An outline of geometric quantisation (d'après Kostant)

1977 ◽  
pp. 1-10 ◽  
Author(s):  
D. J. Simms
Keyword(s):  
Geometric Quantisation

Geometric quantisation of the MIC-Kepler problem

1987 ◽  
Vol 20 (17) ◽  
pp. 5865-5871 ◽  
Author(s):  
I M Mladenov ◽  
V V Tsanov
Keyword(s):  
Kepler Problem ◽  
Geometric Quantisation

Twistors and geometric quantisation theory

1978 ◽  
Vol 13 (2) ◽  
pp. 199-231 ◽  
Author(s):  
A.L. Carey ◽  
K.C. Hannabuss
Keyword(s):  
Geometric Quantisation

scholarly journals Formal geometric quantisation for proper actions

2015 ◽  
Vol 11 (3) ◽  
pp. 409-424
Author(s):  
Peter Hochs ◽  
Varghese Mathai
Keyword(s):  
Proper Actions ◽  
Geometric Quantisation

scholarly journals Double field theory and geometric quantisation

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Luigi Alfonsi ◽  
David S. Berman
Keyword(s):  
Field Theory ◽  
Fourier Transform ◽  
Coherent State ◽  
Sigma Model ◽  
Symplectic Transformation ◽  
Geometric Quantisation ◽  
Double Field Theory ◽  
Shortest Distance ◽  
Alternative Choice

Abstract We examine various properties of double field theory and the doubled string sigma model in the context of geometric quantisation. In particular we look at T-duality as the symplectic transformation related to an alternative choice of polarisation in the construction of the quantum bundle for the string. Following this perspective we adopt a variety of techniques from geometric quantisation to study the doubled space. One application is the construction of the “double coherent state” that provides the shortest distance in any duality frame and a “stringy deformed” Fourier transform.

scholarly journals GEOMETRIC PHASES IN THE QUANTISATION OF BOSONS AND FERMIONS

2011 ◽  
Vol 90 (2) ◽  
pp. 221-235 ◽  
Author(s):  
SIYE WU
Keyword(s):  
Hilbert Spaces ◽  
Maslov Index ◽  
Harmonic Oscillators ◽  
Complex Structures ◽  
Flat Connection ◽  
Geometric Phases ◽  
Berry's Phase ◽  
Geometric Quantisation ◽  
Projectively Flat ◽  
Fermionic Systems

AbstractAfter reviewing geometric quantisation of linear bosonic and fermionic systems, we study the holonomy of the projectively flat connection on the bundle of Hilbert spaces over the space of compatible complex structures and relate it to the Maslov index and its various generalisations. We also consider bosonic and fermionic harmonic oscillators parametrised by compatible complex structures and compare Berry’s phase with the above holonomy.

Monopole scattering spectrum from geometric quantisation

1988 ◽  
Vol 21 (12) ◽  
pp. 2835-2837 ◽  
Author(s):  
B Cordani ◽  
L G Feher ◽  
P A Horvathy
Keyword(s):  
Geometric Quantisation ◽  
Scattering Spectrum

scholarly journals A Poincaré lemma in geometric quantisation

2013 ◽  
Vol 5 (4) ◽  
pp. 473-491 ◽  
Author(s):  
Eva Miranda ◽  
◽  
Romero Solha ◽  
Keyword(s):  
Geometric Quantisation ◽  
Poincaré Lemma
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