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Non interacting boson undergoes Bose – Einstein Condensation (BEC) when trapped in a three dimensional isotropic simple harmonic potential. For BEC to occur, the chemical potential must be equal to –
  • a)
  • b)
  • c)
    0
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Non interacting boson undergoes Bose – Einstein Condensation (BE...
Bose - Einstein distribution function is given as,

Here, μ is the chemical potential and 
For Bose - Einstein Condensation, all Bose particles occupy the ground state. Therefore,

taking log both sides, therefore


Substitute the value of β in above equation,

For Bose - Einstein condensation, T must be tends to zero,

For three dimensional harmonic oscillation,

For ground state, n = 0
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Non interacting boson undergoes Bose – Einstein Condensation (BEC) when trapped in a three dimensional isotropic simple harmonic potential. For BEC to occur, the chemical potential must be equal to –a)b)c)0d)Correct answer is option 'A'. Can you explain this answer?
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