Compute all parts of following problem:
Problem: An electron is free move only along the x axis and is attracted to x=0 by harmonic potential with angular frequency of 1.9 eV/h.
Part A: What is the lowest energy the electron can have?
Part B: If the electron is in a state with 10.45 eV energy, what is the largest energy it could radiate by falling to a lower energy level?
Part C: What is the lowest energy of radiation which that electron in the 1045eV energy level could absorb?
Part D: What is the parity of the wave function for the 1045 eV energy level?
Part E: What is the classical turning point for an electron in the 10.45 eV energy level?
Please use great detail in explaining the solution for above problem. Thank you.