Fourier-like kernels in geometric quantization

K. Gawędzki

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1976

Abstract

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CONTENTSI. Introduction............................................................................................................................................... 5II. Preliminary notions................................................................................................................................ 7III. Geometric quantization.........................................................................................................................12   A. Elements of symplectic geometry................................................................12   B. Quantum bundles...........................................................................................13   C. Polarizations....................................................................................................16   D. Hilbert space connected with a polarized symplectic manifold............ 18   E. Kostant quantization of physical quantities............................................... 28IV. Kernel quantization............................................................................................................................... 41   A. Geometric quantization of canonical diffeomorphisms.......................... 41   B. Distinguished kernels................................................................................... 43   C. Kernel representation of quantized operators.......................................... 67References.................................................................................................................................................. 78

How to cite

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K. Gawędzki. Fourier-like kernels in geometric quantization. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1976. <http://eudml.org/doc/268584>.

@book{K1976,
abstract = {CONTENTSI. Introduction............................................................................................................................................... 5II. Preliminary notions................................................................................................................................ 7III. Geometric quantization.........................................................................................................................12   A. Elements of symplectic geometry................................................................12   B. Quantum bundles...........................................................................................13   C. Polarizations....................................................................................................16   D. Hilbert space connected with a polarized symplectic manifold............ 18   E. Kostant quantization of physical quantities............................................... 28IV. Kernel quantization............................................................................................................................... 41   A. Geometric quantization of canonical diffeomorphisms.......................... 41   B. Distinguished kernels................................................................................... 43   C. Kernel representation of quantized operators.......................................... 67References.................................................................................................................................................. 78},
author = {K. Gawędzki},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Fourier-like kernels in geometric quantization},
url = {http://eudml.org/doc/268584},
year = {1976},
}

TY - BOOK
AU - K. Gawędzki
TI - Fourier-like kernels in geometric quantization
PY - 1976
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSI. Introduction............................................................................................................................................... 5II. Preliminary notions................................................................................................................................ 7III. Geometric quantization.........................................................................................................................12   A. Elements of symplectic geometry................................................................12   B. Quantum bundles...........................................................................................13   C. Polarizations....................................................................................................16   D. Hilbert space connected with a polarized symplectic manifold............ 18   E. Kostant quantization of physical quantities............................................... 28IV. Kernel quantization............................................................................................................................... 41   A. Geometric quantization of canonical diffeomorphisms.......................... 41   B. Distinguished kernels................................................................................... 43   C. Kernel representation of quantized operators.......................................... 67References.................................................................................................................................................. 78
LA - eng
UR - http://eudml.org/doc/268584
ER -

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