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Unformatted text preview: Answer: The generic expression for the energy is E n x n y n z = 2 n x + 2 n y + 2 n z + 3 2 h or deFning N = n x + n y + n z , E n x n y n z = 2 N + 3 2 h Now for the bottom level, N = 0, and since the three quantum numbers n x , n y , and n z cannot be negative, the only way that N = n x + n y + n z can be zero is if all three numbers are zero. If any one of n x , n y , or n z would be positive, then so would be N . So there is only one state n x = n y = n z = 0. or the second energy level, N = 1. To get a nonzero sum N , you must have one of n x , n y , and n z to be nonzero, but not more than 1, or N would be more than 1 too. Also, if one of...
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This note was uploaded on 01/06/2012 for the course PHY 3604 taught by Professor Dr.danielarenas during the Fall '11 term at UNF.
 Fall '11
 Dr.DanielArenas
 mechanics, Energy

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