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Q1) The eigenfunctions for an infinite square well of the form (0, 0

Q1) The eigenfunctions for an infinite square well of the form (0, 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1) The eigenfunctions for an infinite square well of the form r0, 0 <x <a V (x) = {00, otherwisw are Pn(x) = sin a Suppose a particle in the preceding potential has an initial normalized wave function of the form p(x,0) = A sin calculate the constant A without doing the integral. Q2) Consider the potential well 0, x| <a 10o, otherwisw V(x) = Find the corresponding wave functions and eigenvalues.
Transcribed Image Text:Q1) The eigenfunctions for an infinite square well of the form r0, 0 <x <a V (x) = {00, otherwisw are Pn(x) = sin a Suppose a particle in the preceding potential has an initial normalized wave function of the form p(x,0) = A sin calculate the constant A without doing the integral. Q2) Consider the potential well 0, x| <a 10o, otherwisw V(x) = Find the corresponding wave functions and eigenvalues.
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