Consider a particle of mass m conned in a one-dimensional

Chapter 31, Problem 86

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Consider a particle of mass m conned in a one-dimensional box of length L. In addition, suppose the matter wave associated with this particle is analogous to a wave on a string of length L that is xed at both ends. Using the de Broglie relationship, show that (a) the quantized values of the linear momentum of the particle areand (b) the allowed energies of the particle are

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