2015/01/10 by David J. Rowe, D J Rowe
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Construct (python library) #Holomorphic function #Quantum Mechanics and Non-Hermitian Physics #Representation (politics) #Representation theory #State (computer science) #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/48/5/055203
published as D. J. Rowe, J. Physics.A; Math, Theo., 48 (2015) 055203 · 19 pages
arxiv created 2015/01/10 · openalex publication_date 2015/01/12 · openalex created_date 2016/06/24 · arxiv updated 2017/10/13 · openalex updated_date 2026/08/05
Capelli identities are shown to facilitate the construction of representations of various Heisenberg algebras that arise in many-particle quantum mechanics and the construction of holomorphic representations of many Lie algebras by vector coherent state methods. We consider the original Capelli identity and its generalizations by Turnbull and by Howe and Umeda.