THE THEORY OF QUANTIZED FIELDS. PART 3

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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 transition 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; the evaluation of transition probabilities and photon number expectation values for a time-dependent current that departs from zero only within a finite time interval, and for a time-dependent ... continued below

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Schwinger, J. May 1, 1953.

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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 transition 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; the evaluation of transition probabilities and photon number expectation values for a time-dependent 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 infra-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.

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OSTI as DE04368814

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  • Other Information: PBD: 1 May 1953

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  • Report No.: NP-4565
  • Grant Number: 6N-onr-24806
  • DOI: 10.2172/4368814 | External Link
  • Office of Scientific & Technical Information Report Number: 4368814
  • Archival Resource Key: ark:/67531/metadc1018412

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  • May 1, 1953

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  • Oct. 15, 2017, 10:09 p.m.

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  • Jan. 30, 2018, 12:38 p.m.

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Schwinger, J. THE THEORY OF QUANTIZED FIELDS. PART 3, report, May 1, 1953; United States. (digital.library.unt.edu/ark:/67531/metadc1018412/: accessed October 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.