1982Journal of Mathematical PhysicsRequires access

Mickelsson lowering operators for the symplectic group

Adam M. Bincer

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Abstract

Elementary lowering operators for the symplectic group, for which a graphical algorithm was given by Mickelsson, are obtained in the form of tensor operators. The resultant simple analytic expressions are analogous to the corresponding ones found previously for the unitary and orthogonal groups.

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Elementary lowering operators for the symplectic group, for which a graphical algorithm was given by Mickelsson, are obtained in the form of tensor operators. The resultant simple analytic expressions are analogous to the corresponding ones found previously for the unitary and orthogonal groups.

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Available abstract

Elementary lowering operators for the symplectic group, for which a graphical algorithm was given by Mickelsson, are obtained in the form of tensor operators. The resultant simple analytic expressions are analogous to the corresponding ones found previously for the unitary and orthogonal groups.

Key concepts: Symplectic group, Symplectic geometry, Mathematics, Unitary state, Symplectic representation, Unitary group, Group (periodic table), Algebra over a field

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