Central Forces and Angular Momentum

2017 ◽  
pp. 185-205
Author(s):  
Paul R. Berman
Keyword(s):  
Angular Momentum ◽  
Central Forces

scholarly journals Closedness of orbits in a space with SU(2) Poisson structure

2014 ◽  
Vol 29 (17) ◽  
pp. 1450081 ◽  
Author(s):  
Amir H. Fatollahi ◽  
Ahmad Shariati ◽  
Mohammad Khorrami
Keyword(s):  
Angular Momentum ◽  
Poisson Structure ◽  
Kepler Problem ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Spherically Symmetric ◽  
Symmetric Potential ◽  
Ordinary Space ◽  
Three Dimensional Space ◽  
Central Forces

The closedness of orbits of central forces is addressed in a three-dimensional space in which the Poisson bracket among the coordinates is that of the SU(2) Lie algebra. In particular it is shown that among problems with spherically symmetric potential energies, it is only the Kepler problem for which all bounded orbits are closed. In analogy with the case of the ordinary space, a conserved vector (apart from the angular momentum) is explicitly constructed, which is responsible for the orbits being closed. This is the analog of the Laplace–Runge–Lenz vector. The algebra of the constants of the motion is also worked out.

Random walks with sign reversals and the intrinsic angular momentum behaviour on lattices

1981 ◽  
Vol 42 (3) ◽  
pp. 427-435
Author(s):  
C. Tresser ◽  
C. Brot ◽  
J. Coste
Keyword(s):  
Angular Momentum ◽  
Random Walks ◽  
Intrinsic Angular Momentum

Angular momentum of electromagnetic waves

1987 ◽  
Vol 152 (8) ◽  
pp. 667 ◽  
Author(s):  
K.S. Vul'fson
Keyword(s):  
Angular Momentum ◽  
Electromagnetic Waves

Effect of the Critical Angular Momentum on Incomplete Fusion Dynamics

2015 ◽  
Vol 3 (1) ◽  
pp. 13-17
Author(s):  
D. Singh ◽  
◽  
S. Bharti Linda ◽  
Pankaj Kumar Giri ◽  
H. Kumar ◽  
...  
Keyword(s):  
Angular Momentum ◽  
Incomplete Fusion ◽  
Critical Angular Momentum
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