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The Klein-Gordon equation is solved approximately for the Hulth\'{e}n potential for any angular momentum quantum number $\ell$ with the position-dependent mass. Solutions are obtained reducing the Klein-Gordon equation into a…

Mathematical Physics · Physics 2009-11-13 Altug Arda , Ramazan Sever , Cevdet Tezcan

We consider the quantum mechanical problem of the motion of a spinless charged relativistic particle with mass$M$, described by the Klein-Fock-Gordon equation with equal scalar $S(\vec{r})$ and vector $V(\vec{r})$ Coulomb plus ring-shaped…

High Energy Physics - Theory · Physics 2020-04-28 Sh. M. Nagiyev , A. I. Ahmadov , V. A. Tarverdiyeva

Constraints on a spin-independent interaction by exchange of a neutral light boson are derived from precision data on the electron anomalous magnetic moment and from atomic spectroscopy of hydrogen and deuterium atoms. The mass range from…

High Energy Physics - Phenomenology · Physics 2014-11-04 S. G. Karshenboim

We solve the Klein-Gordon equation in the presence of a spatially one-dimensional cusp potential. The bound state solutions are derived and the antiparticle bound state is discussed.

High Energy Physics - Theory · Physics 2009-11-11 Victor M. Villalba , Clara Rojas

We derive a bound on the total number of negative energy bound states in a potential in two spatial dimensions by using an adaptation of the Schwinger method to derive the Birman-Schwinger bound in three dimensions. Specifically, counting…

Mathematical Physics · Physics 2015-06-26 Andre Martin , Tai Tsun Wu

Unification ideas motivate the formulation of field equations on an extended spin space. Demanding that the Poincare symmetry be maintained, one derives scalar symmetries that are associated with flavor and gauge groups. Boson and fermion…

High Energy Physics - Theory · Physics 2009-11-07 J. Besprosvany

Using the shape invariance property we obtain exact solutions of the (1+1)dimensional Klein-Gordon equation for certain types of scalar and vector potentials. We also discuss the possibility of obtaining real energy spectrum with…

Quantum Physics · Physics 2009-11-13 T. Jana , P. Roy

We study solutions for the Klein-Gordon equation with vector and scalar potentials of the Coulomb types under the influence of non-inertial effects in the space-time of topological defects. We also investigate a quantum particle described…

High Energy Physics - Theory · Physics 2018-02-14 L. C. N. Santos , C. C. Barros

We address the Klein-Gordon equation for a spinless charged particle in the presence of an electromagnetic (EM) field, and focus on its known shortcoming, related to the existence of solutions with a negative probability density. We…

General Physics · Physics 2022-12-14 A. L. Kholmetskii , T. Yarman , O. Missevitch

The Klein-Gordon and Dirac equations in a semi-infinite lab ($x > 0$), in the background metric $\ds^2 = u^2(x) (-\dt^2 + \dx^2) + \dy^2 + \dz^2$, are investigated. The resulting equations are studied for the special case $ u(x) = 1 + g x$.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. Khorrami , M. Alimohammadi , A. Shariati

Using the Nikiforov Uvarov method, an application of the relativistic Duffin Kemmer Petiau equation in the presence of a deformed Hulthen potential is presented for spin zero particles. We derived the first order coupled differential radial…

Quantum Physics · Physics 2009-11-10 Fevziye Yasuk , Cuneyt Berkdemir , Ayse Berkdemir , Coskun Onem

Constraint on spin-dependent and spin-independent Yukawa potential at atomic scale is developed. That covers constraints on a coupling constant of an additional photon $\gamma^*$ and a pseudovector boson. The mass range considered is from…

High Energy Physics - Phenomenology · Physics 2014-11-04 S. G. Karshenboim

We study axially symmetric solutions of the Einstein-Maxwell-Klein-Gordon equations describing spinning gauged boson stars in a 3+1 dimensional asymptotically AdS spacetime. These smooth horizonless solutions possess an electric charge and…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Olga Kichakova , Jutta Kunz , Eugen Radu

In this note we establish LHC limits on a variety of benchmark models for hidden sector physics using 2011 and 2012 data. First, we consider a "hidden" U(1) gauge boson under which all Standard Model particles are uncharged at tree-level…

High Energy Physics - Phenomenology · Physics 2013-07-19 Joerg Jaeckel , Martin Jankowiak , Michael Spannowsky

In this paper we solve analytically Dirac equation for Eckart plus Hulthen potentials with Coulomb-like and Yukawa-like tensor interaction in the presence of Spin and Pseudo-spin Symmetry for any k number. The Parametric Nikiforov-Uvarov…

Nuclear Theory · Physics 2017-02-08 Mohammad Reza Shojaei , Mohsen Mousavi

In the present study, Kummer's eigenvalue spectra from a charged spinless particle located at spherical pseudo-dot of the form $r^2+1/r^2$ is reported. Here, it is shown how confluent hypergeometric functions have principal quantum numbers…

Quantum Physics · Physics 2023-07-12 Sami Ortakaya

We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function are also obtained and expressed in…

Mathematical Physics · Physics 2015-06-03 Akpan N. Ikot , Oladunjoye A. Awoga , Benedict I. Ita

In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of interaction between particles coupled harmonically with a topological defects in Kaluza-Klein theory is…

High Energy Physics - Theory · Physics 2016-07-05 Josevi Carvalho , Alexandre M. de M. Carvalho , Everton Cavalcante , Claudio Furtado

This work studies the relativistic quantum dynamics of scalar bosons in a spacetime containing both a cosmic string and a global monopole within the framework of Rainbow Gravity. An effective metric is constructed to describe the combined…

General Relativity and Quantum Cosmology · Physics 2026-03-02 L. G. Barbosa , J. V. Zamperlini , L. C. N. Santos

We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an…

Nuclear Theory · Physics 2014-01-29 S. M. Ikhdair , B. J. Falaye
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