- #1
noblegas
- 268
- 0
Homework Statement
A particle of mass m moves in one dimension in the following potential well:
V(x)=infinity, x<0 , x>L/3
V(x)=0 , 0<x<L/3
a)Circle the general functional form of the 1st excited wave function phi_1(x) in the region 0<x<L/3. k is a positive constant; A is constant as well;
i) A sin(kx)
ii) A cos(kx)
iii) A exp(kx)
iv) A exp(-kx)
b) use the boundaries conditions to determine k
c)Find A
d)Find the 2nd excited state)
Homework Equations
The Attempt at a Solution
a) I figured out was iv)
b) Not sure what to do here but I will give it a try; A*exp(-k*L/3)-A*exp(-k*0)=0 and A*exp(k*infinty)-A*exp(-k*infinity)=infinity)
c) I would squared phi to get A; (A*exp(-kx))^2=0, x=0...L/3
d) E=n*h*omega, where n=2?
Last edited: