- #1

Fourier mn

## Homework Statement

A particle of mass m and E<V

_{0}approaches from the left and encounters a potential barrier, assume the amplitude of the incoming particle is A.

Write the time independent wavefunction for x>0 and x>0 at t=0 E is definite.

Find the reflection coefficient of the particle.

## Homework Equations

R=(abs(A

_{r})

^{2}/abs(A

_{i})

^{2})

## The Attempt at a Solution

for x<0 where the potential is 0, [tex]\Psi(x)[/tex]=Aexp(-[tex]\alpha[/tex]x)

and where x>0 where the potential is >E, [tex]\Psi(x)[/tex]=Acos(k

_{0}x)

is it correct? does both of the amplitudes are the same?