- #1
jahaition
- 3
- 0
Homework Statement
Infinite Potential Barrier
particle moving in one dimension is incident upon a potential barrier given by V (x) = Gδ(x) where δ(x) is the Dirac delta function and G is a constant with units of energy times distance. (The delta function must have units of inverse distance because its integral is unity.)
1. Solve the time independent Schrodinger equation to find the wavefunctions uE(x) in the two regions x < 0 and x > 0. Be sure to define all your variables.
2.Write down (but do not yet solve) the two matching conditions at x = 0 in terms of the various wavefunction amplitudes
3.Solve the two equations and find the reflection and transmission coefficients for the barrier in terms of the energy of particle and the constant G.
Homework Equations
The Attempt at a Solution
1. U=Ae^ikx + Be^-ikx, x<0
U=Ce^kx + De^-kx, x>0
Last edited by a moderator: