Path Integral Analysis From the D-Dimensional Generalized Displacement Operator, and Some of Their Applications

2021 ◽  
Author(s):  
A. Benkrane ◽  
H. Benzair
Keyword(s):  
Path Integral ◽  
Displacement Operator ◽  
Integral Analysis

scholarly journals A NOTE ON THE ANALYSIS OF A HETEROGENEOUS ROD-LIKE CHAIN IN DNA MODELING

2008 ◽  
Vol 22 (14) ◽  
pp. 2213-2224
Author(s):  
YAN DING ◽  
TIEJUN LI
Keyword(s):  
Path Integral ◽  
Lie Group ◽  
Persistence Length ◽  
Elastic Behavior ◽  
Suitable Model ◽  
Weak Disorder ◽  
Integral Analysis ◽  
Basic Model ◽  
Random Forcing ◽  
Sequence Dependent

Two different results concerning the elastic behavior of the heterogeneous worm-like chain (WLC) [D. Bensimon et al., Europhys. Lett.42, 97 (1998)] and rod-like chain (RLC) [P. Nelson, Phys. Rev. Lett.80, 5810 (1998)] are compared. We argue that the RLC is a more suitable model for double-stranded (ds-) DNA. As the hetero-RLC is the basic model for studying sequence-dependent ds-DNA, a rigorous path integral analysis for the effective bending persistence length is performed in the weak disorder limit. The novelty of the paper is in analyzing a path integral on the Lie group SO(3) with random forcing, which supplies a rigorous basis for the analysis of RLC type models.

Classical and path integral analysis of a solvable model with Gribov problems

1998 ◽  
Author(s):  
V. M. Villanueva ◽  
Jan Govaerts ◽  
J. L. M. Lucio
Keyword(s):  
Path Integral ◽  
Solvable Model ◽  
Integral Analysis

scholarly journals Path-integral analysis of fluctuation theorems for general Langevin processes

2006 ◽  
Vol 2006 (08) ◽  
pp. P08001-P08001 ◽  
Author(s):  
Vladimir Y Chernyak ◽  
Michael Chertkov ◽  
Christopher Jarzynski
Keyword(s):  
Path Integral ◽  
Fluctuation Theorems ◽  
Integral Analysis

scholarly journals A Path-Integral Analysis of Interacting Bose Gases and Loop Gases

2020 ◽  
Vol 180 (1-6) ◽  
pp. 810-831
Author(s):  
Jürg Fröhlich ◽  
Antti Knowles ◽  
Benjamin Schlein ◽  
Vedran Sohinger
Keyword(s):  
Path Integral ◽  
Bose Gases ◽  
Integral Analysis
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