scholarly journals The relativistic bound states of Coulomb potential plus a new ring-shaped potential

2006 ◽  
Vol 55 (8) ◽  
pp. 3875
Author(s):  
Chen Chang-Yuan ◽  
Sun Dong-Sheng ◽  
Lu Fa-Lin
Keyword(s):  
Coulomb Potential ◽  
Bound States ◽  
Relativistic Bound States

scholarly journals QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS

2004 ◽  
Vol 01 (02) ◽  
pp. 271-314 ◽  
Author(s):  
JEAN-MARIE BARBAROUX ◽  
MOUEZ DIMASSI ◽  
JEAN-CLAUDE GUILLOT
Keyword(s):  
Current Density ◽  
Coulomb Potential ◽  
Ground State ◽  
Quantum Electrodynamics ◽  
Bound States ◽  
Coupling Constants ◽  
Relativistic Electrons ◽  
Small Coupling ◽  
Electrons And Positrons ◽  
Relativistic Bound States

We consider a Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in the Coulomb potential with photons in Coulomb gauge. The interaction includes both interaction of the current density with transversal photons and the Coulomb interaction of charge density with itself. We prove that the Hamiltonian is self-adjoint and has a ground state for sufficiently small coupling constants.

scholarly journals On relativistic entanglement and localization of particles and on their comparison with the nonrelativistic theory

2014 ◽  
Vol 29 (29) ◽  
pp. 1450163 ◽  
Author(s):  
Horace W. Crater ◽  
Luca Lusanna
Keyword(s):  
Bound States ◽  
Clock Synchronization ◽  
Center Of Mass ◽  
Particle Beams ◽  
Open Problems ◽  
Inertial Frames ◽  
Classical Trajectories ◽  
Particle Localization ◽  
Relativistic Bound States ◽  
Classical And Quantum Mechanics

We make a critical comparison of relativistic and nonrelativistic classical and quantum mechanics of particles in inertial frames as well of the open problems in particle localization at both levels. The solution of the problems of the relativistic center-of-mass, of the clock synchronization convention needed to define relativistic 3-spaces and of the elimination of the relative times in the relativistic bound states leads to a description with a decoupled nonlocal (nonmeasurable) relativistic center-of-mass and with only relative variables for the particles (single particle subsystems do not exist). We analyze the implications for entanglement of this relativistic spatial nonseparability not existing in nonrelativistic entanglement. Then, we try to reconcile the two visions showing that also at the nonrelativistic level in real experiments only relative variables are measured with their directions determined by the effective mean classical trajectories of particle beams present in the experiment. The existing results about the nonrelativistic and relativistic localization of particles and atoms support the view that detectors only identify effective particles following this type of trajectories: these objects are the phenomenological emergent aspect of the notion of particle defined by means of the Fock spaces of quantum field theory.

scholarly journals The relativistic bound states of a non-central potential

Pramana ◽  
2017 ◽  
Vol 88 (4) ◽  
Author(s):  
MAHDI ESHGHI ◽  
HOSSEIN MEHRABAN ◽  
SAMEER M IKHDAIR
Keyword(s):  
Bound States ◽  
Central Potential ◽  
Relativistic Bound States

scholarly journals Electromagnetic scattering from relativistic bound states

1993 ◽  
Vol 48 (3) ◽  
pp. R973-R977 ◽  
Author(s):  
N. K. Devine ◽  
S. J. Wallace
Keyword(s):  
Electromagnetic Scattering ◽  
Bound States ◽  
Relativistic Bound States

Relativistic bound states in three space-time dimensions in Minkowski space

2016 ◽  
Author(s):  
C. Gutierrez ◽  
V. Gigante ◽  
T. Frederico ◽  
Lauro Tomio
Keyword(s):  
Minkowski Space ◽  
Bound States ◽  
Space Time ◽  
Relativistic Bound States ◽  
Three Space

Properties of relativistic bound states

1966 ◽  
Vol 46 (1) ◽  
pp. 162-170 ◽  
Author(s):  
M. Ciafaloni ◽  
P. Menotti
Keyword(s):  
Bound States ◽  
Relativistic Bound States

scholarly journals The spinless relativistic Hellmann problem

2019 ◽  
Vol 34 (05) ◽  
pp. 1950028
Author(s):  
Wolfgang Lucha ◽  
Franz F. Schöberl
Keyword(s):  
Coulomb Potential ◽  
Bound States ◽  
Yukawa Potential ◽  
Equations Of Motion ◽  
Kinetic Term ◽  
Discrete Eigenvalue ◽  
Hellmann Potential ◽  
Relativistic Equations

We compile some easily deducible information on the discrete eigenvalue spectra of spinless Salpeter equations encompassing, besides a relativistic kinetic term, interactions which are expressible as superpositions of an attractive Coulomb potential and an either attractive or repulsive Yukawa potential and, hence, generalizations of the Hellmann potential employed in several areas of science. These insights should provide useful guidelines to all attempts of finding appropriate descriptions of bound states by (semi-)relativistic equations of motion.

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