The Canonical Transformation for an Electron-Positron Field Coupled to a Time-Independent Electromagnetic Field
- 1 January 1953
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 89 (1) , 115-122
- https://doi.org/10.1103/physrev.89.115
Abstract
The problem of the electron-positron field coupled to an unquantized electromagnetic field, constant in time, is solved in the Schrödinger picture by finding a suitable canonical transformation. It is shown that in the number representation this transformation satisfies an integro-difference equation which can be solved by means of a perturbation scheme in a manner analogous to the finding of one-particle canonical transformations. It is shown, moreover, that this canonical transformation can be expressed in terms of single-particle canonical transformations.Keywords
This publication has 2 references indexed in Scilit:
- Mathematical aspects of the quantum theory of fields parts I and IICommunications on Pure and Applied Mathematics, 1951
- On the perturbation of continuous spectraCommunications on Pure and Applied Mathematics, 1948