1. The problem statement, all variables and given/known data In Uniform Acceleration Motion, the force F is constant. then potential V(x)=Fx, and Hamiltonian H=(p^2/2m)-Fx The problem is to solve the eigenvalue problem Hpsi(x)=Epsi(x) 2. Relevant equations F=constant V(x)=Fx H=(p^2/2m)-Fx 3. The attempt at a solution I have tried to compare classical mechanics and quantum mechanincs. but, my QM textbook don't mention about uniformly acceleration motion. I had hard time to solve it during this weekend. but I get lost the direction to solve it. I think that this problem is mathematically messy. please give me the direction to solve this problem.