Generalized newton variational principle-ℒ︁2 amplitude density treatment of the 3-dimensional quantal reaction F + H2 → HF(vf) + H: Comparison of reaction probabilities and state-to-state collisional delay times for zero and nonzero total angular momentum

2009 ◽  
Vol 36 (S23) ◽  
pp. 45-58
Author(s):  
Chin-Hui Yu ◽  
Donald J. Kouri ◽  
Meishan Zhao ◽  
Donald G. Truhlar ◽  
David W. Schwenke
Keyword(s):  
Angular Momentum ◽  
Variational Principle ◽  
Total Angular Momentum ◽  
3 Dimensional ◽  
Delay Times ◽  
Generalized Newton ◽  
Amplitude Density ◽  
Density Treatment

SYMMETRY DECOUPLING IN LINEAR ALGEBRAIC VARIATIONAL SCATTERING PROBLEMS

1995 ◽  
Vol 06 (01) ◽  
pp. 105-121
Author(s):  
MEISHAN ZHAO
Keyword(s):  
Angular Momentum ◽  
Variational Principle ◽  
Total Angular Momentum ◽  
Numerical Calculations ◽  
Quantum Mechanical ◽  
Matrix Elements ◽  
Scattering Problems ◽  
Identical Particles ◽  
Generalized Newton

This paper discusses the symmetry decoupling in quantum mechanical algebraic variational scattering calculations by the generalized Newton variational principle. Symmetry decoupling for collisions involving identical particles is briefly discussed. Detailed discussion is given to decoupling from evaluation of matrix elements with nonzero total angular momentum. Example numerical calculations are presented for BrH2 and DH2 systems to illustrate accuracy and efficiency.

scholarly journals Relativistic Persistent Currents in Ideal Aharonov-Bohm Rings and Cylinders

2016 ◽  
Vol 59 (1) ◽  
pp. 49-67
Author(s):  
Ion I. Cotăescu
Keyword(s):  
Angular Momentum ◽  
Total Angular Momentum ◽  
Relativistic Effect ◽  
Persistent Currents ◽  
Relativistic Case ◽  
3 Dimensional ◽  
Flux Parameter ◽  
First Time ◽  
Aharonov Bohm ◽  
Partial Currents

AbstractIn this report we revisit the results obtained in [1, 2] where the relativistic Aharonov-Bohm was studied for the first time. The method is based on the exact solutions of the complete (1+3)-dimensional Dirac equation of fermions moving in ideal Aharonov-Bohm (AB) rings and cylinders which are used for deriving the exact expressions of the relativistic partial currents. It is shown that these currents can be related to the derivative of the fermion energy with respect to the flux parameter, just as in the non-relativistic case. However, a new and remarkable relativistic effect is the saturation of the partial currents for high values of the total angular momentum. Based on this property, the total relativistic persistent currents at T = 0 is evaluated for rings and cylinders obtaining approximative simple closed formulas. Notice that this report brings together the texts of Refs. [1, 2] with some improvements and unitary notations.

Asymmetric wave-stress tensors and wave spin

1973 ◽  
Vol 58 (4) ◽  
pp. 737-747 ◽  
Author(s):  
W. L. Jones
Keyword(s):  
Angular Momentum ◽  
Variational Principle ◽  
Orbital Angular Momentum ◽  
Total Angular Momentum ◽  
Plasma Waves ◽  
External Fields ◽  
Stress Tensors ◽  
Momentum Fluxes ◽  
Asymmetric Wave

Linearized wave-stress tensors derived from Hamilton's variational principle may be asymmetric. If interpreted as momentum fluxes, they would lead to lack of conservation of orbital angular momentum. It is shown that changes in internal angular momentum or spin of waves and torque coupling to external fields can adequately provide conservation of total angular momentum in such cases, Examples are given for acoustic, internal gravity, Rossby and plasma waves.

scholarly journals BOUND STATES AND SCATTERING SOLUTIONS FOR 3D GRAVITY

1991 ◽  
Vol 06 (19) ◽  
pp. 1771-1778 ◽  
Author(s):  
KRZYSZTOF A. MEISSNER
Keyword(s):  
Angular Momentum ◽  
Bound States ◽  
Total Angular Momentum ◽  
Quantum Case ◽  
Classical Level ◽  
Planck Mass ◽  
3 Dimensional ◽  
Test Particles ◽  
Dimensional Gravity ◽  
3D Gravity

We investigate the behavior of test particles in the presence of a massive source in 3-dimensional gravity. Bound states and scattering solutions are obtained both at the classical level and as solutons of the Schrödinger equation. The results depend crucially on whether the mass of the source is larger or smaller than the Planck mass and, in the quantum case, on the total angular momentum of the system.

scholarly journals Total Angular Momentum Dichroism of the Terahertz Vortex Beams at the Antiferromagnetic Resonances

2021 ◽  
Vol 126 (15) ◽  
Author(s):  
A. A. Sirenko ◽  
P. Marsik ◽  
L. Bugnon ◽  
M. Soulier ◽  
C. Bernhard ◽  
...  
Keyword(s):  
Angular Momentum ◽  
Total Angular Momentum ◽  
Vortex Beams
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