Transformation of coordinates in the field-free total Hamiltonian

Transformation of coordinates in the field-free total Hamiltonian 

When we combine the results of sections 3.6 and 3.10, we can write down a total molecular Hamiltonian in field-free space  

This represents the total field-free Hamiltonian for a diatomic molecule, to order 1/c2 in the purely electronic terms and to order 1 /Mac2 in the nuclear terms, in a space-fixed axis system of arbitrary origin. We showed in chapter 2 that the solution of a Hamiltonian 

Because the unit vectors in the two coordinate systems are also related by the 9kmatrix, it is easy to show that 

Thus the coordinate transformation can be realised simply by making the replacements 

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Transformation of coordinates in the field-free total Hamiltonian [1 113... 

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