Answered: The "particle-in-a-box" problem… | bartleby

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The "particle-in-a-box" problem consists of a particle of mass, m, contained
within a one-dimensional well potential of length, L, for which the potential
energy is zero for 0 < x< L, and infinite elsewhere. The allowed
wavefunctions and energy levels of such a particle are given by the
expressions:
.2
NITX
Pn = 12/, sin
; En
2m L2
State, giving reasons, the allowed values of the quantum number, n.

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