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

question 9

Multiple Choice

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

• A)has a solution of the form \(\varPsi\) (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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