GEOMETRIC PHASES IN THE QUANTISATION OF BOSONS AND FERMIONS

DOI10.1017/S1446788711001236zbMath1225.53078MaRDI QIDQ3020577

Siye Wu

Publication date: 4 August 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hermitian symmetric spacesMaslov indexBerry's phase

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Lagrangian submanifolds; Maslov index (53D12) Geometric quantization (53D50)

Related Items (2)

Representations of fermionic star product algebras and the projectively flat connection ⋮ Quantisation of a family of phase spaces

Cites Work

• Spineurs symplectiques purs et indice de Maslov de plans lagrangiens positifs
• Geometric quantization, parallel transport and the Fourier transform
• The Gromov norm of the Kähler class of symmetric domains
• Spineurs purs et description cohomologique des groupes spinoriels. (Pure spinors and cohomological description of spin groups)
• The Weil representation, Maslov index and theta series
• The Maslov index revisited
• Quantum adiabatic theorem and universal holonomy
• The Gromov norm of the Kähler class and the Maslov index.
• Quantal phase factors accompanying adiabatic changes
• Classical adiabatic angles and quantal adiabatic phase
• Geometric quantization and the Bogoliubov transformation
• Existence of Universal Connections

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