Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d’alembertians and the external field problem in quantum field theory

Hokkaido Mathematical Journal

Volumn 25, Issue 2, 1996, Pages 259-313

  Arai, Asao ^a   Tominaga, Norio ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

D alembertian; External field problem; Klein Gordon operator; Operator valued Lorentz transformation; Proper time method; Quantum field theory; Strongly commuting self adjoint operators

Indexed keywords

EID: 0347526508     PISSN: 03854035     EISSN: None     Source Type: Journal    
DOI: 10.14492/hokmj/1351516726     Document Type: Article

References (6)

1. Dirac P.A.M., The Principles of Quantum Mechanics. Oxford University Press, London (1930).
2. Itzyson C. and Zuber J.-B., Quantum Field Theory. McGraw-Hill, New York (1980).
3. Reed M. and Simon B., Methods of Modern Mathematical Physics, Vol 1. Functional Analysis. Academic Press, New York (1972).
4. Reed M. and Simon B., Methods of Modern Mathematical Physics, Vol 2. Fourier Analysis, Self-Adjointness. Academic Press, New York, (1975).
5. Schwinger J., On gauge invariance and vacuum polarization. Phys. Rev. 82 (1951), 664-679.
6. Vaidya A.N., de Souza C.F. and Hott M.B., Algebraic calculation of the Green function for a spinless charged particle in an external plane-wave electromagnetic field. J. Phys. A. Math. Gen. 21 (1988), 2239-2247.