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Title: THE THEORY OF QUANTIZED FIELDS. PART 3

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 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.

Authors:
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (US)
Sponsoring Org.:
US Atomic Energy Commission (AEC) (US)
OSTI Identifier:
4368814
Report Number(s):
NP-4565
TRN: US200506%%347
DOE Contract Number:  
6N-onr-24806
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 1 May 1953
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; EVALUATION; EXPECTATION VALUE; TRANSFORMATIONS; CURRENTS; EIGENFUNCTIONS; EIGENVALUES; ELECTRODYNAMICS; ELECTROMAGNETIC FIELDS; ENERGY; MATHEMATICS; PHOTONS; QUANTUM ELECTRODYNAMICS; QUANTUM MECHANICS; FIELD THEORY

Citation Formats

Schwinger, J. THE THEORY OF QUANTIZED FIELDS. PART 3. United States: N. p., 1953. Web. doi:10.2172/4368814.
Schwinger, J. THE THEORY OF QUANTIZED FIELDS. PART 3. United States. doi:10.2172/4368814.
Schwinger, J. Fri . "THE THEORY OF QUANTIZED FIELDS. PART 3". United States. doi:10.2172/4368814. https://www.osti.gov/servlets/purl/4368814.
@article{osti_4368814,
title = {THE THEORY OF QUANTIZED FIELDS. PART 3},
author = {Schwinger, J.},
abstractNote = {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.},
doi = {10.2172/4368814},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri May 01 00:00:00 EDT 1953},
month = {Fri May 01 00:00:00 EDT 1953}
}

Technical Report:

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