P10.6 Consider a charged particle of mass m in a SHO potential but which is also…

P10.6 Consider a charged particle of mass m in a SHO potential but which is also subject to an external electric field E. The potential for this problem is now given by where q is the charge of the particle. terms of the standard SHO solutions. Hint: Complete the square. Find the new eigenfunctions and energy eigenvalues. Show that for a particular value of E the ground state Does this mean that there is no zero point energy in this case? Evaluate (x) and (p). What are the new momentum space wavefunctions? Can you evaluate in this represent blem completely soluble in energy can be made to vanish (f) and (p) (b) (c) (d) (e)