scholarly journals Nonrelativistic Charged Particle-Magnetic Monopole Scattering in the Global Monopole Background

2003 ◽  
Vol 18 (18) ◽  
pp. 3175-3187 ◽  
Author(s):  
A. L. Cavalcanti de Oliveira ◽  
E. R. Bezerra de Mello
Keyword(s):  
Charged Particle ◽  
Energy Spectrum ◽  
Magnetic Monopole ◽  
Scattering Problem ◽  
Quantum Scattering ◽  
Global Monopole ◽  
Nonrelativistic Quantum ◽  
Geometric Effects

We analyze the nonrelativistic quantum scattering problem of a charged particle by an Abelian magnetic monopole in the background of a global monopole. In addition to the magnetic and geometric effects, we consider the influence of the electrostatic self-interaction on the charged particle. Moreover, for the specific case where the electrostatic self-interaction becomes attractive, the charged particle-monopole bound system can be formed and the respective energy spectrum is a hydrogen-like one.

scholarly journals Nonrelativistic Scattering Analysis of Charged Particle by a Magnetic Monopole in the Global Monopole Background

2003 ◽  
Vol 18 (12) ◽  
pp. 2051-2057 ◽  
Author(s):  
A. L. Cavalcanti de Oliveira ◽  
E. R. Bezerra de Mello
Keyword(s):  
Charged Particle ◽  
Energy Spectrum ◽  
Magnetic Monopole ◽  
Scattering Problem ◽  
Quantum Scattering ◽  
Global Monopole ◽  
Nonrelativistic Quantum ◽  
Nonrelativistic Scattering ◽  
Geometric Effects

We analyze the nonrelativistic quantum scattering problem of a charged particle by an Abelian magnetic monopole in the background of a global monopole. In addition to the magnetic and geometric effects, we consider the influence of the electrostatic self-interaction on the charged particle. Moreover, for the specific case where the electrostatic self-interaction becomes attractive, charged particle-monopole bound system can be formed and the respective energy spectrum is hydrogen-like one.

REMARKS ON SOME QUANTUM EFFECTS IN A GLOBAL MONOPOLE SPACE–TIME

2001 ◽  
Vol 16 (19) ◽  
pp. 1253-1262 ◽  
Author(s):  
GEUSA DE A. MARQUES ◽  
VALDIR B. BEZERRA
Keyword(s):  
Energy Spectrum ◽  
Free Space ◽  
Scattering Amplitude ◽  
Quantum Particle ◽  
Quantum Effects ◽  
Space Time ◽  
Global Monopole ◽  
Nonrelativistic Quantum ◽  
Molecular Potential ◽  
Massive Particles

We study the behaviour of a nonrelativistic quantum particle interacting with the Kratzer molecular potential in the space–time of a global monopole. We find the energy spectrum and derive the scattering amplitude of massive particles propagating in these fields and show how they differ from their free-space values.

ELECTROMAGNETIC CONTROL OF DYNAMICAL LOCALIZATION CONDITIONS IN 1D LATTICES WITH LONG-RANGE INTERSITE INTERACTIONS

2009 ◽  
Vol 07 (supp01) ◽  
pp. 149-154
Author(s):  
MARIA ANASTASIA JIVULESCU ◽  
ROSANNA MIGLIORE ◽  
ANTONINO MESSINA
Keyword(s):  
Charged Particle ◽  
Energy Spectrum ◽  
Electric Field ◽  
Long Range ◽  
Dynamical Localization ◽  
Bichromatic Field ◽  
Electromagnetic Control ◽  
Tunneling Dynamics ◽  
Localization Conditions

In this paper we investigate the possibility of controlling dynamical localization conditions for a charged particle confined in a 1D lattice biased with a dc-bichromatic field and long-range intersite interactions. We derive the quasi-energy spectrum of the system proving that the tunneling dynamics of the particle can be destroyed provided that the parameters of the external irradiating electric field are properly chosen.

General N-Body Theory of Nonrelativistic Quantum Scattering

1999 ◽  
Vol 27 (3-4) ◽  
pp. 207-249
Author(s):  
C. Chandler ◽  
A. G. Gibson
Keyword(s):  
Quantum Scattering ◽  
Nonrelativistic Quantum ◽  
Body Theory

scholarly journals Graviatoms with de Sitter Interior

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Irina Dymnikova ◽  
Michael Fil’chenkov
Keyword(s):  
Black Hole ◽  
Dark Matter ◽  
Dark Energy ◽  
Charged Particle ◽  
Energy Spectrum ◽  
Primordial Black Hole ◽  
De Sitter ◽  
Fundamental Symmetry ◽  
Gravitational Vacuum ◽  
De Sitter Vacuum

We present a graviatom with de Sitter interior as a new candidate to atomic dark matter generically related to a vacuum dark energy through its de Sitter vacuum interior. It is a gravitationally bound quantum system consisting of a nucleus represented by a regular primordial black hole (RPBH), its remnant or gravitational vacuum soliton G-lump, and a charged particle. We estimate probability of formation of RPBHs and G-lumps in the early Universe and evaluate energy spectrum and electromagnetic radiation of graviatom which can in principle bear information about a fundamental symmetry scale responsible for de Sitter interior and serve as its observational signatures.

Topological quantum scattering under the influence of a nontrivial boundary condition

2016 ◽  
Vol 31 (11) ◽  
pp. 1650074 ◽  
Author(s):  
Herondy Mota
Keyword(s):  
Boundary Condition ◽  
Phase Shift ◽  
Gordon Equation ◽  
Scattering Problem ◽  
Quantum Scattering ◽  
Topological Quantum ◽  
Klein Gordon ◽  
Bohm Effect ◽  
Aharonov Bohm

We consider the quantum scattering problem of a relativistic particle in (2 + 1)-dimensional cosmic string spacetime under the influence of a nontrivial boundary condition imposed on the solution of the Klein–Gordon equation. The solution is then shifted as consequence of the nontrivial boundary condition and the role of the phase shift is to produce an Aharonov–Bohm-like effect. We examine the connection between this phase shift and the electromagnetic and gravitational analogous of the Aharonov–Bohm effect and compare the present results with previous ones obtained in the literature, also considering non-relativistic cases.

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