![]() ![]() ![]() ) SoĪpproximations being extremely close. Quantum energy defined above by a factor. Is extremely close to zero, (it is smaller than the microscopic Macroscopic system of weakly interacting particles in a box, smaller than the classical microscopicĮnergy by the humongous factor. One, hence must come extremely close to the lowest energy level Particles of a macroscopic system, the denominator must becomeĮxtremely small, hence the exponential must become extremely close to In order for this to become a finite fraction of the large number of Macroscopically small energy range is approximately, In continuumĪpproximation, the number of single-particle energy states in a The one exception is the ground state when Bose-EinsteinĬondensation occurs that will be ignored for now. Through 11.3 to be filled in for a concrete case.įor particles in a macroscopic box, the single-particle energy levelsĪre so closely spaced that they can be taken to be continuously Weakly interacting particles in a box. This section applies the ideas developed in the previous sections to 14 Application to Particles in a Box ![]()
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