- #1
gn0m0n
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Homework Statement
This is from an old exam I'm studying from. It goes:
"A particle of mass m is traveling in one dimension under the influence of a potential
V = -Fx
where F is a known constant. Find the energy spectrum and wavefunctions.
Hint: You may want to work in momentum space, but do not have to."
Homework Equations
Schrodinger eqn, other fundamental quantum relations
The Attempt at a Solution
I solved for the momentum space wave function and got an exponential solution ~ exp[(i/hF)(p^3-E*p)], I think, or something much like that. But how can I find an energy spectrum when I don't seem to have any boundary conditions? It does not say anything about, say, an infinite potential for x < 0 or anything.
I also tried using
d<p>/dt= <-dV/dx>
but that didn't seem to help.
It seems like the energy could be anything. Could that be all I need to say? And what about the wave functions?
It just seems like a weird problem. I'm wondering if there could have been a typo or something obvious I'm missing. I can post more of my work if it will help.