Is the Ground State Quantum Number n Equal to 0 or 1?

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SUMMARY

The ground state quantum number for a particle in a box is definitively n = 1. This conclusion is drawn from the equation E = (h(pi)n)^2/(2mL), where h represents Planck's constant, m is the mass of the particle, and L is the length of the box. The quantum number n takes values starting from 1, as indicated by the sequence n = 0, 1, 2..., with n = 0 not applicable in this context. Therefore, for a particle in a box, the lowest energy state corresponds to n = 1.

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cragar
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Homework Statement




when using E=(h(pi)n)^2/(2mL)
h=h bar m= mass of particle L= length

this may be a dumb question but is the ground state 0 or 1 for n
n=0,1,2...
 
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I assume this is a particle in a box in which case you need L2 in the denominator. The ground state is n = 1 for the particle in the box.
 
thanks
 

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