Vector coherent state theory and its application to the orthogonal groups
- 1 February 1988
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 29 (2) , 287-304
- https://doi.org/10.1063/1.528066
Abstract
Vector coherent state theory is developed and presented in a form that explicitly exhibits its general applicability to the ladder representations of all semisimple Lie groups and their Lie algebras. It is shown that, in a suitable basis, the vector coherent state inner product can be inferred algebraically, by K‐matrix theory, and changed to a simpler Bargmann inner product thereby facilitating the explicit calculation of the matrix representaions of Lie algebras. Applications are made to the even and odd orthogonal Lie algebras.Keywords
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