The solution to the TDSE for a certain particle of mass m is: psi(x,t) = A x exp
ID: 1894238 • Letter: T
Question
The solution to the TDSE for a certain particle of mass m is:
psi(x,t) = A x exp(-yx + i (hy*/4 pi m)t) for x>0
=0 for x =0.
where y is real and postive, h is Planck's constant, and A is a normalization constant.
KEY:
*=this is squared.
f). Does the given wave function describe a particle that is bound or unbound?
g). If psi describes a bound particle: which energy state is it in (ground, first, excited, etc.)? If psi describes an unbound particle, what is the expectation value of the momentum?
h). If psi describes a bound particle: consider a beam of light in which each photon has energy equal the binding energy of the particle. Find a formula for the wavelength of the light.
If psi describes an unbound particle: Consider a beam of light in which each photon has momentum equal to the particle's expectation value for momentum. Find a formula for the wavelength of the light.
Explanation / Answer
Hi i have solved this question in my notebook, but i can't type it and post it here because there's no time... please rate me lifesaver and i'll make sure the answer is in your inbox! i don't do this generally but i am doing this due to lack of time...