A generalized Davydov model with interspine coupling and its integrable discretization

2012 ◽  
Vol 86 (2) ◽  
pp. 025003 ◽  
Author(s):  
S Saravana Veni ◽  
M M Latha
Keyword(s):  
Integrable Discretization ◽  
Davydov Model

scholarly journals Chiroptical Symmetry Analysis: Exciton Chirality-Based Formulae to Understand the Chiroptical Responses of Cn and Dn Symmetric Systems

Molecules ◽  
2019 ◽  
Vol 24 (1) ◽  
pp. 141 ◽  
Author(s):  
Silvia Castro-Fernández ◽  
Ángeles Peña-Gallego ◽  
Ricardo A. Mosquera ◽  
José Lorenzo Alonso-Gómez
Keyword(s):  
Present Article ◽  
Conformational Changes ◽  
High Sensitivity ◽  
Symmetry Analysis ◽  
Supramolecular Interactions ◽  
Selection Rules ◽  
Higher Symmetries ◽  
Large Systems ◽  
Davydov Model ◽  
Symmetric Systems

The high sensitivity of chiroptical responses to conformational changes and supramolecular interactions has prompted an increasing interest in the development of chiroptical applications. However, prediction of and understanding the chiroptical responses of the necessary large systems may not be affordable for calculations at high levels of theory. In order to facilitate the development of chiroptical applications, methodologies capable of evaluating the chiroptical responses of large systems are necessary. The exciton chirality method has been extensively used for the interaction between two independent chromophores through the Davydov model. For systems presenting C2 or D2 symmetry, one can get the same results by applying the selection rules. In the present article, the analysis of the selection rules for systems with symmetries Cn and Dn with n = 3 and 4 is used to uncover the origin of their chiroptical responses. We foresee that the use of the Chiroptical Symmetry Analysis (CSA) for systems presenting the symmetries explored herein, as well as for systems presenting higher symmetries will serve as a useful tool for the development of chiroptical applications.

Features of the Davydov model

1969 ◽  
Vol 129 (2) ◽  
pp. 434-444 ◽  
Author(s):  
S.M. Abecasis ◽  
H.E. Bosch ◽  
A. Plastino
Keyword(s):  
Davydov Model

Dynamics of the Davydov model inalpha-helical proteins: Effects of the coupling parameter and temperature

1986 ◽  
Vol 33 (2) ◽  
pp. 1188-1201 ◽  
Author(s):  
Albert F. Lawrence ◽  
James C. McDaniel ◽  
David B. Chang ◽  
Brian M. Pierce ◽  
Robert R. Birge
Keyword(s):  
Coupling Parameter ◽  
Helical Proteins ◽  
Davydov Model

Energy level calculations in Davydov model

1971 ◽  
Vol 2 (1) ◽  
pp. 33-39 ◽  
Author(s):  
S.M. Abecasis ◽  
F.R. Femenia ◽  
E.S. Hernandez
Keyword(s):  
Energy Level ◽  
Davydov Model

scholarly journals On some new forms of lattice integrable equations

Open Physics ◽  
2014 ◽  
Vol 12 (5) ◽  
Author(s):  
Corina Babalic ◽  
Adrian Carstea
Keyword(s):  
Bilinear Form ◽  
Gordon Equation ◽  
Discrete Systems ◽  
Travelling Wave ◽  
Higher Order ◽  
Sine Gordon Equation ◽  
Integrable Discretization ◽  
Miura Transformations ◽  
Hirota Bilinear ◽  
Wave Reduction

AbstractInspired by the forms of delay-Painleve equations, we consider some new differential-discrete systems of KdV, mKdV and Sine-Gordon — type related by simple one way Miura transformations to classical ones. Using Hirota bilinear formalism we construct their new integrable discretizations, some of them having higher order. In particular, by this procedure, we show that the integrable discretization of intermediate sine-Gordon equation is exactly lattice mKdV and also we find a bilinear form of the recently proposed lattice Tzitzeica equation. Also the travelling wave reduction of these new lattice equations is studied and it is shown that all of them, including the higher order ones, can be integrated to Quispel-Roberts-Thomson (QRT) mappings.

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