V. B. Berestetskii, E. M. Lifshitz and L. P. Pitaevskii, Quantum Electrodynamics, Course of Theoretical Physics Vol. 4, 2nd Edition, Pergamon Press, Oxford, 1982  Home/Search   Document Not in Database   Summary   Related Articles   Check

....(1.2) to the Pauli equation. Mathematically rigorous (but, inevitably, more restrictive) results are presented in Section 7. Finally, in Section 8 we point out the remarkable similarity between (1.2) and the Maxwell equations. 2 Elton, Vassiliev 2. Principal notation Our notation mostly follows [LL4], with minor modifications. By M n we denote Minkowski n space with temporal coordinate x 0 , spatial coordinates (x 1 ; x n Gamma1 ) and metric g = diag( 1; Gamma1; Gamma1) By R m we denote Euclidean m space with spatial coordinates (x 1 ; x m ) and ....

....1 0 ; oe 2 = 0 Gammai i 0 ; oe 3 = 1 0 0 Gamma1 ; and by fl = fl 0 ; fl 1 ; fl 2 ; fl 3 ) the vector of Dirac matrices. In Sections 3 and 4 we use the spinor representation of bispinors as opposed to the more common standard representation (see Section 21 of [LL4] for details) consequently the Dirac matrices appearing in these sections are fl 0 = 0 I I 0 ; fl = 0 Gammaoe oe 0 ; 1; 2; 3: The Dirac equation without spinors 3 3. A tensor interpretation of bispinors A bispinor in M 4 is a set of four complex numbers ....

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V. B. Berestetskii, E. M. Lifshitz and L. P. Pitaevskii, Quantum Electrodynamics, Course of Theoretical Physics Vol. 4, 2nd Edition, Pergamon Press, Oxford, 1982

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V. B. Berestetskii, E. M. Lifshitz and L. P. Pitaevskii, Quantum Electrodynamics, Course of Theoretical Physics Vol. 4, 2nd Edition, Pergamon Press, Oxford, 1982

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