J. Sucher, Relativistic invariance and the square-root Klein-Gordon equation, Jour. Math. Phys. 4 (1963), 17-23  Home/Search   Document Not in Database   Summary   Related Articles

....for the Hydrogen atom, Dirac rejected the equation: p Gamma Delta m 2 Gamma e 2 =r)f = Ef , which is the first natural attempt to a relativistic generalization of the Schrodinger equation. The reason was that it is not invariant under Lorentz transformations (see the discussion in [16]) Now, the analogue of this equation in our models is (61) which indeed cannot 20 satisfy such an invariance, because it has been obtained in a given referential frame (what is more, Q is not an ordinary momentum, because k Qk is Lorentz invariant) In fact the relativistic equation is ....

J. Sucher, Relativistic invariance and the square-root Klein-Gordon equation, Jour. Math. Phys. 4 (1963), 17-23

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