Holomorphic Methods in Mathematical Physics
Quantum Physics
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
This set of lecture notes gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations. Later sections describe more advanced topics such as the Segal-Bargmann transform for compact Lie groups and the infinite-dimensional theory.
Cite
@article{arxiv.quant-ph/9912054,
title = {Holomorphic Methods in Mathematical Physics},
author = {Brian C. Hall},
journal= {arXiv preprint arXiv:quant-ph/9912054},
year = {2007}
}
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