scholarly journals On representations and correlation functions of Galilean conformal algebras

2009 ◽  
Vol 675 (3-4) ◽  
pp. 393-397 ◽  
Author(s):  
Arjun Bagchi ◽  
Ipsita Mandal
Keyword(s):  
Correlation Functions ◽  
Conformal Algebras

scholarly journals GALILEAN CONFORMAL ALGEBRA IN SEMI-INFINITE SPACE

2012 ◽  
Vol 27 (09) ◽  
pp. 1250044
Author(s):  
M. R. SETARE ◽  
V. KAMALI
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Correlation Functions ◽  
Fixed Time ◽  
Space Time ◽  
Conformal Algebra ◽  
Infinite Space ◽  
Conformal Algebras

In the present paper, we considered Galilean conformal algebras (GCAs), which arises as a contraction relativistic conformal algebras (xi→ϵxi, t→t, ϵ→0). We can use the Galilean conformal (GC) symmetry to constrain two-point and three-point functions. Correlation functions in space–time without boundary condition were found [A. Bagchi and I. Mandal, Phys. Lett. B675, 393 (2009).]. In real situations, there are boundary conditions in space–time, so we have calculated correlation functions for GC invariant fields in semi-infinite space with boundary condition in r = 0. We have calculated two-point and three-point functions with boundary condition in fixed time.

FIDDLE. Simultaneous Indexing and Structure Solution from Powder Diffraction Data using a Genetic Algorithm and Correlation Functions

2019 ◽  
Author(s):  
Carmen Guguta ◽  
Jan M.M. Smits ◽  
Rene de Gelder
Keyword(s):  
Genetic Algorithm ◽  
Powder Diffraction ◽  
Diffraction Data ◽  
Correlation Functions ◽  
Cross Correlation ◽  
Simultaneous Optimization ◽  
Powder Diffraction Data ◽  
Structure Solution ◽  
Matching Technique

A method for the determination of crystal structures from powder diffraction data is presented that circumvents the difficulties associated with separate indexing. For the simultaneous optimization of the parameters that describe a crystal structure a genetic algorithm is used together with a pattern matching technique based on auto and cross correlation functions.<br>

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