scholarly journals Investigating István Mayer's “improved” definitions of bond orders and free valence for correlated singlet‐state wave functions

2021 ◽  
Author(s):  
David L. Cooper ◽  
Robert Ponec ◽  
Peter B. Karadakov
Keyword(s):  
Singlet State ◽  
Wave Functions ◽  
Free Valence ◽  
Bond Orders ◽  
State Wave

Self-consistent calculation of excited3P state wave functions of atoms

1971 ◽  
Vol 5 (6) ◽  
pp. 647-655 ◽  
Author(s):  
P. K. Mukherjee ◽  
A. K. Bhattacharya ◽  
A. Mukherji
Keyword(s):  
Wave Functions ◽  
Consistent Calculation ◽  
State Wave ◽  
Self Consistent

RETARDATION EFFECTS IN COVARIANT THREE-DIMENSIONAL BOUND STATE WAVE FUNCTIONS

2005 ◽  
Vol 14 (06) ◽  
pp. 931-947 ◽  
Author(s):  
F. PILOTTO ◽  
M. DILLIG
Keyword(s):  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Relative Energy ◽  
Wave Functions ◽  
Three Dimensions ◽  
State Wave ◽  
Scalar Diquark ◽  
Bound State Wave Function ◽  
Retardation Effects

We investigate the influence of retardation effects on covariant 3-dimensional wave functions for bound hadrons. Within a quark-(scalar) diquark representation of a baryon, the four-dimensional Bethe–Salpeter equation is solved for a 1-rank separable kernel which simulates Coulombic attraction and confinement. We project the manifestly covariant bound state wave function into three dimensions upon integrating out the non-static energy dependence and compare it with solutions of three-dimensional quasi-potential equations obtained from different kinematical projections on the relative energy variable. We find that for long-range interactions, as characteristic in QCD, retardation effects in bound states are of crucial importance.

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