Holomorphic Methods in Mathematical Physics
classification
🪐 quant-ph
math-phmath.MP
keywords
holomorphicmathematicalphysicssegal-bargmannadvancedcanonicalcommutationcompact
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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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