Coherent State Method in Geometric Quantization

Anatol Odzijewicz

H. P. Berg, Jan Tarski

Castañeda Terrones, José Luís

Stephen D. Bartlett, DAVID J. ROWE, Joe Repka

Coherent state theory is shown to reproduce three categories of representations of the spectrum generating algebra for an algebraic model: (i) classical realizations which are the starting point for geometric quantization, (ii) induced unitary representations corresponding to prequantization and (iii) irreducible unitary representations obtained in geometric quantization by choice of a polarization. These representations establish an intimate relation between coherent state theory and geometric quantization in the context of induced representations.

M. C. Ashworth

S. Twareque Ali, Ivaïlo M. Mladenov, Anatol Odzijewicz

Half-forms and Berry's phase, N.M.J. Woodhouse quantum particle on a Torus in a magnetic field, H.D. Doebner and J. Tolar loop spaces and a geometrical approach to path integral quantization, R.F. Picken on the connection between orbits and representations, N.V. Pedersen geometric quantization of Riemann rotors, G. Rosensteel and E. Ihrig large on the decomposition of the oscillator representation, A. Strasburger symplectic and Kahler coherent state representations of unimodular Lie groups, W. Lisiecki local and non-local probabilities in Einstein-Podolsky-Rosen correlations, K. Wodkiewicz the Lorentz force equation in twistor terms - a symplectic framework, A. Bette Green's function for crossed time-dependent-electric and magnetic fields phase-space quantum mechanics approach, L.M. Nieto quantization on coadjoint orbits of diffeomorphism groups - some research directions, G.A. Goldin semiclassical behaviour of coherent states on the circle, S. de Bievre and J.A. Gonzalez.