On Some Geometric Aspects of Coherent States

Risultato della ricerca: Contributo in libroChapter

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.
Lingua originaleEnglish
Titolo della pubblicazione ospiteCoherent States and Their Applications
EditorJP Antoine, F Bagarello, JP Gazeau
Pagine157-172
Numero di pagine16
Volume205
DOI
Stato di pubblicazionePubblicato - 2018

Serie di pubblicazioni

NomeSPRINGER PROCEEDINGS IN PHYSICS

Keywords

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

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