Why is it important that a basis set for a wavefunction be complete and orthogon

Question

Why is it important that a basis set for a wavefunction be complete and orthogonal?

a. A complete, orthogonal basis set is used to guarantee that the wavefunction is not a function of complex numbers.

b. A complete, orthogonal basis set is the smallest set, which completely describes every possible wavefunction for the system.

c. A complete, orthogonal basis set ensures that the computed eigenvalues are not complex numbers.

d. A complete, orthogonal basis set ensures that the total probability density of the wavefunction is equal to 1.

Explanation / Answer

b. A complete, orthogonal basis set is the smallest set, which completely describes every possible wavefunction for the system.

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