The wave function for a quantum particle confined to moving in a one-dimensional box located between x = 0 and x = L is ψ(x) = A sin (nπx/L). Use the normalization condition on ψ to show that A = √(2/L).

Name: the wave function for a quantum particle confined to moving in a one dimensional box located between x 0 and x l is x a sin nxluse the normalization condition on to show that a 2l 06867
Uploaded: 2020-06-10T22:11:33-08:00
Duration: 4 min 44 s
Channel: Robert Zaballa
Description: the wave function for a quantum particle confined to moving in a one dimensional box located between x 0 and x l is x a sin nxluse the normalization condition on to show that a 2l 06867

          The wave function for a quantum particle confined to moving in a one-dimensional box located between x = 0 and x = L is ψ(x) = A sin (nπx/L). Use the normalization condition on ψ to show that A = √(2/L).

Added by Iker T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Robert Zaballa

06/10/2020

Step 1

The normalization condition states that the integral of the absolute square of the wave function over the entire range must equal 1: \[ \int_{0}^{L} |\psi(x)|^2 \, dx = 1 \] Show more…

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The wave function for a quantum particle confined to moving in a one-dimensional box located between x = 0 and x = L is ψ(x) = A sin (nπx/L). Use the normalization condition on ψ to show that A = √(2/L).