Nonstandard Fock spaces |
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Authors: | Stanley Gudder |
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Institution: | (1) Department of Mathematics and Computer Science, University of Denver, 80208 Denver, Colorado |
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Abstract: | A theory of nonstandard inner product spaces is developed using methods of nonstandard analysis. Various results concerning nonstandard operators and their spectra are proved. The theory is applied to construct nonstandard Fock spaces which extend the standard Fock spaces. Moreover, a rigorous framework for the field operators of quantum field theory is presented. The results are illustrated for the case of Klein-Gordon fields. |
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