Question

could anyone help me with this question, please?

How can I get eigenfunctions and eigenvalues for a particle in a one-dimensional box of a length a from time-independent Schrodinger equation?

Answer 1

hint:
we have to solve thie ODE:
\[\huge \frac{{ - {\hbar ^2}}}{{2m}}\frac{{{d^2}\psi }}{{d{x^2}}} = E\psi \]
with these boundary conditions:
\[\huge \psi \left( 0 \right) = \psi \left( a \right) = 0\]

Answer 2

oops.. this* ODE...

Answer 3

hello Michele_Laino,
I am trying to solve it, if i have some problems , i will let you know,
but what do you mean bu ODE

Answer 4

I did it, and I found the answer
Thank you so much

Answer 5

ODE, stands for \(O\)rdinary \(D\)ifferential \(E\)quation