On Some Geometric Aspects of Coherent States

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this note we review some issues in the geometrical approach to coherent states (CS). Specifically, we reformulate the standard (compact, simple) Lie group CS by placing them within the frameworks of geometric quantum mechanics and holomorphic geometric quantization and establishing a connection with Fisher information theory. Secondly, we briefly revisit the CS-approach to the Hilbert space Grassmannian and the KP- hierarchy and finally we discuss the CS aspects emerging in the geometric approach to Landau levels via the Fourier-Mukai-Nahm transform.
Original languageEnglish
Title of host publicationCoherent States and Their Applications
EditorsJP Antoine, F Bagarello, JP Gazeau
Pages157-172
Number of pages16
Volume205
DOIs
Publication statusPublished - 2018

Publication series

NameSPRINGER PROCEEDINGS IN PHYSICS

Keywords

  • Coherent states, geometric quantization, geometric quantum mechanics, Fisher information

Fingerprint

Dive into the research topics of 'On Some Geometric Aspects of Coherent States'. Together they form a unique fingerprint.

Cite this