Critical coupling constants for relativistic wave equations and vacuum breakdown in quantum electrodynamics

1985 ◽  
Vol 31 (4) ◽  
pp. 2020-2029 ◽  
Author(s):  
G. Hardekopf ◽  
J. Sucher
2012 ◽  
Vol 21 (11) ◽  
pp. 1250091 ◽  
Author(s):  
MOHSEN EMAMI-RAZAVI ◽  
NANTEL BERGERON ◽  
JURIJ W. DAREWYCH

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.


1997 ◽  
Vol 30 (11) ◽  
pp. 4005-4017 ◽  
Author(s):  
R-K Loide ◽  
I Ots ◽  
R Saar

1966 ◽  
Vol 9 (4) ◽  
pp. 99-103 ◽  
Author(s):  
V. S. Tumanov

1955 ◽  
Vol 98 (3) ◽  
pp. 801-802 ◽  
Author(s):  
Herman Feshbach

2018 ◽  
Vol 3 (1) ◽  
pp. 03-09 ◽  
Author(s):  
Hitler Louis ◽  
Ita B. Iserom ◽  
Ozioma U. Akakuru ◽  
Nelson A. Nzeata-Ibe ◽  
Alexander I. Ikeuba ◽  
...  

An exact analytical and approximate solution of the relativistic and non-relativistic wave equations for central potentials has attracted enormous interest in recent years. By using the basic Nikiforov-Uvarov quantum mechanical concepts and formalism, the energy eigenvalue equations and the corresponding wave functions of the Klein–Gordon and Schrodinger equations with the interaction of Modified Hylleraas-Hulthen Potentials (MHHP) were obtained using the conventional Pekeris-type approximation scheme to the orbital centrifugal term. The corresponding unnormalized eigen functions are evaluated in terms of Jacobi polynomials.


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