Holomorphic Methods in Mathematical Physics

Details Holomorphic Methods in Mathematical Physics Holomorphic Methods in Mathematical Physics

1999-12-11

arxiv.org/abs/quant-ph/9912054v2

Contemporary Mathematics, Volume 260, pp. 1-59

Physics

Quantum Physics

Final version

Scientific paper

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.

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