The Dirac equation and its solutions

書誌事項

The Dirac equation and its solutions

Vladislav G. Bagrov, Dmitry Gitman

(De Gruyter studies in mathematical physics, v. 4)

De Gruyter, c2014

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注記

Includes bibliographical references (p. [413]-428) and index

内容説明・目次

内容説明

The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation.

目次

I. Relativistic wave equations II. Solutions in physically important fields III. Charge in Aharonov-Bohm field and its combinations with some additional fields IV. Solutions in more general fields V. Dirac-Pauli equation VI. Charged particles in quantized plane-wave field VII. Attendant equations and their solutions Subject Index Bibliography

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