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Recurrence relations and path representations of matrix elements of an SU(1,1) algebra

Abstract:

It is shown that a SU(1,1) algebra may be used to provide a unified description of the simple hamonic oscillator and the angular momentum algebras and a class of other semi-infinite algebras. A normal ordered representation of a Unitary operator $U$ constructed from the generators of a SU(1,1) algebra, which is a generalisation of the Baker- Campbell - Hausdorff relation for Lie algebras, is given. It is shown that the normal ordered representatiion of $U$ may be used to calculate expectation...

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
URN:
uuid:21d61914-c271-4896-875f-5f3af3dbaf4a
Source identifiers:
354567
Local pid:
pubs:354567

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