Applications d'une representation de la mecanique quantique par des fonctions sur l'espace de phase

1973 ◽  
Vol 28 (7) ◽  
pp. 1090-1098 ◽  
Author(s):  
P. Huguenin
Keyword(s):  
Phase Space ◽  
Integral Operator ◽  
Cross Section ◽  
Discrete Symmetry ◽  
Symmetry Groups ◽  
Motion Equations ◽  
S Matrix ◽  
Wigner Transformation ◽  
Quantum Motion ◽  
Quasiprobability Distribution

The Weyl-Wigner transformation enables us to construct a representation of quantum motion equations using functions in phase space. The states of the system are determined by the quasiprobability distribution in phase space and the motion is described by an orthogonal integral operator. This formalism is employed in the study of the classical meaning of the discrete symmetry groups, in the problem of defining the current probability and in the proving of the expression of cross section from the S-matrix.

scholarly journals Complexity of quantum motion and quantum-classical correspondence: A phase-space approach

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Jiaozi Wang ◽  
Giuliano Benenti ◽  
Giulio Casati ◽  
Wen-ge Wang
Keyword(s):  
Phase Space ◽  
Classical Correspondence ◽  
Quantum Motion ◽  
Space Approach

Constrained quantum motion in δ-potential and application of a generalized integral operator

2019 ◽  
Vol 78 (5) ◽  
pp. 1695-1704 ◽  
Author(s):  
Trifce Sandev ◽  
Irina Petreska ◽  
Ervin K. Lenzi
Keyword(s):  
Integral Operator ◽  
Quantum Motion

Invariance Groups in Classical and Quantum Mechanics

1973 ◽  
Vol 28 (3-4) ◽  
pp. 538-540 ◽  
Author(s):  
D. J. Simms
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Energy Levels ◽  
Classical Mechanics ◽  
Symmetry Groups ◽  
Casimir Invariants ◽  
Classical Phase Space ◽  
Invariance Groups ◽  
Classical And Quantum Mechanics

AbstractThis is a report on some new relations and analogies between classical mechanics and quantum mechanics which arise out of the work of Kostant and Souriau. Topics treated are i) the role of symmetry groups; ii) the notion of elementary system and the role of Casimir invariants; iii) energy levels; iv) quantisation in terms of geometric data on the classical phase space. Some applications are described.

scholarly journals Improving the understanding of jet grooming in perturbation theory

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Andrew J. Larkoski
Keyword(s):  
Perturbation Theory ◽  
Phase Space ◽  
Cross Section ◽  
Power Counting ◽  
Numerical Results ◽  
Factorization Theorem ◽  
Jet Physics ◽  
Leading Order ◽  
Physics Program ◽  
Jet Observables

Abstract Jet grooming has emerged as a necessary and powerful tool in a precision jet physics program. In this paper, we present three results on jet grooming in perturbation theory, focusing on heavy jet mass in e+e−→ hadrons collisions, groomed with the modified mass drop tagger. First, we calculate the analytic cross section at leading-order. Second, using the leading-order result and numerical results through next-to-next-to-leading order, we show that cusps in the distribution on the interior of phase space at leading-order are softened at higher orders. Finally, using analytic and numerical results, we show that terms that violate the assumptions of the factorization theorem for groomed jet mass are numerically much smaller than expected from power counting. These results provide important information regarding the convergence of perturbation theory for groomed jet observables and reliable estimates for residual uncertainties in a precision calculation.

Discrete symmetry groups of vertex models in statistical mechanics

1995 ◽  
Vol 78 (5-6) ◽  
pp. 1195-1251 ◽  
Author(s):  
S. Boukraa ◽  
J. -M. Maillard ◽  
G. Rollet
Keyword(s):  
Statistical Mechanics ◽  
Discrete Symmetry ◽  
Symmetry Groups ◽  
Vertex Models

scholarly journals Velocity-based analysis of sediment incipient deposition in rigid boundary open channels

2017 ◽  
Vol 76 (9) ◽  
pp. 2535-2543 ◽  
Author(s):  
Hafzullah Aksoy ◽  
Mir Jafar Sadegh Safari ◽  
Necati Erdem Unal ◽  
Mirali Mohammadi
Keyword(s):  
Cross Section ◽  
Experimental Studies ◽  
Channel Cross Section ◽  
Design Criteria ◽  
Channel Design ◽  
Rigid Boundary ◽  
Motion Equations ◽  
Deposition Velocities ◽  
Channel Blockage ◽  
Design Velocity

Abstract Drainage systems must be designed in a way to minimize undesired problems such as decrease in hydraulic capacity of the channel, blockage and transport of pollutants due to deposition of sediment. Channel design considering self-cleansing criteria are used to solve the sedimentation problem. Incipient deposition is one of the non-deposition self-cleansing design criteria that can be used as a conservative method for channel design. Experimental studies have been carried out in five different cross-section channels, namely trapezoidal, rectangular, circular, U-shape and V-bottom. Experiments were performed in a tilting flume using four different sizes of sands as sediment in nine different channel bed slopes. Two well-known methods, namely the Novak & Nalluri and Yang methods are considered for the analysis of sediment motion. Equations developed using experimental data are found to be in agreement with the literature. It is concluded that the design velocity depends on the shape of the channel cross-section. Rectangular and V-bottom channels need lower and higher incipient deposition velocities, respectively, in comparison with other channels.

Sign in / Sign up

Export Citation Format

Share Document