In Three Dimensions, the Schrödinger Equation for the Infinite Square-Well $\Psi$

question 37

Multiple Choice

In three dimensions, the Schrödinger equation for the infinite square-well potential

• A) has a solution of the form \(\Psi\)(x,y,z) = A sin k₁x sin k₂y sin k₃z, where the k's are wave numbers and the constant A is determined by normalization.
• B) predicts energy states described by .
• C) predicts energies and wave functions that are characterized by three quantum numbers.
• D) allows multiple quantum states corresponding to the same energy level.
• E) All of these are true.

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