scholarly journals Calculations of the dominant long-range, spin-independent contributions to the interaction energy between two nonrelativistic Dirac fermions from double-boson exchange of spin-0 and spin-1 bosons with spin-dependent couplings

2017 ◽  
Vol 95 (9) ◽  
Author(s):  
S. Aldaihan ◽  
D. E. Krause ◽  
J. C. Long ◽  
W. M. Snow
Keyword(s):  
Interaction Energy ◽  
Long Range ◽  
Dirac Fermions ◽  
Boson Exchange

scholarly journals Some Remarks on Nonlinear Electrodynamics

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Patricio Gaete
Keyword(s):  
Interaction Energy ◽  
Long Range ◽  
Coulomb Potential ◽  
Strong Field ◽  
Nonlinear Electrodynamics ◽  
Field Limit ◽  
Logarithmic Order ◽  
Heisenberg Type ◽  
Path Dependent ◽  
Strong Field Limit

By using the gauge-invariant, but path-dependent, variables formalism, we study both massive Euler-Heisenberg-like and Euler-Heisenberg-like electrodynamics in the approximation of the strong-field limit. It is shown that massive Euler-Heisenberg-type electrodynamics displays the vacuum birefringence phenomenon. Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of electrodynamics. As a result, for the case of massive Euler-Heisenbeg-like electrodynamics (Wichmann-Kroll), unexpected features are found. We obtain a new long-range (1/r3-type) correction, apart from a long-range(1/r5-type) correction to the Coulomb potential. Furthermore, Euler-Heisenberg-like electrodynamics in the approximation of the strong-field limit (to the leading logarithmic order) displays a long-range (1/r5-type) correction to the Coulomb potential. Besides, for their noncommutative versions, the interaction energy is ultraviolet finite.

scholarly journals Two-dimensional Dirac fermions in the presence of long-range correlated disorder

2012 ◽  
Vol 85 (12) ◽  
Author(s):  
Andrei A. Fedorenko ◽  
David Carpentier ◽  
Edmond Orignac
Keyword(s):  
Long Range ◽  
Dirac Fermions ◽  
Two Dimensional

scholarly journals Directional massless Dirac fermions in a layered van der Waals material with one-dimensional long-range order

2019 ◽  
Vol 19 (1) ◽  
pp. 27-33
Author(s):  
T. Y. Yang ◽  
Q. Wan ◽  
D. Y. Yan ◽  
Z. Zhu ◽  
Z. W. Wang ◽  
...  
Keyword(s):  
Long Range ◽  
Van Der Waals ◽  
Range Order ◽  
Long Range Order ◽  
Dirac Fermions ◽  
One Dimensional

Long-range interaction energy of two- and four-electron atoms

1973 ◽  
Vol 2 (1) ◽  
pp. 85-94 ◽  
Author(s):  
G.P. Arrighini ◽  
F. Biondi ◽  
C. Guidotti
Keyword(s):  
Interaction Energy ◽  
Long Range ◽  
Range Interaction ◽  
Long Range Interaction
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