1269 K 35 pp. | ||

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Title | The Theory of Quantized Fields. III | |

Author(s) | Schwinger, J. | |

Publication Date | May 1953 | |

Report Number | NP-4565 | |

Unique Identifier | ACC0112 | |

Other Numbers | OSTI ID: 4368814 | |

Research Org | Harvard University, Cambridge, Mass. | |

Contract No | 6N-onr-24806 | |

Sponsoring Org | US Atomic Energy Commission (AEC) | |

Subject | Field Theory | |

Keywords | Physics; Currents; Eigenfunctions; Eigenvalues; Electrodynamics; Electromagnetic Fields; Energy; Field Theory; Mathematics; Momentum; Photons; Quantum Electrodynamics; Quantum Mechanics | |

Related Web Pages | Julian Schwinger and the Source Theory | |

Abstract | In this paper we discuss the electromagnetic field, as perturbed by a prescribed current. All quantities of physical interest in various situations, eigenvalues, eigenfunctions, and transformation probabilities, are derived from a general transformation function which is expressed in a non-Hermitian representation. The problems treated are: the determination of the energy-momentum eigenvalues and eigenfunctions for the isolated electromagnetic field, and the energy eigenvalues and eigenfunctions for the field perturbed by a time-independent current that departs from zero only within a finite time interval, and for a time-dependent current that assumes non-vanishing time-independent values initially and finally. The results are applied in a discussion of the intra-red catastrophe and of the adiabatic theorem. It is shown how the latter can be exploited to give a uniform formulation for all problems requiring the evaluation of transition probabilities or eigenvalue displacements. | |

1269 K 35 pp. | ||

View Document | ||