Pullback Coherent States, Squeezed States and Quantization

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Dey, Rukmini, Ghosh, Kohinoor
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211640
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Pullback Coherent States, Squeezed States and Quantization. Rukmini Dey and Kohinoor Ghosh. SIGMA 18 (2022), 028, 14 pages

In this semi-expository paper, we define certain Rawnsley-type coherent and squeezed states on an integral Kähler manifold (after possibly removing a set of measure zero) and show that they satisfy some properties which are akin to the maximal likelihood property, reproducing kernel property, genera...