Homework Statement
A particle with mass m and electric charge e is confined to move in one dimension along the x -axis. It experiences the following potential:
##V(x) = {\infty}## for ## x{\lt0}##
##V(x) = -e^2/4\pi\epsilon_0x## for ## x \geq 0 ##
(Note: the way the question is written down...
The next part of the question reads:
For the region x is greater than or equal 0, by substituting in the Schrodinger equation, show that the wave function u(x) = Cxexp(-αx) can be a satisfactory solution of the Schrodinger equation so long as the constant α is suitably chosen. Determine the...
Yes, I've not come across a potential before the goes from infinity to an actual potential, how would a wavefunction exist in this potential, the wavefunction obviously wouldn't where the potential is infinity and I imagine it would be exponential decay for the second region but I've never come...
A particle with mass m and electric charge e is confined to move in one dimension along the x -axis. It experiences the following potential: x<0 V(x) = infinity, x>=0 V(x) = e^2/4*pi*ε0*x