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The frequency of a classical periodic system and the energy levels of the corresponding quantum system can both be obtained using action variables. We demonstrate the construction of two forms of the action variable for a one dimensional…

Quantum Physics · Physics 2007-05-23 M. K. Balasubramanya

In this paper, we analyze Dirac fermions in G\"odel-type background space-times with torsion. We also consider the G\"odel-type spacetimes embedded in a topological defect background. We show that relativistic bound states solutions to the…

High Energy Physics - Theory · Physics 2017-03-16 G. Q. Garcia , J. R. de S. Oliveira , K. Bakke , C. Furtado

We study the effects of a time-varying gravitomagnetic field on the motion of test particles. Starting from recent results, we consider the gravitomagnetic field of a source whose spin angular momentum has a linearly time-varying magnitude.…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Matteo Luca Ruggiero , Lorenzo Iorio

The dynamics of cosmic strings is considered in anisotropic backgrounds. In particular, the behaviour of infinitely long straight cosmic strings and of cosmic string loops is determined. Small perturbations of a straight cosmic string are…

High Energy Physics - Theory · Physics 2012-04-25 Kerstin E. Kunze , Mairi Sakellariadou

In this work, we generalize the spacetime induced by a rotating cosmic string, taking into account anisotropic effects due the breaking of the Lorentz violation. In particular, we explore the energy levels of a massive spinless particle…

General Relativity and Quantum Cosmology · Physics 2024-05-27 A. A. Araújo Filho , J. A. A. S. Reis , L. Lisboa-Santos

We analyse the properties of a fluid generating a spinning cosmic string spacetime with flat limiting cases corresponding to a constant angular momentum in the infinite past and static configuration in the infinite future. The spontaneous…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. A. De Lorenci , R. D. M. De Paola , N. F. Svaiter

A large class of string-cosmology backgrounds leads to a spectrum of relic stochastic gravitational waves, strongly tilted towards high frequencies, and characterized by two basic parameters of the cosmological model. We estimate the…

High Energy Physics - Theory · Physics 2009-10-28 R. Brustein , M. Gasperini , M. Giovannini , G. Veneziano

It is presented an exact solution of straight spinning cosmic strings in Brans-Dicke theory of gravitation. The possibility of the existence of closed timelike curves around these cosmic strings is analyzed. Furthermore, the stability about…

General Relativity and Quantum Cosmology · Physics 2022-08-30 S. Mittmann dos Santos , J. M. Hoff da Silva , J. L. Cindra

In this article, we investigate the relativistic quantum dynamics of spin-$\frac{1}{2}$ particles in (1+2)-dimensional G\"{u}rses space-time backgrounds, and analyze the effects on the eigenvalues. We solve the Dirac equation using the…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Faizuddin Ahmed

The dynamics of wavepackets in a relativistic Dirac oscillator (DO) is considered. A comparison to nonrelativistic spin-orbit pendulum effect is discussed. Particular relativistic effects, like Zitterbewegung in spin motion, are found in…

Quantum Physics · Physics 2007-05-23 M. Turek , P. Rozmej

The Dirac oscillator is a relativistic quantum system, characterized by its linearity in both position and momentum. Moreover, considering $(1{+}1)$ and $(2{+}1)$ dimensions, the system can be mapped onto the Jaynes-Cummings and…

Quantum Physics · Physics 2025-12-23 Thiago T. Tsutsui , Alison A. Silva , Antonio S. M. de Castro , Fabiano M. Andrade

In this paper, we consider the torsional completion of gravitation for an underlying background filled with Dirac fields, applying it to the problem of neutrino oscillations: we discuss the effects of the induced torsional interactions as…

General Relativity and Quantum Cosmology · Physics 2016-01-26 Luca Fabbri , Stefano Vignolo

This paper is concerned with an investigation of the quantum mechanical dynamics of massive, spinless relativistic Klein-Gordon particle in the space-time generated by a rotating cosmic string. The equations of motion are found by the use…

High Energy Physics - Theory · Physics 2023-04-26 Abdelmalek Bouzenada , Abdelmalek Boumali

The properties of a stationary massless string endowed with intrinsic spin are discussed. The spacetime is Minkowskian geometrically but the topology is nontrivial due to the horizon located on the surface $r=0$, similar with Rindler's…

High Energy Physics - Theory · Physics 2009-11-11 Hristu Culetu

The eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials are derived. Equal scalar and vector potentials may be applicable to the spectrum of an antinucleion imbedded in a…

Nuclear Theory · Physics 2011-07-19 Joseph N. Ginocchio

Vector perturbations sourced by topological defects can generate rotations in the lensing of background galaxies. This is a potential smoking gun for the existence of defects since rotation generates a curl-like component in the weak…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-05 Daniel B. Thomas , Carlo R. Contaldi , Joao Magueijo

We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition,…

Quantum Physics · Physics 2009-11-13 A. Bermudez , M. A. Martin-Delgado , A. Luis

Cosmic strings provide a radically different paradigm for the formation of structure to the prevailing inflationary one. They afford some extra technical complications: for example, the calculation of the power spectrum of matter and…

Astrophysics · Physics 2007-05-23 Mark Hindmarsh , Mairi Sakellariadou , Graham R. Vincent

The gravitational properties of a local cosmic string in the framework of scalar-tensor gravity are examined. We find the metric in the weak-field approximation and we show that, contrary to the General Relativity case, the cosmic string in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. E. X. Guimarães

Recent scenarios of the TeV-scale brane cosmology suggest a possibility of existence in the early universe of two-dimensional topological defects: relativistic membranes. Like cosmic strings, oscillating membranes could emit gravitational…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dmitri V. Gal'tsov , Elena Yu. Melkumova
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