Can Five Spin-2 Particles Occupy the Same Energy Level?

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A particle with a spin number of 2 is classified as a boson, allowing an unlimited number of such particles to occupy the same energy level. This contrasts with fermions, which adhere to the Pauli exclusion principle and can only occupy distinct energy states. The spin vector's component can take on five possible values, but this does not restrict the number of particles at a single energy level. Therefore, five spin-2 particles can indeed coexist in the same energy state without limitation. This highlights the fundamental difference between bosonic and fermionic behavior in quantum mechanics.
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Homework Statement


If i am given a particle whose spin number is 2. does that mean that 5 of these particles can occupy a single energy level?


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The Attempt at a Solution

 
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No (if what you mean is that only five can occupy an energy level). A particle with spin number 2 would be a boson (because 2 is an integer) and therefore there would be no limit on the number of such particles occupying a single energy level (the limit arises from Fermi-Dirac statistics).
 
ENgez said:

Homework Statement


If i am given a particle whose spin number is 2. does that mean that 5 of these particles can occupy a single energy level?


Homework Equations





The Attempt at a Solution


What it means is that the component of its spin vector along a fixed direction can take 5 possible values.
 
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