For a "particle in a box" of length, L, the wavelength for the nth level is given by An2L%3D2пand the wave function is n(x) = A sin (x) = A sin (x). The energy levels areпп%3Dn?h?given by En :%3D8mL2lPn(x)|2 is the probability of finding the particle at position x in the box. Since theparticle must be somewhere in the box, the integral of this function over the length of thebox must be equal to 1. This is the normalization condition and ensuring that this is thecase is called “normalizing" the wave function.Find the value of A the amplitude of the wave function, that normalizes it.Write the normalized wave function for the nth state of the particle in a box.

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Answered: For a "particle in a box" of length, L,…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 58P

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