)Write the complete Hamiltonian function for the system. Then calculate the number of micro-states MAND) by means of the semiclassical approach. (b)Calculate the entropy in the thermodynamic limit. (c)Calculate the temperature and the work differential based on the result in part (b)
T04.2 Atoms in a harmonic trap We consider Nparticles in one dimension in an external potential, K(x)) = mw2 2 x. (to)Write the complete Hamiltonian function for the system. Then calculate the number of micro-states MAND) by means of the semiclassical approach. (b)Calculate the entropy in the thermodynamic limit. (c)Calculate the temperature and the work differential based on the result in part (b)
Related questions
Question
Transcribed Image Text:T04.2 Atoms in a harmonic trap
We consider Nparticles in one dimension in an external potential,
mw2
K(x) =
2 X7.
(to)Write the complete Hamiltonian function for the system. Then calculate the number of
micro-states MAND) by means of the semiclassical approach.
(b)Calculate the entropy in the thermodynamic limit.
(c)Calculate the temperature and the work differential based on the result in part (b).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
