Homework Statement
Hi guys, I'm having trouble understanding the finite potential well, in particular the boundary conditions
The well under scrutiny has potential
V(x)= 0 for |x|<a
and
V(x)=V_0 for >a
Homework Equations
\frac{d^2\psi}{dx^2}=-\sqrt{\frac{2mE}{\hbar^2}}\psi=-\alpha^2\psi...
I would understand if the equation was multiplied by 2 but its multipied by 1/2 as the fraction in the end equation is
\frac{n\pi}{4a},
and the integral inside is multiplied by 1/2 so the identity doesn't apply right?
or am i missing something stupidly obvious?
Homework Statement
The problem is finding the average value of momentum in an infinite potential well but the theory I understand, its the mathematical execution I'm having trouble with.
Homework Equations
The expectation value for the momentum is found using the conjugate formula...