PPT Slide

A particle is confined to a three-dimensional box that has sides L1, L2 = 2L1, and L3 = 3L1. Give the quantum numbers n1, n2, n3 that correspond to the lowest ten quantum states of this box.

E = (h2/8mL12 )(n12 + n22/4 + n32/9)

= (h2/288mL12 )(36n12 + 9n22 + n32 ).

The energies in units of h2/288mL12 are listed in the following table.

n1 n2 n3 E

1 1 1 49

1 1 2 61

1 2 1 76

1 1 3 81

1 2 2 88

1 2 3 108

1 1 4 109

1 3 1 121

1 3 2 133

1 2 4 136

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