Research Notes II, 1949

For Lamb shift

Take the space integral we get

Take the expectation value

For 2S of H¹ : 1050 μc/sec expt'l value : 1060 [μc/sec]

Bethe, P.R. 72, 339 ('47) Feynman P.R. 74, 1430 ('48) Lamb, Kroll P.R. 75, 388 ('49) Weisskopf, French, P.R. 75, 1240 ('49) Luttinger, P.R. 74, 893 (48) Welton, P.R. 74, 1157 (48) Dyson, P.R. 75, 486 [Dyson, P.R. 75,] 1736 (49)

Choose a metric tensor of the form

Contravariant vector A⁰, A¹, A², A³

Covariant vector A₀ = A⁰, A₁ = -A¹, A₂=-A², A₃ = -A³

Constant spinors

Connection between spinor & vector