About matrix elements of spatial translations in local field theories

1993 ◽  
Vol 28 (1) ◽  
pp. 49-58
Author(s):  
Launey J. Thomas ◽  
Eyvind H. Wichmann
Keyword(s):  
Local Field ◽  
Field Theories ◽  
Matrix Elements

Formulas for the matrix elements of connected diagrams in field theories

1960 ◽  
Vol 17 (2) ◽  
pp. 244-250
Author(s):  
F. R. Halpern
Keyword(s):  
Field Theories ◽  
Matrix Elements ◽  
The Matrix

Propositional systems in local field theories

1981 ◽  
Vol 20 (3) ◽  
pp. 147-169 ◽  
Author(s):  
Mikl�s Banai
Keyword(s):  
Local Field ◽  
Field Theories

ON THE WAY TOWARDS INCREASING THE PREDICTIVE POWER OF THE NUCLEAR MEAN FIELD THEORIES: EVALUATION OF TWO-BODY MATRIX ELEMENTS

2012 ◽  
Vol 21 (05) ◽  
pp. 1250037
Author(s):  
HERVÉ MOLIQUE ◽  
JERZY DUDEK
Keyword(s):  
Inverse Problem ◽  
Predictive Power ◽  
Mean Field ◽  
Field Theories ◽  
Matrix Elements ◽  
The Matrix ◽  
Ill Posed ◽  
Technical Issues ◽  
Numerical Precision ◽  
Mean Field Theories

In this paper we collect a number of technical issues that arise when constructing the matrix representation of the most general nuclear mean field Hamiltonian within which "all terms allowed by general symmetries are considered not only in principle but also in practice". Such a general posing of the problem is necessary when investigating the predictive power of the mean field theories by means of the well-posed inverse problem. [J. Dudek et al., Int. J. Mod. Phys. E21 (2012) 1250053]. To our knowledge quite often ill-posed mean field inverse problems arise in practical realizations what makes reliable extrapolations into the unknown areas of nuclei impossible. The conceptual and technical issues related to the inverse problem have been discussed in the above-mentioned topic whereas here we focus on "how to calculate the matrix elements, fast and with high numerical precision when solving the inverse problem" [For space-limitation reasons we illustrate the principal techniques on the example of the central interactions].

The current algebra on the circle as a germ of local field theories

1988 ◽  
Vol 5 (2) ◽  
pp. 20-56 ◽  
Author(s):  
Detlev Buchholz ◽  
Gerhard Mack ◽  
Ivan Todorov
Keyword(s):  
Local Field ◽  
Current Algebra ◽  
Field Theories

On differential conservation laws in non-local field theories

1953 ◽  
Vol 10 (2) ◽  
pp. 182-185 ◽  
Author(s):  
J. Rzewuski
Keyword(s):  
Conservation Laws ◽  
Local Field ◽  
Field Theories ◽  
Non Local

On the hamiltonian structure of non-local field theories

1953 ◽  
Vol 10 (5) ◽  
pp. 648-667 ◽  
Author(s):  
W. Pauli
Keyword(s):  
Local Field ◽  
Hamiltonian Structure ◽  
Field Theories ◽  
Non Local

EVALUATION OF LINEAR AND NONLINEAR MICROSCOPIC POLARIZABILITIES OF C60

1992 ◽  
Vol 06 (23n24) ◽  
pp. 3893-3901 ◽  
Author(s):  
Erik Westin ◽  
Arne Rosén
Keyword(s):  
Electronic Structure ◽  
Local Field ◽  
Ground State ◽  
Reasonable Agreement ◽  
Local Density ◽  
Density Approximation ◽  
Matrix Elements ◽  
Yield Values ◽  
Linear And Nonlinear ◽  
Centrosymmetric Molecule

The electronic structure of C 60 and some of its doped compounds have earlier been investigated at the level of the local density approximation, LDA, using a numerical LCAO approach. In this study, single particle wavefunctions determined from ground state LDA calculations are used for evaluation of dipole matrix elements which combined with a sum over state approach yield linear and nonlinear microscopic polarizabilities γ(1) and γ(3), respectively. Lorentz local field factors, as well as a simple RPA type correction are introduced to facilitate comparison with the dielectric function ε(ω) determined from films of C 60. γ(2) for a centrosymmetric molecule such as C 60 is zero and the lowest non-zero contribution to the polarizability is γ(3). Reasonable agreement is found with results from linear optical response experiments i.e. ellipsometric and EELS measurements on C 60 in solid or solution form. SHG, THG and DFWM experiments yield values close to the unscreened result, while invoking a RPA screening results in a non-resonant value about 2 orders of magnitude lower than most experiments.

scholarly journals The energy-momentum spectrum in local field theories with broken Lorentz-symmetry

1985 ◽  
Vol 97 (1-2) ◽  
pp. 169-185 ◽  
Author(s):  
Hans-J�rgen Borchers ◽  
Detlev Buchholz
Keyword(s):  
Local Field ◽  
Lorentz Symmetry ◽  
Momentum Spectrum ◽  
Field Theories

Thermodynamics and cosmological constant of non-local field theories from p-adic strings

2010 ◽  
Vol 2010 (10) ◽  
Author(s):  
Tirthabir Biswas ◽  
Jose A. R. Cembranos ◽  
Joseph I. Kapusta
Keyword(s):  
Cosmological Constant ◽  
Local Field ◽  
Field Theories ◽  
Non Local
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