Two‐dimensional electronic spectrum simulation of simple photosynthetic complex models with semi‐classical Poisson bracket mapping equation

2022 ◽  
Author(s):  
Hyun Woo Kim ◽  
Young Min Rhee
Keyword(s):  
Poisson Bracket ◽  
Electronic Spectrum ◽  
Two Dimensional ◽  
Spectrum Simulation ◽  
Mapping Equation ◽  
Complex Models

FOURIER ANALYSIS OVER HYPERBOLIC ALGEBRA, PSEUDO-DIFFERENTIAL OPERATORS, AND HYPERBOLIC DEFORMATION OF CLASSICAL MECHANICS

2007 ◽  
Vol 10 (03) ◽  
pp. 421-438 ◽  
Author(s):  
ANDREI KHRENNIKOV
Keyword(s):  
Quantum Mechanics ◽  
Fourier Analysis ◽  
Poisson Bracket ◽  
Commutative Algebra ◽  
Differential Operators ◽  
Classical Mechanics ◽  
Complex Numbers ◽  
Two Dimensional ◽  
Quantum Deformation ◽  
Pseudo Differential Operators

We develop Fourier analysis over hyperbolic algebra (the two-dimensional commutative algebra with the basis e1 = 1, e2 = j, where j2 = 1). We demonstrated that classical mechanics has, besides the well-known quantum deformation over complex numbers, another deformation — so-called hyperbolic quantum mechanics. The classical Poisson bracket can be obtained as the limit h → 0 not only of the ordinary Moyal bracket, but also a hyperbolic analogue of the Moyal bracket.

scholarly journals Hamiltonian Formulation of Two-Dimensional Gyroviscous MHD

1984 ◽  
Vol 39 (11) ◽  
pp. 1023-1027 ◽  
Author(s):  
Philip J. Morrison ◽  
I. L. Caldas ◽  
H. Tasso
Keyword(s):  
Field Theory ◽  
Poisson Bracket ◽  
Lie Algebra ◽  
Hamiltonian Formulation ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Poisson Type

Gyroviscous MHD in two dimensions is shown to be a Hamiltonian field theory in terms of a non-canonical Poisson bracket. This bracket is of the Lie-Poisson type, but possesses an unfamiliar inner Lie algebra. Analysis of this algebra motivates a transformation that enables a Clebsch-like potential decomposition that makes Lagrangian and canonical Hamiltonian formulations possible.

scholarly journals THE CONSERVED CHARGES AND INTEGRABILITY OF THE CONFORMAL AFFINE TODA MODELS

1994 ◽  
Vol 09 (30) ◽  
pp. 2783-2801 ◽  
Author(s):  
H. ARATYN ◽  
L. A. FERREIRA ◽  
J. F. GOMES ◽  
A. H. ZIMERMAN
Keyword(s):  
Poisson Bracket ◽  
Equations Of Motion ◽  
Curvature Form ◽  
Two Dimensional ◽  
Conserved Charges ◽  
Zero Curvature ◽  
Algebraic Properties ◽  
Toda Model ◽  
Infinite Sets ◽  
Poisson Commute

We construct infinite sets of local conserved charges for the conformal affine Toda model. The technique involves the abelianization of the two-dimensional gauge potentials satisfying the zero-curvature form of the equations of motion. We find two infinite sets of chiral charges and apart from two lowest spin charges, all the remaining ones do not possess chiral densities. Charges of different chiralities Poisson commute among themselves. We discuss the algebraic properties of these charges and use the fundamental Poisson bracket relation to show that the charges conserved in time are in involution. Connections to other Toda models are established by taking particular limits.

Electronic spectrum of a two-dimensional Fibonacci lattice

1999 ◽  
Vol 89 (5) ◽  
pp. 995-999 ◽  
Author(s):  
Yu. Kh. Vekilov ◽  
I. A. Gordeev ◽  
É. I. Isaev
Keyword(s):  
Electronic Spectrum ◽  
Two Dimensional ◽  
Fibonacci Lattice

scholarly journals Modeling of Two-Dimensional Light Bullets Propagation in an Array of Carbon Nanotubes Taking into Account the Mechanical Tension and Magnetic Field

2020 ◽  
pp. 36-44
Author(s):  
Natalia Konobeeva ◽  
Dmitry Skvortsov
Keyword(s):  
Magnetic Field ◽  
Carbon Nanotubes ◽  
Gauge Theory ◽  
Magnetic Fields ◽  
Electronic Spectrum ◽  
Acoustic Field ◽  
Two Dimensional ◽  
Mechanical Tension ◽  
Light Bullet ◽  
The Magnetic Field

In this paper, we study the influence of acoustic and magnetic fields on the propagation of twodimensional light bullet in an array of carbon nanotubes. The acoustic field is taken into account in the framework of the gauge theory. A magnetic field is applied along the nanotube axis and leads to a change in the electronic spectrum of ?electrons. It is shown, that the pulse stably propagates in the medium, taking into account both of these factors. In this case, the magnetic field and tension slows down the pulse, as well as changes its amplitude.

Electronic Spectrum of Wannier Excitons in Quasi-Two-Dimensional Structures

1980 ◽  
Vol 98 (2) ◽  
pp. 527-534 ◽  
Author(s):  
N. N. Kolychev ◽  
G. G. Tarasov ◽  
A. M. Yaremko ◽  
V. I. Sheka
Keyword(s):  
Electronic Spectrum ◽  
Two Dimensional
Sign in / Sign up

Export Citation Format

Share Document