On the Statistical Theory of Electromagnetic Waves in a Fluctuating Medium (II): Mathematical Basis of the Analogies to Quantum Field Theory

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Description

Report discussing the relationship between quantum field theory and the the statistical theory of waves. Basic equations exist in the latter theory which correspond closely to the fundamental equations of the former theory; i.e., to the commutation relations and the Heisenberg equation of motion. A probability density function of waves is introduced here which corresponds to the probability amplitude function in quantum mechanics. The theory of the statistical Green's functions and their relationships to the expectation values of the physical variables is also extensively developed. It is found that there exists a one-to-one correspondence between the formalism of Green's functions ... continued below

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ii, 44 p.

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Furutsu, K. December 7, 1964.

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This report is part of the collection entitled: Technical Report Archive and Image Library and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 160 times . More information about this report can be viewed below.

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  • Main Title: On the Statistical Theory of Electromagnetic Waves in a Fluctuating Medium (II): Mathematical Basis of the Analogies to Quantum Field Theory
  • Added Title: National Bureau of Standards Monograph 79
  • Series Title: NBS monograph
  • Series Title: National Bureau of Standards Reports

Description

Report discussing the relationship between quantum field theory and the the statistical theory of waves. Basic equations exist in the latter theory which correspond closely to the fundamental equations of the former theory; i.e., to the commutation relations and the Heisenberg equation of motion. A probability density function of waves is introduced here which corresponds to the probability amplitude function in quantum mechanics. The theory of the statistical Green's functions and their relationships to the expectation values of the physical variables is also extensively developed. It is found that there exists a one-to-one correspondence between the formalism of Green's functions presented here and that used in field theory.

Physical Description

ii, 44 p.

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"Issued December 7, 1964."

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Technical Report Archive and Image Library

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  • December 7, 1964

Added to The UNT Digital Library

  • Jan. 29, 2012, 6:10 p.m.

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  • Aug. 3, 2015, 1:10 p.m.

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Furutsu, K. On the Statistical Theory of Electromagnetic Waves in a Fluctuating Medium (II): Mathematical Basis of the Analogies to Quantum Field Theory, report, December 7, 1964; Washington D.C.. (digital.library.unt.edu/ark:/67531/metadc70457/: accessed October 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.