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Infinite Dimensional Fock Spaces and an Associated Generalized Laplacian Operator

In: Generalized Functions, Convergence Structures, and Their Applications

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  • John Schmeelk

    (Virginia Commonwealth University, Department of Mathematical Sciences)

Abstract

Quantum field theory has a long history of cooperation between physicists and mathematicians. The approach in this paper utilizes the theory developed in generalized functions. This technique was pioneered by Dr. Paul Dirac. His results of the 1920’s still remain a very elegant treatment of the theory. A recent publication [9] written by Dirac in 1966 gives a concise assessment of the subject. Many other contributors such as Bergmann, Bogoliubov, Cholewinski, Colombeau, Friedrichs, Kastler, Kristensen, Mejblo, Poulsen, Rzewuski, Schiff, Shapiro, and Wightman incorporate generalized functions into their development.

Suggested Citation

  • John Schmeelk, 1988. "Infinite Dimensional Fock Spaces and an Associated Generalized Laplacian Operator," Springer Books, in: Bogoljub Stanković & Endre Pap & Stevan Pilipović & Vasilij S. Vladimirov (ed.), Generalized Functions, Convergence Structures, and Their Applications, pages 305-316, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-1055-6_31
    DOI: 10.1007/978-1-4613-1055-6_31
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