Consider a particle of mass m confined in a three-dimensional cube of length L so small that the motion of the particle is relativistic. Obtain an expression for the allowable energies of the particle in this case. Calculate the ground state energy for an electron if L = 10 fm (10 ^ -5 nm, a typical nuclear dimension)

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Consider a particle of mass m confined in a three-dimensional cube of length L so small that the motion of the
particle is relativistic. Obtain an expression for the allowable energies of the particle in this case. Calculate the
ground state energy for an electron if L = 10 fm (10 ^ -5 nm, a typical nuclear dimension)
Transcribed Image Text:Consider a particle of mass m confined in a three-dimensional cube of length L so small that the motion of the particle is relativistic. Obtain an expression for the allowable energies of the particle in this case. Calculate the ground state energy for an electron if L = 10 fm (10 ^ -5 nm, a typical nuclear dimension)
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