Question 01: Consider a 1-dimensional quantum system of one particle in which the particle is under a potential V(x) = }mw?a?, with m being the mass of the particle and w being a parameter (you may take it as angular fre- quency) with inverse dimension of time. The particle may be found in the region -00 < x < 0o. • Varify that the lowest two states of the system are mutually orthonormal.

Question 01: Consider a 1-dimensional quantum system of one particle in which the particle is under a potential V(x) = }mw?a?, with m being the mass of the particle and w being a parameter (you may take it as angular fre- quency) with inverse dimension of time. The particle may be found in the region -00 < x < 0o. • Varify that the lowest two states of the system are mutually orthonormal.