Functional Meaning of the Symmetry Structure in Phycobiliprotein Aggregates

1998 ◽  
pp. 193-196
Author(s):  
H. Kikuchi ◽  
H. Wako ◽  
M. Go ◽  
M. Mimuro
Keyword(s):  
Symmetry Structure

scholarly journals $q$ -Racah Ensemble and Discrete Painlevé Equation

2019 ◽  
Vol 2020 (24) ◽  
pp. 9797-9843 ◽  
Author(s):  
Anton Dzhamay ◽  
Alisa Knizel
Keyword(s):  
Orthogonal Polynomial ◽  
Lax Pair ◽  
Painlevé Equations ◽  
Painlevé Equation ◽  
Painleve Equations ◽  
Symmetry Structure ◽  
The One ◽  
The Relationship ◽  
Gap Probabilities ◽  
Discrete Painlevé Equation

Abstract The goal of this paper is to investigate the missing part of the story about the relationship between the orthogonal polynomial ensembles and Painlevé equations. Namely, we consider the $q$-Racah polynomial ensemble and show that the one-interval gap probabilities in this case can be expressed through a solution of the discrete $q$-P$\left (E_7^{(1)}/A_{1}^{(1)}\right )$ equation. Our approach also gives a new Lax pair for this equation. This Lax pair has an interesting additional involutive symmetry structure.

Isospin and Symmetry Structure in 36 Ar

2007 ◽  
Vol 48 (6) ◽  
pp. 1067-1071 ◽  
Author(s):  
Bai Hong-Bo ◽  
Zhang Jin-Fu ◽  
Cao Wan-Cang ◽  
Lü Li-Jun ◽  
Zhaorigt ◽  
...  
Keyword(s):  
Symmetry Structure

Reconstructed Structure of SiO2/Si(111) Interface

1990 ◽  
Vol 208 ◽  
Author(s):  
Ichiro Hirosawa ◽  
Jun'ichiro Nizuki ◽  
Toru Tatsumi ◽  
Koichi Akimoto ◽  
Junji Matsui
Keyword(s):  
Molecular Beam ◽  
Structural Model ◽  
Oxidation Process ◽  
Grazing Incidence ◽  
Interface Structure ◽  
X Ray Diffraction ◽  
Initial Oxidation ◽  
X Ray ◽  
Diffraction Geometry ◽  
Symmetry Structure

ABSTRACTIn order to investigate the initial oxidation process Qf the Si (111) surface, we have studied the molecular beam deposited Si0 2/Si(111)-7×7 interface structure using grazing incidence X-ray diffraction geometry. We suggest a three-fold symmetry structural model composed of stacking fault layer, dimer layer and additional ordered atoms. The three-fold symmetry structure comes from the preference for oxidation in the faulted half of the 7×7 structure.

Temperature Dependent Raman Scattering in CsTiOAsO4 Single Crystal

1995 ◽  
Vol 398 ◽  
Author(s):  
A.R. Guo ◽  
C.-S. Tu ◽  
Ruiwu Tao ◽  
R.S. Katiyar ◽  
Ruyan Guo ◽  
...  
Keyword(s):  
Soft Mode ◽  
Low Frequency ◽  
High Mobility ◽  
Vibrational Modes ◽  
Frequency Range ◽  
Temperature Dependent ◽  
Higher Symmetry ◽  
Phonon Spectra ◽  
Symmetry Structure ◽  
Increasing Temperature

ABSTRACTThe longitudinal (LO) and transverse (TO) A1 vibrational modes have been measured between 30-1200 cm−1 as a function of temperature (30–1240 K) for CsTiOAsO4 (CTA). The frequencies for all corresponding Raman components shifted to lower frequencies on increasing the temperature, however, there is no typical soft-mode like behavior observed in the measured frequency range. The relative intensities of the low frequency bands increase dramatically with increasing temperature due to high mobility of Cs+ ion. A higher symmetry structure taking place above 940K has been confirmed by changes in the phonon spectra.

scholarly journals SYMMETRY STRUCTURE OF 2+1 DIMENSIONAL BILINEAR SAWADA-KOTERA EQUATION

1994 ◽  
Vol 43 (7) ◽  
pp. 1050 ◽  
Author(s):  
LOU SEN-YUE ◽  
YU JUN ◽  
WENG JIAN-PIN ◽  
QIAN XIAN-MIN
Keyword(s):  
Symmetry Structure

Symmetry structure of a wave equation on some classes of Bianchi cosmological models

2014 ◽  
Vol 89 (4) ◽  
pp. 411-416 ◽  
Author(s):  
S. Jamal ◽  
A. H. Kara ◽  
R. Narain ◽  
G. Shabbir
Keyword(s):  
Wave Equation ◽  
Cosmological Models ◽  
Symmetry Structure

ARITHMETIC QUANTUM GRAVITY

2010 ◽  
Vol 19 (14) ◽  
pp. 2305-2310 ◽  
Author(s):  
AXEL KLEINSCHMIDT ◽  
HERMANN NICOLAI
Keyword(s):  
Quantum Gravity ◽  
Algebraic Structure ◽  
Complete Resolution ◽  
Quantum Level ◽  
Cosmological Singularity ◽  
Quantum Billiard ◽  
Symmetry Structure ◽  
Canonical Quantum Gravity ◽  
The Universe ◽  
Canonical Quantum

The arithmetic chaos of classical (super)gravity near a spacelike singularity is elevated to the quantum level via the construction of a cosmological quantum billiard system. Its precise formulation, together with its underlying algebraic structure, allows for a general analysis of the wavefunction of the universe near the singularity. We argue that the extension of these results beyond the billiard approximation may provide a concrete mechanism for emergent space as well as new perspectives on several long-standing issues in canonical quantum gravity. The exponentially growing complexity of the underlying symmetry structure could introduce an element of non-computability that effectively "screens" the cosmological singularity from a complete resolution.

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