scholarly journals Bound states of relativistic particles in reflectionless-type potential

2003 ◽  
Vol 52 (5) ◽  
pp. 1071
Author(s):  
Chen Gang ◽  
Lou Zhi-Mei
Keyword(s):  
Bound States ◽  
Relativistic Particles ◽  
Type Potential

scholarly journals Noninertial effects on a scalar field in a spacetime with a magnetic screw dislocation

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Ricardo L. L. Vitória
Keyword(s):  
Scalar Field ◽  
Screw Dislocation ◽  
Bound States ◽  
Charged Scalar ◽  
Wall Potential ◽  
Noninertial Effects ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Charged Scalar Field ◽  
Type Potential

Abstract We investigate rotating effects on a charged scalar field immersed in spacetime with a magnetic screw dislocation. In addition to the hard-wall potential, which we impose to satisfy a boundary condition from the rotating effect, we insert a Coulomb-type potential and the Klein–Gordon oscillator into this system, where, analytically, we obtain solutions of bound states which are influenced not only by the spacetime topology, but also by the rotating effects, as a Sagnac-type effect modified by the presence of the magnetic screw dislocation.

scholarly journals Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Fernando Romero-López ◽  
Stephen R. Sharpe ◽  
Tyler D. Blanton ◽  
Raúl A. Briceño ◽  
Maxwell T. Hansen
Keyword(s):  
Finite Volume ◽  
Bound States ◽  
Numerical Exploration ◽  
Relativistic Particles

Bound states of relativistic particles in the generalized symmetrical double-well potential

2005 ◽  
Vol 337 (3) ◽  
pp. 189-196 ◽  
Author(s):  
Xing-Qiang Zhao ◽  
Chun-Sheng Jia ◽  
Qiu-Bo Yang
Keyword(s):  
Bound States ◽  
Double Well Potential ◽  
Relativistic Particles

scholarly journals Effects of Two-Dimensional Noncommutative Theories on Bound States Schrödinger Diatomic Molecules under New Modified Kratzer-Type Interactions

2017 ◽  
Vol 76 ◽  
pp. 1-11 ◽  
Author(s):  
Abdelmadjid Maireche
Keyword(s):  
Bound States ◽  
Diatomic Molecules ◽  
Zeeman Effect ◽  
Real Space ◽  
Group Symmetry ◽  
Dimensional System ◽  
Two Dimensional ◽  
Spin Orbital ◽  
Space Phase ◽  
Type Potential

In this work, an analytical expression for the nonrelativistic energy spectrum of some diatomic molecules was obtained through the Bopp’s shift method in the noncommutative (NC) two-dimensional real space-phase symmetries (NC: 2D-RSP) with a new modified Kratzer-type potential (NMKP) in the framework of two infinitesimal parameters and due to (space-phase) noncommutativity, by means of the solution of the noncommutative Schrödinger equation. The perturbation property of the spin-orbital Hamiltonian operator and new Zeeman effect of two-dimensional system are investigated. We have shown that, the new energy of diatomic molecule is the sum of ordinary energy of modified Kratzer-type potential, in commutative space, and new additive terms due to the contribution of the additive part of the NMKP. We have shown also that, the group symmetry of (NC: 2D-RSP) reduce to new sub-group symmetry of NC two-dimensional real space (NC: 2D-RSP) under new modified Kratzer-type interactions.

scholarly journals Bound states of relativistic particles in the second P?schl-Teller potentials

2006 ◽  
Vol 55 (2) ◽  
pp. 525
Author(s):  
Zhang Min-Cang ◽  
Wang Zhen-Bang
Keyword(s):  
Bound States ◽  
Relativistic Particles

scholarly journals Effects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Symmetry Breaking ◽  
Bound States ◽  
Quantum Effect ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Lorentz Symmetry ◽  
Quantum Oscillator ◽  
Symmetry Violation ◽  
Lorentz Symmetry Breaking ◽  
Type Potential

In this paper, we investigate the behaviour of a relativistic quantum oscillator under the effects of Lorentz symmetry violation determined by a tensor (KF)µναβ out of the Standard Model Extension. We analyze the quantum system under a Coulomb-type radial electric field and a uniform magnetic induced by Lorentz symmetry breaking effects under a Cornell-type potential, and obtain the bound states solution by solving the Klein-Gordon oscillator. We see a quantum effect due to the dependence of the angular frequency of the oscillator on the quantum numbers of the system, and the energy eigenvalues and the wave-function of the oscillator field get modified by the Lorentz symmetry breaking parameters as well as due to the presence of Cornell-type potential.

scholarly journals The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ahmet Taş ◽  
Soner Alpdoğan ◽  
Ali Havare
Keyword(s):  
Bound States ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Transmission And Reflection Coefficients ◽  
Scattering States ◽  
Different Types ◽  
Nonrelativistic Quantum Mechanics ◽  
Application Fields ◽  
Type Potential ◽  
Transmission And Reflection

We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (GAMAR) type potential containing the different types of physical potential that have many application fields in the nonrelativistic quantum mechanics and obtain the solutions in terms of the Gauss hypergeometric functions. Then we determine the solutions for scattering and bound states. By using these states we calculate the reflection and transmission coefficients for scattering states and achieve a correlation that gives the energy eigenvalues for the bound states. In addition to these, we show how the transmission and reflection coefficients depend on the parameters which describe shape of the GAMAR type potential and compare our results with the results obtained in earlier studies.

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