Monogenic functions and representations of nilpotent Lie groups in quantum mechanics

被引：0

作者：

Cnops, J

Kisil, VV

机构：

[1] State Univ Ghent, Vakgrp Wiskundige Anal, B-9000 Ghent, Belgium

[2] Odessa State Univ, Inst Math Econ & Mech, UA-270057 Odessa, Ukraine

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1999年 / 22卷 / 04期

关键词：

Segal-Bargmann space; Heisenberg group; coherent states; wavelet transform; reproducing kernel; nilpotent Lie group; monogenic functions; Dirac operator; Clifford algebra (second) quantization; quantum field theory;

D O I：

10.1002/(SICI)1099-1476(19990310)22:4<353::AID-MMA44>3.3.CO;2-R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe several different representations of nilpotent step two Lie groups in spaces of monogenic Clifford-valued functions. We are inspired by the classic representation of the Heisenberg group in the Segal-Bargmann space of holomorphic functions. Connections with quantum mechanics are described. Copyright (C) 1999 John Wiley & Sons, Ltd.

引用

页码：353 / 373

页数：21

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[1] UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
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