merits and demerits of classical and quantum statistics
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Quantum mechanics is a theory that allows us to make predictions about what happens to tiny physics systems, such as individual atoms, and then test these predictions in the lab. So one of the advantages of quantum mechanics is that it is very successful as a theory, in that it is born out by experiment.
One of the disadvantages however is that we don't understand very well how to go from the microscopic world of an individual quantum system to the macroscopic world of ensembles of atoms
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