The discussion revolves around the average occupancy of the lower energy level in a system of bosons within the context of quantum mechanics and Bose-Einstein statistics. The original poster seeks clarification on how to determine this occupancy, particularly as the number of bosons approaches infinity.
The discussion is ongoing, with participants providing insights into the relationship between temperature and energy levels. Some guidance has been offered regarding the use of Bose-Einstein statistics to analyze the problem, but multiple interpretations and questions remain unresolved.
There is an emphasis on the need for additional energy parameters to fully address the occupancy question, and the discussion acknowledges the unique properties of bosons compared to fermions, particularly regarding occupancy of energy levels.
lightgrav said:If the Temperature is zero, then none of the bosons have excess Energy,
so they are ALL in the low Energy Level. If there is a known amount of Energy (or a known average amount per boson) then there must be enough bosons occupying the upper level so that their Energies add up to the total known amount.
In many realistic situations, information about the average Energy per object is given in terms of "Temperature", related via kinetic theory.