Electrons And Positrons in a Time Independent Electromagnetic Field a Solution
Electrons And Positrons in a Time Independent Electromagnetic Field a Solution
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It is foujad that Q(t) is constant in tlTTie, Hence the charge operator is a constant of the motion and electrons and positrons are created in pairs. In the original picture of Dirac, these statements v/ere obvious.
In the present description, the proof sketched above is required.
It is also easily seen that the current density and charge density operators satisfy the equation of con- tinuity even when an external electromagnetic field is present.
It is perhaps interesting to express H as the s...um of H^ ' and a perturbation. For this purpose we shall express the perturbation in terms of the operators ~^ f ^ . Our result can bo written as ko.
Using the express ion (52) for fr'^'^'^ v;o sec 'that the perturbation is (x, ^) (\{x) dx + I!in Z^(^^^l^) a^ _z. '"(x, tx) A^(x) dx 1 '^ p(x) cl>(x) dx + ^ j^(x) A^(x) dx '(")^, ..^ v(^^^) + H X^"^(^t;s) ^^'M^^;s) a^ _^ dx d^x) dx '^ ] 'J 7 1 tx I r -, dx ' A . ( X ) dx ^^rhich, cxcuTDt for the last twc; terras, is the usual fonii of the perturbation.
What to read after Electrons And Positrons in a Time Independent Electromagnetic Field a Solution?
You can find similar books in the "Read Also" column, or choose other free books by Harry E Moses to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
It is foujad that Q(t) is constant in tlTTie, Hence the charge operator is a constant of the motion and electrons and positrons are created in pairs. In the original picture of Dirac, these statements v/ere obvious.
In the present description, the proof sketched above is required.
It is also easily seen that the current density and charge density operators satisfy the equation of con- tinuity even when an external electromagnetic field is present.
It is perhaps interesting to express H as the s...um of H^ ' and a perturbation. For this purpose we shall express the perturbation in terms of the operators ~^ f ^ . Our result can bo written as ko.
Using the express ion (52) for fr'^'^'^ v;o sec 'that the perturbation is (x, ^) (\{x) dx + I!in Z^(^^^l^) a^ _z. '"(x, tx) A^(x) dx 1 '^ p(x) cl>(x) dx + ^ j^(x) A^(x) dx '(")^, ..^ v(^^^) + H X^"^(^t;s) ^^'M^^;s) a^ _^ dx d^x) dx '^ ] 'J 7 1 tx I r -, dx ' A . ( X ) dx ^^rhich, cxcuTDt for the last twc; terras, is the usual fonii of the perturbation.
What to read after Electrons And Positrons in a Time Independent Electromagnetic Field a Solution?
You can find similar books in the "Read Also" column, or choose other free books by Harry E Moses to read onlineMoreLess
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