(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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."

2. Relevant equations

Schrodinger eqn, other fundamental quantum relations

3. 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: QM: with V = -x

**Physics Forums | Science Articles, Homework Help, Discussion**