Abstract
We demonstrate a method to describe quantum systems with infinitely many degrees of freedom in concrete Hilbert spaces, using the electromagnetic radiation field as a well-known example of such a system. Since our method is not only applicable to the case of countably many but even to the case of uncountably many degrees of freedom, there is no need for a finite quantization volume in radiation theory.
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Weiss, L., Gerlich, G. Concrete Hilbert spaces for quantum systems with infinitely many degrees of freedom. Int J Theor Phys 35, 1341–1351 (1996). https://doi.org/10.1007/BF02084944
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DOI: https://doi.org/10.1007/BF02084944