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We show that spin-gravity interaction can distinguish between Dirac and Majorana neutrino wave packets propagating in a Lense-Thirring background. Using time-independent perturbation theory and gravitational phase to generate a perturbation…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Dinesh Singh , Nader Mobed , Giorgio Papini

The Schrodinger equation, Klein-Gordon equation (KGE), and Dirac equation are believed to be the fundamental equations of quantum mechanics. Schrodinger's equation has a defect in that there are no negative kinetic energy (NKE) solutions.…

General Physics · Physics 2022-05-09 Huai-Yu Wang

Although the Unruh and Hawking phenomena are commonly linked to field quantization in "accelerated" coordinates or in curved spacetimes, we argue that they are deeply rooted at the classical level. We maintain in particular that these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Massimo Pauri , Michele Vallisneri

In the framework of Dirac quantization with second class constraints, a free particle moving on the surface of a $(d-1)-$dimensional sphere has an ambiguity in the energy spectrum due to the arbitrary shift of canonical momenta. We…

Quantum Physics · Physics 2009-10-31 Soon-Tae Hong , Won Tae Kim , Young-Jai Park

Gravitational interaction unavoidably influences atoms and their electromagnetic radiation field in strong gravitational fields. Theoretical description of such effects using the curved metric of general relativity is limited due to the…

Quantum Physics · Physics 2025-06-30 Mikko Partanen , Jukka Tulkki

We discuss recent developments in neutrino physics and focus, in particular, on neutrino oscillations and matter effects of three light active neutrinos. Moreover, we discuss the difference between Dirac and Majorana neutrinos, neutrinoless…

High Energy Physics - Phenomenology · Physics 2017-08-23 W. Grimus

We derive the Mandelstam-Tamm time-energy uncertainty relation for neutrino oscillations in a generic stationary curved spacetime. In particular, by resorting to Stodolsky covariant formula of the quantum mechanical phase, we estimate…

High Energy Physics - Theory · Physics 2025-03-25 Massimo Blasone , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello , Luca Smaldone

By employing a pseudo-orthonormal coordinate-free approach, the Dirac equation for particles in the Kerr--Newman spacetime is separated into its radial and angular parts. In the massless case to which a special attention is given, the…

High Energy Physics - Theory · Physics 2021-02-15 Ciprian Dariescu , Marina-Aura Dariescu , Cristian Stelea

In this paper, we study a photon, a massive charged particle, and a massive neutrino passing through matter. The hypothetical left-right symmetric weak interaction, which is used in Wolfenstein's equation can generate the resonance…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kh. M. Beshtoev

Zitterbewegung, as it was originally described by Schr\"odinger, is an unphysical, non-observable effect. We verify whether the effect can be observed in non-inertial reference frames/curved spacetimes, where the ambiguity in defining…

High Energy Physics - Theory · Physics 2016-05-04 Archil Kobakhidze , Adrian Manning , Anca Tureanu

At the availability of a nonzero mass, the same neutrino regardless of whether it refers to Dirac or Majorana fermions, must possess simultaneously each of the anapole and electric dipole moments. Their interaction with the field of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Rasulkhozha S. Sharafiddinov

The time equation associated to the Dirac Equation (DE) is studied for the radiation-dominated Friedmann-Robertson-Walker (FRW) universe. The results are analysed for small and large values of time. We also incorporate the corrections of…

General Relativity and Quantum Cosmology · Physics 2008-11-07 M. Sharif

Exact solution of Dirac equation for a particle whose potential energy and mass are inversely proportional to the distance from the force centre has been found. The bound states exist provided the length scale $a$ which appears in the…

Quantum Physics · Physics 2009-11-11 I. O. Vakarchuk

According to the atomic principle an elementary particle has no excited states and under any interaction, if it is not annihilated, its internal structure cannot be modified. The intrinsic properties are the mass $m$ and the absolute value…

Classical Physics · Physics 2026-03-04 Martin Rivas

A simple extension of the standard model is proposed in which all the three generations of neutrinos are Dirac particles and are naturally light. We then assume that the neutrino mass matrix is diagonal and degenerate, with a few eV mass to…

High Energy Physics - Phenomenology · Physics 2009-10-31 Utpal Sarkar

The Newton equation describing the particle motion in constant external field force on canonical, Lie-algebraic and quadratic space-time is investigated. We show that for canonical deformation of space-time the dynamical effects are absent,…

Mathematical Physics · Physics 2009-01-27 Marcin Daszkiewicz , Cezary J. Walczyk

On the basis of the exact solutions of the modified Dirac equation for a massive neutrino moving in matter we develop the quantum theory of the spin light of neutrino ($SL\nu$). The expression for the emitted photon energy is derived as a…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alexander Studenikin , Alexei Ternov

We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the coaccelerated frame. We consider…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Georgios Vacalis , Atsushi Higuchi , Robert Bingham , Gianluca Gregori

Massive neutrinos are guaranteed to have nonzero electromagnetic moments and, since there are at least three neutrino species, these dipole moments define a matrix. Here, we estimate the current upper bounds on all independent neutrino…

High Energy Physics - Phenomenology · Physics 2022-09-09 André de Gouvêa , Giancarlo Jusino Sánchez , Pedro A. N. Machado , Zahra Tabrizi

The annihilation of electron-positron pairs around one second after the big bang distorts the Fermi-Dirac spectrum of neutrino energies. We determine the distortions assuming neutrino mixing with an inverted neutrino-mass hierarchy.…

High Energy Physics - Phenomenology · Physics 2009-09-25 V. Alan Kostelecky , Stuart Samuel