Hostname: page-component-5c6d5d7d68-thh2z Total loading time: 0 Render date: 2024-08-16T15:43:24.978Z Has data issue: false hasContentIssue false

On representations of a generalized method of field quantization

Published online by Cambridge University Press:  17 February 2009

R. Kleeman
Affiliation:
Department of Theoretical Physics, Faculty of Science, Australian National University, Canberra, A.C.T. 2600
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A new method of field quantization, in which the number operator has the form a*a, is proposed. Representations of this method are considered, particularly in reference to what conditions unique-vacuum state representations are required to satisfy.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1981

References

[1]Bialynicki-Birula, I., “Elementary particles and generalized statistics”, Nucl. Phys. 49 (1963), 605608.CrossRefGoogle Scholar
[2]Buchdahl, H. A., “Concerning a kind of truncated quantized linear harmonic oscillator”, Amer. J. Phys. 35 (1967), 210218.CrossRefGoogle Scholar
[3]Geyer, B., “On generalized field quantization procedures”, Nuci. Phys. B9 (1969), 6774.CrossRefGoogle Scholar
[4]Govorkov, A. B., in High-energy physics and elementary particle theory, Int. school for theoretical physics, Yalta, 1966 (Kiev, 1967), page 770 (in Russian).Google Scholar
[5]Green, H. S., “Generalized methods for field quantization”, Phys. Rev. 90 (1953), 270273.CrossRefGoogle Scholar
[6]Pauli, W., “On the connection between spin and statistics”, Prog. Theor. Phys. 5 (1950), 526543.CrossRefGoogle Scholar
[7]Roman, P. and Aghassi, J. J., preprint BU-EP-5-66 (Boston University, 1966).Google Scholar