You wish to create a three dimensional box that has a continuous energy spectrum

Question

You wish to create a three dimensional box that has a continuous energy spectrum in two dimensions and a discrete energy spectrum in the third dimension. Which of the following statements is true?

A. To do so, one of the box dimensions must be on the order of atomic dimensions.

B. To do so, two of the box dimensions must be large compared to atomic dimensions.

C. To do so, two of the box dimensions must be dimensioned that there are many degenerate energy levels.

D. To do so, two of the box dimensions must be small compared to atomic dimensions.

Explanation / Answer

ANSWER

OOPTION (A) and (B) are correct statements. The dimention along which energy is quantised must be of the order od atomic dimentions. Quantization concept is applicable to atomic dimentions.

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