General coalescence conditions for the exact wave functions. II. Higher-order relations for many-particle systems

2014 ◽  
Vol 140 (21) ◽  
pp. 214103 ◽  
Author(s):  
Yusaku I. Kurokawa ◽  
Hiroyuki Nakashima ◽  
Hiroshi Nakatsuji
Keyword(s):  
Higher Order ◽  
Particle Systems ◽  
Wave Functions ◽  
Order Relations

General coalescence conditions for the exact wave functions: Higher-order relations for two-particle systems

2013 ◽  
Vol 139 (4) ◽  
pp. 044114 ◽  
Author(s):  
Yusaku I. Kurokawa ◽  
Hiroyuki Nakashima ◽  
Hiroshi Nakatsuji
Keyword(s):  
Higher Order ◽  
Particle Systems ◽  
Wave Functions ◽  
Order Relations

Personality and psychopathology: Higher order relations between the five factor model of personality and the MMPI-2 Restructured Form

2013 ◽  
Vol 47 (5) ◽  
pp. 572-579 ◽  
Author(s):  
Paul T. van der Heijden ◽  
Gina M.P. Rossi ◽  
William M. van der Veld ◽  
Jan J.L. Derksen ◽  
Jos I.M. Egger
Keyword(s):  
Factor Model ◽  
Five Factor Model ◽  
Higher Order ◽  
Order Relations

scholarly journals On the class gamma and related classes of functions

2013 ◽  
Vol 93 (107) ◽  
pp. 1-18 ◽  
Author(s):  
Edward Omey
Keyword(s):  
Uniform Convergence ◽  
Auxiliary Function ◽  
Higher Order ◽  
Representation Theorems ◽  
Order Relations ◽  
Measurable Functions ◽  
Local Uniform Convergence

The gamma class ??(g) consists of positive and measurable functions that satisfy f(x + yg(x))/f(x) ? exp(?y). In most cases the auxiliary function g is Beurling varying and self-neglecting, i.e., g(x)/x ? 0 and g??0(g). Taking h = log f, we find that h?E??(g, 1), where E??(g, a) is the class of positive and measurable functions that satisfy (f(x + yg(x))? f(x))/a(x) ? ?y. In this paper we discuss local uniform convergence for functions in the classes ??(g) and E??(g, a). From this, we obtain several representation theorems. We also prove some higher order relations for functions in the class ??(g) and related classes. Two applications are given.

A general toolbox for the calculation of higher-order molecular properties using SCF wave functions at the one-, two- and four-component levels of theory

2012 ◽  
Author(s):  
Kenneth Ruud ◽  
Radovan Bast ◽  
Bin Gao ◽  
Andreas J. Thorvaldsen ◽  
Ulf Ekström ◽  
...  
Keyword(s):  
Higher Order ◽  
Wave Functions ◽  
Molecular Properties ◽  
The One

scholarly journals On higher order relations in Fedosov supermanifolds

2006 ◽  
Vol 39 (21) ◽  
pp. 6501-6508 ◽  
Author(s):  
P M Lavrov ◽  
O V Radchenko
Keyword(s):  
Higher Order ◽  
Order Relations

scholarly journals SCHRÖDINGER EQUATION FOR HEAVY MESONS EXPANDED IN 1/mQ

1996 ◽  
Vol 11 (03) ◽  
pp. 257-266 ◽  
Author(s):  
TAKAYUKI MATSUKI
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Bound States ◽  
Higher Order ◽  
Wave Functions ◽  
Heavy Mesons ◽  
Higher Order Corrections

Operating just once the naive Foldy-Wouthuysen-Tani transformation on the Schrödinger equation for [Formula: see text] bound states described by a Hamiltonian, we systematically develop a perturbation theory in 1/mQ which enables one to solve the Schrödinger equation to obtain masses and wave functions of the bound states in any order of 1/mQ. There also appear negative components of the wave function in our formulation which contribute also to higher order corrections to masses.

Sign in / Sign up

Export Citation Format

Share Document