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Quantum Mechanics with Basic Field Theory by Bipin R. Desai

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32 Klein-Gordon and Maxwell’s equations

32.1 Covariant equations in quantum mechanics

 

Let us now continue our task of obtaining relativistically covariant equations, this time concentrating on quantum mechanics.

The quantum-mechanical operators for energy and momentum are given by

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These are reproduced by the covariant relation

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The wavefunction, ϕ(xμ), now is a function of four variables, xμ = (x, y, z, ct). We will write it simply as ϕ(x). The ...

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