begin mathsize 36px style E equals fraction numerator n squared h squared over denominator 8 m L squared end fraction end style

E= Energy at the nth state; n = quantum number ; h= Plank's constant ; m = mass of the particle;   L= Box length 






The above equation expresses the energy of a particle in nth state which is confined in a 1D box ( a line ) of length L. At the two ends of this line ( at the ends of the 1D box) the potential is infinite. It is to be remembered that the ground state of the particle corresponds to n =1 and n cannot be zero. Further, n is a positive integer.  

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