POLARIZATION EFFECTS IN A DIRAC EQUATION APPROACH TO PHOTONUCLEAR REACTIONS

1990 ◽  
Vol 51 (C6) ◽  
pp. C6-495-C6-498
Author(s):  
G. M. LOTZ ◽  
H. S. SHERIF
Keyword(s):  
Dirac Equation ◽  
Equation Approach ◽  
Photonuclear Reactions ◽  
Polarization Effects

Polarization effects in photonuclear reactions

1966 ◽  
Vol 85 (2) ◽  
pp. 327-336 ◽  
Author(s):  
R. Raphael ◽  
H. überall
Keyword(s):  
Photonuclear Reactions ◽  
Polarization Effects

ON THE ANALYSIS OF THE EIGENVALUES OF THE DIRAC EQUATION WITH A 1/r POTENTIAL IN D DIMENSIONS

2004 ◽  
Vol 13 (05) ◽  
pp. 917-931 ◽  
Author(s):  
SHI-HAI DONG ◽  
M. LOZADA-CASSOU
Keyword(s):  
Dirac Equation ◽  
Quantum System ◽  
Dimensional Space ◽  
Energy Levels ◽  
Energy Difference ◽  
Equation Approach ◽  
Potential Strength ◽  
Dimensional Space Time ◽  
The Given ◽  
Confluent Hypergeometric Equation

The Dirac equation is investigated in D+1 dimensional space-time. The radial equations of this quantum system are obtained and solved exactly by the confluent hypergeometric equation approach. The energy levels E(n,l,D) are analytically presented. For the continuous dimension D as proposed by Nieto, the dependences of the energy difference ΔE(n,l,D) for D and D-1 on the dimension D are demonstrated as three different kinds of change rules. The dependences of the energy E(n,l,D) on the dimension D are also discussed. It is found that the energies E(n,l,D) (l≠0) are almost independent of the quantum number l for a large D, while E(n,0,D) first decreases and then increases with the increasing dimension D. The dependences of the energies E(n,l,ξ) on the potential strength ξ are also studied for the given dimension D=3. We find that the energies E(n,l,ξ) decrease with ξ≤l+1.

One-dimensional dirac equation approach to the effective mass concept in diatomic crystals

1989 ◽  
Vol 152 (1) ◽  
pp. 163-169 ◽  
Author(s):  
V. Detcheva ◽  
M. Metodieva ◽  
T. Khristov ◽  
B. D. Kandilarov
Keyword(s):  
Dirac Equation ◽  
Effective Mass ◽  
Equation Approach ◽  
One Dimensional

Photon polarization effects in photonuclear reactions

1983 ◽  
Vol 404 (1) ◽  
pp. 93-105
Author(s):  
F. Saporetti ◽  
R. Guidotti
Keyword(s):  
Photonuclear Reactions ◽  
Photon Polarization ◽  
Polarization Effects

scholarly journals Dirac Equation-Based Formulation for the Quantum Conductivity in 2D-Nanomaterials

2021 ◽  
Vol 11 (5) ◽  
pp. 2398
Author(s):  
Luca Pierantoni ◽  
Nicola Pelagalli ◽  
Davide Mencarelli ◽  
Andrea Di Donato ◽  
Matteo Orlandini ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Applied Field ◽  
Quantum Mechanical ◽  
Sample Length ◽  
Finite Mass ◽  
Linear Dispersion ◽  
Polarization Effects ◽  
Basic Model ◽  
Scalar Quantum ◽  
2D Nanomaterials

Starting from the four component-Dirac equation for free, ballistic electrons with finite mass, driven by a constant d.c. field, we derive a basic model of scalar quantum conductivity, capable of yielding simple analytic forms, also in the presence of magnetic and polarization effects. The classical Drude conductivity is recovered as a limit case. A quantum-mechanical evaluation is provided for parabolic and linear dispersion, as in graphene, recovering currently used expressions as particular cases. Numerical values are compared with the ones from the literature in the case of graphene under d.c. applied field. In particular, the effect of the sample length and field strength on the conductivity are highlighted.

Enhanced polarization effects in chiral composites

1994 ◽  
Vol 4 (12) ◽  
pp. 2601-2607 ◽  
Author(s):  
A. H. Sihvola
Keyword(s):  
Polarization Effects
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