Which of the following statements is true? A.The total energy eigenfunctions for

Question

Which of the following statements is true?

A.The total energy eigenfunctions for rotation in three dimensions can be written in the form Y(, ) = ()() because the potential energy is independent of the angles and .

B.Two quantum numbers are needed to characterize the eigenfunctions for rotation in two dimensions, whereas three quantum numbers are needed to characterize the eigenfunctions for rotation in three dimensions.

C.Because the operators Equation, , and Equation commute, the z-axis describes a preferred direction in space.

D.The angular momentum vector for 3-D rotation has three components.

1. A and B 2. A and D 3. B and D 4. B and C

Explanation / Answer

B: R(r) shows variation along radial direction and () along azimuthal direction, while () along direction in spherical coordinates.

D: Yes Lx,y,z. are three different components ofangularmomentum along respective directions

So, 3 is right.

B AND D ARE TRUE.

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