Question

When the Schrodinger equation is solved for E > Vo, the solutions will be __________

(a) Non-oscillatory

(b) Oscillatory Inside

(c) Oscillatory Outside

(d) Oscillatory inside as well as outside

I have been asked this question at a job interview.

This interesting question is from Finite Potential Well in division Quantum Physics of Engineering Physics I

Answer 1

Right choice is (d) Oscillatory inside as well as outside

The explanation: If we solve the time-independent Schrödinger equation for an energy E > Vo, the solutions will be oscillatory both inside and outside the well. Thus, the solution is never square integrable; that is, it is always a non-normalizable state.