Graduate Mixed quantum state of the Bose-Einstein distribution

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The discussion centers on the nature of the quantum state associated with the Bose-Einstein distribution, questioning why it is considered mixed rather than pure. Participants seek mathematical proof to support this classification and reference course materials for clarification. There is a call for specific sections in the referenced notes that address the Bose-Einstein distribution directly. The conversation highlights a need for clearer definitions and explanations regarding the mixed state concept in quantum mechanics. Overall, the thread emphasizes the importance of mathematical demonstrations in understanding quantum states.
Bertt
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Why is the quantum state of the Bose-Einstein distribution mixed and not pure? Is there any mathematical proof on this?
 
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Bertt said:
he quantum state of the Bose-Einstein distribution
What quantum state are you talking about? Do you have a reference?
 
Bertt said:
See e.g. these course notes
Where do these notes talk about a Bose-Einstein distribution? What makes you think the "Bose-Einstein distribution" is a mixed quantum state?
 
I am slowly going through the book 'What Is a Quantum Field Theory?' by Michel Talagrand. I came across the following quote: One does not" prove” the basic principles of Quantum Mechanics. The ultimate test for a model is the agreement of its predictions with experiments. Although it may seem trite, it does fit in with my modelling view of QM. The more I think about it, the more I believe it could be saying something quite profound. For example, precisely what is the justification of...

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