Abstract
It is shown that both covariant harmonic oscillator formalism and quantum field theory are based on common physical principles which include Poincaré covariance, Heisenberg's space-momentum uncertainty relation, and Dirac's “C-number” time-energy uncertainty relation. It is shown in particular that the oscillator wave functions are derivable from the physical principles which are used in the derivation of the Klein-Nishina formula.
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References
P. A. M. Dirac,The Development of Quantum Theory (Gordon and Breach, New York, 1971).
G. C. Wick,Phys. Rev. 96, 1125 (1954); R. Karplus and A. Klein,Phys. Rev. 87, 848 (1952).
R. P. Feynman, M. Kislinger, and F. Ravndal,Phys. Rev. D 3, 2706 (1971).
Y. S. Kim and M. E. Noz,Found. Phys. 9, 375 (1979); Y. S. Kim, M. E. Noz, and S. H. Oh,Found. Phys. 9, 947 (1979); S. H. Oh, Y. S. Kim, and M. E. Noz,Found. Phys. 10, 635 (1980).
W. Marciano and H. Pagels,Phys. Rep. 36C, 138 (1978).
Y. S. Kim,Phys. Rev. D 14, 273 (1976).
I. Sogami,Prog. Theor. Phys. 50, 1729 (1973); T. J. Karr, Field theory of extended hadrons based on covariant harmonic oscillators, Ph.D. Thesis, University of Maryland (1976); A. Z. Capri and C. C. Chiang,Nuovo Cimento 36A, 331 (1976);38A, 191 (1977);Prog. Theor. Phys. 59, 996 (1978); G. Pocsik,Acta Phys. Austrica 49, 47 (1978);Nuovo Cim. 54, 413 (1979); K. Mita,Phys. Rev. D 18, 4545 (1978).
S. Weinberg,Phys. Rev. 150, 1313 (1966).
W. Heitler,The Quantum Theory of Radiation, 3rd ed. (Oxford University Press, London, 1954).
P. A. M. Dirac,Proc. Roy. Soc. (London) A114, 243, 710 (1927).
E. P. Wigner, inAspects of Quantum Theory, in Honour of P. A. M. Dirac's 70th Birthday, A Salam and E. P. Wigner, eds. (Cambridge University Press, London, 1972).
Y. S. Kim, M. E. Noz, and S. H. Oh,J. Math. Phys. 20, 1341 (1979).
P. A. M. Dirac,Quantum Electrodynamics, Comm. Dublin Inst. Adv. Studies, Ser. A, no. 1 (1943).
Y. S. Kim and M. E. Noz,Phys. Rev. D 15, 335 (1977); P. E. Hussar,Phys. Rev. D 23, 2781 (1981).
S. Glashow,Nucl. Phys. 22, 579 (1961); S. Weinberg,Phys. Rev. Lett. 19, 1264 (1967); A. Salam, inProceedings of the Eighth Nobel Symposium on Elementary Particle Theory, Relativistic Groups, and Analyticity, Stockholm, Sweden, N. Svartholm, ed. (Almqvist and Wikell, Stockholm, 1968).
A. J. Buras,Rev. Mod. Phys. 52, 199 (1980).
Y. S. Kim and M. E. Noz,Am. J. Phys. 46, 480, 484 (1978).
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Han, D., Kim, Y.S. & Noz, M.E. Physical principles in quantum field theory and in covariant harmonic oscillator formalism. Found Phys 11, 895–905 (1981). https://doi.org/10.1007/BF00727106
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DOI: https://doi.org/10.1007/BF00727106