scholarly journals Classical limits of unbounded quantities by strict quantization

2020 ◽  
Vol 61 (11) ◽  
pp. 112305
Author(s):  
Thomas L. Browning ◽  
Benjamin H. Feintzeig ◽  
Robin Gates-Redburg ◽  
Jonah Librande ◽  
Rory Soiffer
Keyword(s):  
Strict Quantization

scholarly journals Strict Deformation Quantization via Geometric Quantization in the Bieliavsky Plane

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
P. Hurtado ◽  
A. Leones ◽  
J. B. Moreno
Keyword(s):  
Deformation Quantization ◽  
Integral Transform ◽  
Geometric Quantization ◽  
Strict Quantization ◽  
Standard Techniques ◽  
Real Polarization

Using standard techniques from geometric quantization, we rederive the integral product of functions on ℝ2 (non-Euclidian) which was introduced by Pierre Bieliavsky as a contribution to the area of strict quantization. More specifically, by pairing the nontransverse real polarization on the pair groupoid ℝ2×ℝ¯2, we obtain the well-defined integral transform. Together with a convolution of functions, which is a natural deformation of the usual convolution of functions on the pair groupoid, this readily defines the Bieliavsky product on a subset of L2ℝ2.

Connes' tangent groupoid and strict quantization

1999 ◽  
Vol 32 (2) ◽  
pp. 79-96 ◽  
Author(s):  
JoséF. Cariñena ◽  
Jesús Clemente-Gallardo ◽  
Eduardo Follana ◽  
JoséM. Gracia-Bondía ◽  
Alejandro Rivero ◽  
...  
Keyword(s):  
Strict Quantization

scholarly journals Strict quantization of coadjoint orbits

1998 ◽  
Vol 39 (12) ◽  
pp. 6372-6383 ◽  
Author(s):  
N. P. Landsman
Keyword(s):  
Coadjoint Orbits ◽  
Strict Quantization
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