Bulg. J. Phys. vol.48 no.5-6 (2021), pp. 390-399

Fock Space Dualities

K. Neergård
Næstved, Denmark
Abstract. Several cases of Fock space duality occurring in the theory of many-body systems in general and nuclei in particular are discussed. All of them are special cases of a general duality theorem proved in mathematics by Howe in the 1970s. Dualities on a fermion Fock space between orthogonal Lie algebras and related groups, including an o-Pin duality recently discovered by the author, present a nice, symmetric pattern.

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