# Semidirect product of CCR and CAR algebras and asymptotic states in quantum electrodynamics

@article{Herdegen1998SemidirectPO, title={Semidirect product of CCR and CAR algebras and asymptotic states in quantum electrodynamics}, author={Andrzej Herdegen}, journal={Journal of Mathematical Physics}, year={1998}, volume={39}, pages={1788-1817} }

A C*-algebra containing the CCR and CAR algebras as its subalgebras and naturally described as the semidirect product of these algebras is discussed. A particular example of this structure is considered as a model for the algebra of asymptotic fields in quantum electrodynamics in which Gauss’ law is respected. The appearance in this algebra of a phase variable related to electromagnetic potential leads to the universal charge quantization. Translationally covariant representations of this…

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