6. Consider a particle moving in a 2D square quantum' well, with well width = L and well depth = ∞. Takepotential well bottom = 0. Which of the following statements is correct, in regard tostate?
(A) The ground state energy is four times as large as that in a 1D quantum well of identical width anddepth.
(B) The ground state energy is 1/4 of the first excited state energy.
(C) The ground state wave function is given by the sum F0(x) + F0(y), ((x,y) = particle position), whereF0 is the ground state wave function in a 1D quantum well of identical width and depth.
(D) The ground state wave function vanishes at the well center.
(E) The ground state wave function is even with respect to the inversion operation (x,y) → (-x,-y).