Page 138 - PRINCIPLES OF QUANTUM MECHANICS as Applied to Chemistry and Chemical Physics
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Problems 129
4.11 Using only equation (4.43b) and the fact that ^ a is the adjoint of ^ a, prove that
y
hn9j^ pjniÿhnj^ pjn9i
3
4.12 Derive the relations (4.50) for the matrix elements hn9jx jni.
4
4.13 Derive the relations (4.51) for the matrix elements hn9jx jni.
4.14 Derive the result that the degeneracy of the energy level E n for an isotropic
three-dimensional harmonic oscillator is (n 1)(n 2)=2.
