Molecular Quantum Electrodynamics by Craig D. P.; Thirunamachandran T.; & T. Thirunamachandran

Author:Craig, D. P.; Thirunamachandran, T.; & T. Thirunamachandran
Language: eng
Format: epub
ISBN: 1894731
Publisher: Dover Publications
Published: 2012-10-07T16:00:00+00:00

The even part of the integrand alone contributes, giving

(7.3.5)

which after angular integration as in Section 7.2 becomes

(7.3.6)

The principal value is required as before. There is the important difference that the final term of the integrand has an additional pole at p = 0. This pole gives a wholly non-retarded contribution which exactly cancels the electrostatic contribution (7.3.2). The p-dependent part of the final term of (7.3.6), namely

(7.3.7)

becomes, in terms of the complex variable z = pR,

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