Phase space reduction and Poisson structure

1999 ◽  
Vol 40 (7) ◽  
pp. 3431-3438 ◽  
Author(s):  
Nadhem Zaalani
Keyword(s):  
Phase Space ◽  
Poisson Structure ◽  
Space Reduction ◽  
Phase Space Reduction

PHASE SPACE REDUCTION AND THE CHOICE OF PHYSICAL VARIABLES IN GAUGE THEORIES

1991 ◽  
Vol 06 (05) ◽  
pp. 845-863 ◽  
Author(s):  
S.V. SHABANOV
Keyword(s):  
Phase Space ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Hamiltonian Path ◽  
Curvilinear Coordinates ◽  
Yang Mills ◽  
Space Reduction ◽  
Physical Variables ◽  
Phase Space Reduction ◽  
Gauge Conditions

The connection between the way of separation of physical variables and the form of the Hamiltonian path integral (HPI) is studied for the Yang-Mills quantum mechanics. It is shown that physical degrees of freedom are always described by curvilinear coordinates. It is also found that the ambiguity in determining physical variables follows from the reduction of the physical phase space. The latter leads to a modification of the standard HPI (HPI with gauge conditions).

scholarly journals BRST Cohomology and Phase Space Reduction in Deformation Quantization

2000 ◽  
Vol 210 (1) ◽  
pp. 107-144 ◽  
Author(s):  
Martin Bordemann ◽  
Hans-Christian Herbig ◽  
Stefan Waldmann
Keyword(s):  
Phase Space ◽  
Deformation Quantization ◽  
Space Reduction ◽  
Brst Cohomology ◽  
Phase Space Reduction

scholarly journals Differential formulation of the gyrokinetic Landau operator

2017 ◽  
Vol 83 (1) ◽  
Author(s):  
Eero Hirvijoki ◽  
Alain J. Brizard ◽  
David Pfefferlé
Keyword(s):  
Phase Space ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Collision Operator ◽  
Potential Functions ◽  
Rigorous Derivation ◽  
Five Dimensions ◽  
Space Reduction ◽  
Differential Formulation ◽  
Phase Space Reduction

Subsequent to the recent rigorous derivation of an energetically consistent gyrokinetic collision operator in the so-called Landau representation, this paper investigates the possibility of finding a differential formulation of the gyrokinetic Landau collision operator. It is observed that, while a differential formulation is possible in the gyrokinetic phase space, reduction of the resulting system of partial differential equations to five dimensions via gyroaveraging poses a challenge. Based on the present work, it is likely that the gyrocentre analogues of the Rosenbluth–MacDonald–Judd potential functions must be kept gyroangle dependent.

scholarly journals Phase space reduction for star-products: An explicit construction for ?P n

1996 ◽  
Vol 36 (4) ◽  
pp. 357-371 ◽  
Author(s):  
M. Bordemann ◽  
M. Brischle ◽  
C. Emmrich ◽  
S. Waldmann
Keyword(s):  
Phase Space ◽  
Explicit Construction ◽  
Star Products ◽  
Space Reduction ◽  
Phase Space Reduction
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