scholarly journals Lorentz gamma factor from vacuum to medium and Minkowski momentum of a photon

AIP Advances ◽  
2018 ◽  
Vol 8 (8) ◽  
pp. 085026 ◽  
Author(s):  
Dipok Saikia
Keyword(s):  
Gamma Factor

scholarly journals SPIN LIGHT OF NEUTRINO IN GRAVITATIONAL FIELDS

2005 ◽  
Vol 14 (02) ◽  
pp. 309-321 ◽  
Author(s):  
MAXIM DVORNIKOV ◽  
ALEXANDER GRIGORIEV ◽  
ALEXANDER STUDENIKIN
Keyword(s):  
Black Hole ◽  
Gamma Rays ◽  
Dense Matter ◽  
Total Power ◽  
Fourth Power ◽  
Gravitational Fields ◽  
Quasiclassical Theory ◽  
Relativistic Jet ◽  
First Time ◽  
Gamma Factor

We develop the quasiclassical theory of a massive neutrino spin evolution in the presence of gravitational fields, and the corresponding probability of the neutrino spin oscillations in gravitational fields is derived for the first time. On this basis we also predict a new mechanism for electromagnetic radiation by a neutrino moving in the vicinity of gravitating objects (the "spin light of neutrino," SLν, in gravitational fields). It is shown that the total power of this radiation is proportional to the neutrino gamma factor to the fourth power, and the emitted photon energy, for the case of an ultra relativistic neutrino, spans up to gamma-rays. We investigate the SLν caused by both gravitational and electromagnetic fields, also accounting for effects of arbitrary moving and polarized matter, in various astrophysical environments. In particular, we discuss the SLν emitted by a neutrino moving in the vicinity of a rotating neutron star, black hole surrounded by dense matter, as well as by a neutrino propagating in the relativistic jet from a quasar.

scholarly journals Gamma Factors, Root Numbers, and Distinction

2018 ◽  
Vol 70 (3) ◽  
pp. 683-701 ◽  
Author(s):  
Nadir Matringe ◽  
Omer Offen
Keyword(s):  
Linear Group ◽  
General Linear Group ◽  
Quadratic Extension ◽  
Root Number ◽  
Converse Problem ◽  
Root Numbers ◽  
Special Values ◽  
Distinguished Representations ◽  
Local Invariants ◽  
Gamma Factor

AbstractWe study a relation between distinction and special values of local invariants for representations of the general linear group over a quadratic extension of p-adic fields. We show that the local Rankin–Selberg root number of any pair of distinguished representation is trivial, and as a corollary we obtain an analogue for the global root number of any pair of distinguished cuspidal representations. We further study the extent to which the gamma factor at 1/2 is trivial for distinguished representations as well as the converse problem.

The acceleration effect and Gamma factor in asset pricing

2020 ◽  
pp. 125367
Author(s):  
Diego Ardila-Alvarez ◽  
Zalan Forro ◽  
Didier Sornette
Keyword(s):  
Asset Pricing ◽  
Gamma Factor

scholarly journals Stability of Asai local factors for GL(2)

2020 ◽  
pp. 1-18
Author(s):  
Yeongseong Jo ◽  
M. Krishnamurthy
Keyword(s):  
Local Field ◽  
Mellin Transform ◽  
Bessel Functions ◽  
Quadratic Algebra ◽  
Local Factors ◽  
The Stability ◽  
Gamma Factor

Let [Formula: see text] be a non-archimedean local field of characteristic not equal to 2 and let [Formula: see text] be a quadratic algebra. We prove the stability of local factors attached to irreducible admissible (complex) representations of [Formula: see text] via the Rankin–Selberg method under highly ramified twists. This includes both the Asai as well as the Rankin–Selberg local factors attached to pairs. Our method relies on expressing the gamma factor as a Mellin transform using Bessel functions.

scholarly journals Rankin–Selberg gamma factors of level zero representations of GLn

2019 ◽  
Vol 31 (2) ◽  
pp. 503-516 ◽  
Author(s):  
Rongqing Ye
Keyword(s):  
Local Field ◽  
Residue Field ◽  
Converse Theorem ◽  
Level Zero ◽  
Gamma Factor ◽  
Cuspidal Representations

AbstractFor a p-adic local field F of characteristic 0, with residue field {\mathfrak{f}}, we prove that the Rankin–Selberg gamma factor of a pair of level zero representations of linear general groups over F is equal to a gamma factor of a pair of corresponding cuspidal representations of linear general groups over {\mathfrak{f}}. Our results can be used to prove a variant of Jacquet’s conjecture on the local converse theorem.

Developing a visual method to characterize displays

2019 ◽  
Vol 2019 (1) ◽  
pp. 75-79
Author(s):  
Yu Hu ◽  
Ming Ronnier Luo
Keyword(s):  
Ground Truth ◽  
Visual Method ◽  
Characterization Model ◽  
Step Model ◽  
Matrix Coefficients ◽  
Colour Channel ◽  
The Individual ◽  
Typical Difference ◽  
Gamma Factor

The goal is to develop a display characterization model to include the personal vision characteristics. A two-step model for visually characterizing displays was developed. It was based on the concept of half-toning technique for obtaining gamma factor for each colour channel, and unique hue concept for achieving 3x3 matrix coefficients, respectively. The variation can be presented by the optimized RGB primaries for each observer. The typical difference between the individual and the measured ground truth is 2.2 in terms of CIEDE2000 units.

scholarly journals Stability of the local gamma factor in the unitary case

2008 ◽  
Vol 128 (5) ◽  
pp. 1358-1375 ◽  
Author(s):  
Eliot Brenner
Keyword(s):  
Gamma Factor

The L-Functions L(s, Symm(r), π)

1985 ◽  
Vol 28 (4) ◽  
pp. 405-410 ◽  
Author(s):  
C. J. Moreno ◽  
F. Shahidi
Keyword(s):  
Automorphic Representation ◽  
Hecke Operators ◽  
Symmetric Power ◽  
Exact Form ◽  
Cuspidal Automorphic Representation ◽  
Gamma Factor

AbstractThe exact form for the gamma factor for the L-function corresponding to the m-th symmetric power of a cuspidal automorphic representation of PGL(2) is given. This information is used to obtain, via a theorem of Landau, bounds for the eigenvalues of Hecke operators.

Sign in / Sign up

Export Citation Format

Share Document