Relativistic wave equations for bound states of two scalar particles from scalar quantum electrodynamics

1990 ◽  
Vol 42 (1) ◽  
pp. 69-77 ◽  
Author(s):  
Lixin Xiao ◽  
Jurij W. Darewych ◽  
Marko Horbatsch
Keyword(s):  
Quantum Electrodynamics ◽  
Bound States ◽  
Wave Equations ◽  
Relativistic Wave Equations ◽  
Relativistic Wave ◽  
Scalar Particles ◽  
Scalar Quantum

scholarly journals Generalized relativistic wave equations with intrinsic maximum momentum

2014 ◽  
Vol 29 (15) ◽  
pp. 1450080 ◽  
Author(s):  
Chee Leong Ching ◽  
Wei Khim Ng
Keyword(s):  
Bound States ◽  
Wave Equations ◽  
Scalar Potential ◽  
Bound State ◽  
Relativistic Wave Equations ◽  
Wave Functions ◽  
Relativistic Wave ◽  
One Dimensional ◽  
Nonperturbative Effect ◽  
Klein Gordon

We examine the nonperturbative effect of maximum momentum on the relativistic wave equations. In momentum representation, we obtain the exact eigen-energies and wave functions of one-dimensional Klein–Gordon and Dirac equation with linear confining potentials, and the Dirac oscillator. Bound state solutions are only possible when the strength of scalar potential is stronger than vector potential. The energy spectrum of the systems studied is bounded from above, whereby classical characteristics are observed in the uncertainties of position and momentum operators. Also, there is a truncation in the maximum number of bound states that is allowed. Some of these quantum-gravitational features may have future applications.

scholarly journals RELATIVISTIC WAVE EQUATIONS OF n-BODY SYSTEMS OF FERMIONS AND ANTIFERMIONS OF VARIOUS MASSES IN QUANTUM ELECTRODYNAMICS

2012 ◽  
Vol 21 (11) ◽  
pp. 1250091 ◽  
Author(s):  
MOHSEN EMAMI-RAZAVI ◽  
NANTEL BERGERON ◽  
JURIJ W. DAREWYCH
Keyword(s):  
Variational Method ◽  
Quantum Electrodynamics ◽  
Wave Equations ◽  
Hamiltonian Formalism ◽  
Exchange Interactions ◽  
Relativistic Wave Equations ◽  
Relativistic Wave ◽  
Relativistic Limit ◽  
Photon Exchange

The variational method in a reformulated Hamiltonian formalism of quantum electrodynamics (QED) is used to derive relativistic wave equations for systems consisting of n fermions and antifermions of various masses. The derived interaction kernels of these equations include one-photon exchange interactions. The equations have the expected Schrödinger non-relativistic limit. Application to some exotic few lepton systems is discussed briefly.

Significance of relativistic wave equations for bound states

1992 ◽  
Vol 46 (3) ◽  
pp. 1088-1095 ◽  
Author(s):  
Wolfgang Lucha ◽  
Heinz Rupprecht ◽  
Franz F. Schöberl
Keyword(s):  
Bound States ◽  
Wave Equations ◽  
Relativistic Wave Equations ◽  
Relativistic Wave
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