 #1
 661
 16
 Homework Statement:
 Find energies and states of particle that move in the potential ##V(x)=\lambda \delta(x)##. If ##E<0##.
 Relevant Equations:

Equation
##\frac{\hbar^2}{2m}\frac{d^2}{dx^2}\psi(x)+V(x)\psi(x)=E\psi(x)##
where ##V(x)=\lambda \delta(x)##.
I am confused here. For ##x>0## particle is free and for ##x<0## particle is free. That I am not sure how we can have bond states. If particle is in the area ##x>0## why it feel ##\delta##  potential at ##x=0##. Besides that, I know how to solve problem. But I am confused about this.
If we have the case of motion of a particle through a potential barrier, the particle is after that free. It does not feel the influence from the potential behind it. Could you please explain this?
If we have the case of motion of a particle through a potential barrier, the particle is after that free. It does not feel the influence from the potential behind it. Could you please explain this?