These functions are eigenfunctions corresponding to the operator d^2/dx^2
What is the eigenvalue corresponding to
1. sin(2pix/a)
wave functions
The logic is very simple, sin(2pix/a) [a is a constant] is an eigen function, d^2/dx^2 is an operator operating on the eigen function to generate an eigen value(you need this) and the same Eigen function. In other words
Operator operating on Eigen function = Eigen value * same Eigen function
Therefore,
d^2/dx^2 sin(2pix/a) = ?(4pi^2/a^2)?sin(2pix/a)
?(4pi^2/a^2) is your eigen value
If you need help with the dfferentiation, just comment and I will help .
CHEERS, please rate if you like it and comment if in doubt :)
These functions are eigenfunctions corresponding to the operator d^2/dx^2 What is the eigenvalue corresponding to 1....
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