Applications of the Capelli identities in physics and representation theory

被引：1
|
作者：
Rowe, D. J. [1 ]
机构：
[1] Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 05期
关键词：
Capelli identities; group contraction; vector coherent state theory; induced representations; holomorphic representations; Pfaffians; INTERACTING BOSON MODEL; COHERENT-STATE THEORY; MATRIX-ELEMENTS; LIE-ALGEBRAS; COLLECTIVE MOTION; U(3)-BOSON MODEL; HILBERT-SPACE; SHELL-MODEL; WIGNER; TRANSFORM;
D O I：
10.1088/1751-8113/48/5/055203
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：24
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