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A generalization of the Einstein equation is considered for complex line elements. Several second order semilinear partial differential equations are derived from it as semilinear field equations in uniform and isotropic spaces. The…

Mathematical Physics · Physics 2016-03-16 Makoto Nakamura

In this work, we employ Ordinary Differential Equation solution method to study neutrino spin oscillations in the case when they are gravitationally scattered off a rotating Kerr black hole. Previously, this problem involved the integral…

High Energy Physics - Phenomenology · Physics 2025-10-31 Mridupawan Deka , Maxim Dvornikov

The present experimental situation regarding neutrino oscillations is first summarized, followed by an overview of selected grand unified models which have been proposed to explain the various scenarios with three active neutrinos and their…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carl H. Albright

The general relativistic effects on spin-flavor oscillations above the core of type II supernovae are investigated. The evolution equation is derived and the relative magnitudes of the terms in the Hamiltonian, which arise from the weak,…

Astrophysics · Physics 2009-12-30 M. Bruggen

Starting with the Dirac-Pauli equation for a massive neutrino in an external magnetic field, we propose a new quantum equation for a neutrino in the presence of the background matter. On this basis the quantum theory of a neutrino moving in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Studenikin , Alexei Ternov

The fully nonlinear governing equations for spin 1/2 quantum plasmas are presented. Starting from the Pauli equation, the relevant plasma equations are derived, and it is shown that nontrivial quantum spin couplings arise, enabling studies…

Plasma Physics · Physics 2008-11-26 M. Marklund , G. Brodin

We present approximative solutions to the neutrino evolution equation calculated by different methods. In a two neutrino framework, using the physical parameters which gives the main effects to neutrino oscillations from nu{e} to another…

High Energy Physics - Phenomenology · Physics 2008-11-26 Verissimo M. de Aquino , J. S. S. de Oliveira

A review is given of recent results about the computation of irrotational Darwin-Riemann configurations in general relativity. Such configurations are expected to represent fairly well the late stages of inspiralling binary neutron stars.

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Bonazzola , E. Gourgoulhon , P. Grandclement , J. -A. Marck

We analytically compute the orbital effects induced on the motion of a spinning particle geodesically traveling around a central rotating body by the general relativistic two-body spin-spin and spin-orbit interactions. We use the weak-field…

General Relativity and Quantum Cosmology · Physics 2012-03-13 Lorenzo Iorio

We propose a modified Dirac equation for a massive neutrino moving in the presence of the background matter. The effects of the charged and neutral-current interactions with the matter as well as the matter motion and polarization are…

High Energy Physics - Phenomenology · Physics 2021-01-19 Alexander Studenikin , Alexei Ternov

We found a spin integral of motion for neutrino, which propagates in moving and polarized matter. The operator obtained opens up the possibility of consistent classification of neutrino states in such a medium and, as a consequence, a…

High Energy Physics - Phenomenology · Physics 2022-04-20 A. Grigoriev , A. Studenikin , A. Ternov

General relativistic calculations are made of neutrino-antineutrino annihilation into electron-positron pairs near the surface of a neutron star. It is found that the efficiency of this process is enhanced over the Newtonian values up to a…

Astrophysics · Physics 2009-10-31 Jay D. Salmonson , James R. Wilson

We study neutrino spin oscillations in gravitational fields. The quasi-classical approach is used to describe the neutrino spin evolution. First we examine the case of a weak gravitational field. We obtain the effective Hamiltonian for the…

High Energy Physics - Phenomenology · Physics 2011-09-13 Maxim Dvornikov

We construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions. First-principle considerations in QFT force generalized symmetries to appear in dual pairs. Verifying this prediction helps us find the full set of…

High Energy Physics - Theory · Physics 2023-05-24 Valentin Benedetti , Pablo Bueno , Javier M. Magan

Spin-1/2 particles can be used to study inertial and gravitational effects by means of interferometers, particle accelerators, and ultimately quantum systems. These studies require, in general, knowledge of the Hamiltonian and of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Singh , G. Papini

A method is described for calculating the Generalized Parton Distributions (GPDs) of spin 1/2 hadrons made of composite constituents, in an Impulse Approximation framework. GPDs are obtained from the convolution between the light cone…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sergio Scopetta

We propose method for studying relativistic spin-$1/2$ particles by solving the corresponding Feshbach-Villars equation. We have found that the Feshbach-Villars spin-$1/2$ equations can be formulated as spin-coupled Feshbach-Villars…

Quantum Physics · Physics 2024-08-29 D. Wingard , A. Garcia Vallejo , Z. Papp

The Dirac equation for massive free electrically neutral spin 1/2 particles in a gravitation field is considered. The secondary quantization procedure is applied to it and the Hilbert space of multiparticle quantum states is constructed.

Differential Geometry · Mathematics 2007-05-23 Ruslan Sharipov

Recently, we have shown how the interpretation of quantum mechanics due to Lande' can be used to derive from first principles generalized formulas for the operators and some eigenvectors for spin 1/2 Though we gave the operators for all the…

Quantum Physics · Physics 2007-05-23 Habatwa Vincent Mweene

The general formalism for the description of neutrino oscillations in arbitrary rapidly varying external fields is elaborated. We obtain the new effective Hamiltonian which determines the evolution of the averaged neutrino wave function.…

High Energy Physics - Phenomenology · Physics 2016-12-07 Maxim Dvornikov