Iwasawa factorization of the pseudo-orthogonal groupSO(5, 1) and its corresponding Lie algebraso(5, 1)

We carry out a structural analysis of the Lie group SO(5, 1) by obtaining its Iwasawa factorization. The Iwasawa factorization at the Lie algebra level is also obtained.     

First principle study of Li-intercalated (5, 5) ZnO nanotube bundles

We have investigated the geometric and electronic structure of Li-intercalated (5, 5) zinc oxide nanotube (ZnONT) bundles via density functional theory as implemented in the code WIEN2k. Our results show that the geometrical structures are changed because of intercalation of lithium. The effect of Li intercalation on the density of state and electronic band structure is a shift of the Fermi energy due to the charge transfer from lithium to the ZnONTs. Although, the bundle of clean (5, 5) ZnONTs is semiconductor, all the Li-intercalated (5, 5) ZnONT bundles are found to be metallic. Both inside of the nanotube and the interstitial spaces are susceptible for intercalation.     

Anti-Su(5)

We discuss ordinary as well as supersymmetric SU(5) ×?(1) models in the hope of accomodating acceptable τ_p and sin²θ_W. The ordinary SU(5) ×?(1) model does not have the monopole. The supersymmetric SU(5) ×?(1) model can be unified in SO(10).     

Intramolecular electron transfer in mixed-valence complexes [(NH3)5Ru-L-Ru(NH3)5]5+ (L = N2, pyz, pym, 4,4’-bipy, bpa)

The dynamics of the intramolecular electron transfer from Ru(II) to Ru(III) in binuclear mixed-valence complexes [NH₃)₅Ru -L-Ru(NH₃)₅]⁵⁺ (L = N₂, pyz, bipy, pym, bpa) is analyzed by the semiempirical CINDO + CI method. Translated from ZhurnalStruktumoi Khimii, Vol. 39, No. 4, pp. 579–590, July–August, 1998.     

Ferromagnetic resonance in epitaxial (Bi,Lu)3(Fe,Ga)5O12(210) films

Ferromagnetic resonance in epitaxial (Bi,Lu)₃(Fe,Ga)₅O₁₂ films grown on Gd₃Ga₅O₁₂(210) substrates is investigated. The spectrum contains a number of peaks, the most intense of which is related to the bulk of the film and the transition layer at the film-substrate interface. Most of the film volume is characterized by reduced magnetic anisotropy. The azimuthal and polar dependences of the resonance field exhibit 180° symmetry.     

Standard enthalpies of formation of finite-length (5, 5) single-walled carbon nanotube

Standard enthalpies of formation ( \Updelta_f H⁰\Updelta_f H^{0}) of finite-length (5, 5) single-walled carbon nanotubes (SWNTs) are calculated with the framework of density functional theory. Approximate expressions of ( \Updelta_f H⁰\Updelta_f H^{0}) have been proposed for both H-terminated and C30-capped (5, 5) SWNTs, based upon which the calculated values of ( \Updelta_f H⁰\Updelta_f H^{0}) have been reproduced within several kilocalories per mole. It is also found that standard enthalpies of formation contributed by per carbon, \Updelta_f H⁰(C\Updelta_f H^{0}({\mathbf C}), oscillate with the increment of the cluster size, suggesting the dependence of the relative stability on the axial length.     

SU(5) monopoles,magnetic symmetry and confinement

The monopoles of the unified SU(5) gauge theory broken down to H_E = SU(3)_c ? U(1)_EM [or to K_E = SU(3)_c ? SU(2) ? U(1)_Y], are classified. They belong to representations of a magnetic group H_M(K_M), which is found to be isomorphic to H_E(K_E). For SU(5) broken down to H_E, there exists a regular and stable monopole which is a colour magnetic triplet, and carries a non-zero abelian magnetic charge. It is suggested that composite operators made out of this monopole and its antiparticle fields develop a non-zero vacuum expectation value, and so lead to a squeezing of the colour electric flux. Finally, we comment on the cosmological production of SU(5) monopoles.     

Applied Physics A 49, No. 5, (1989)

Applied Physics A 49, No. 5, (1989)     

Vibrational Study of the Complexes Pentamethyl Cyclopenta-Dienyldicarbonyl Rhenium Phosphine and Phosphite : (n5-C5Me5)Re(CO)2(PR3) R= Me,OMe, OPh

Abstract

A complete vibrationalassignment of the title compounds is performed from their IR and Raman Spectra. A normal coordinate treatment of these molecules based on a simplified model allow us to confirm most of the experimental assignments.

A comparison of some structural aspects of these complexes with Cp?Re(CO)₃ are also discussed. Additionally, the preparation and characterization of the trimethylphosphite derivative is reported.     

Poincaré subalgebras in so(4, 2) and sl(5, R)

Injective homomorphisms ε which map the Poincaré Lie algebra P into so(4, 2)=C are considered. Two mappings ε₁ and ε₂ are said to be Int-equivalent iff there exists an inner automorphism ρⁱⁿ_c> of C such that ε₁=ρⁱⁿ_cε₂. The set of all ε splits into four Int- equivalence classes. Mappings in different classes are equivalent with respect to non-inner automorphisms of C. A corresponding theorem holds for homomorphisms of P into sl (5, R). These algebraic properties give strong limitations for those integrable representations of P which can be found by restriction of integrable representations of so(4, 2) and of sl(5, R) to ε(P). Physical applications of the results are discussed.     

AdS5 (×)S1,AdS5(×)S5和AdS2(×)S2超弦模型的一种KRR参数化新方法

给出了3种典型超弦模型AdS5 (×)S1,AdS5(×)S5和AdS2(×)S2的一种简单的KRR参数化新方法,并结合这些超弦模型所具有的κ对称性给出了它们的卡当1-form,Maurer-Cartan方程,作用量和运动方程.     

Calculation of excitation functions of the 5 4 , 5 6 , 5 7 , 5 8 Fe(p,n) reaction from threshold to 30 MeV

The cross-sections for the formation of ^54,56,57,58Co in the ^54,56,57,58Fe(p, n) reaction from threshold to 30 MeV protons have been theoretically calculated using the TALYS-1.4 nuclear model code, whereby we have studied major nuclear reaction mechanisms, including direct, pre-equilibrium and compound nuclear reaction. Subsequently, the level density and shell damping parameters have been adjusted and at the same time, the odd–even effects are well comprehended. The excitation functions have been compared with experimental nuclear data. It is observed that the theoretical cross-sections match fairly well. Proton-induced reaction cross-sections provide clues to understand the nuclear structure and offers a good testing ground for ideas about nuclear forces. In addition, complete information in this field is very much required for application in accelerator-driven subcritical system.     

SO(5, 1) dynamical symmetry for electron Zitterbewegung

Electron rest-frame internal canonical coordinates are reobtained by the free-particle Foldy-Wouthuysen transformation: Schrödinger microscopic momentum, Barut-Bracken microscopic coordinate, and the rest Hamiltonian, which describe Zitterbewegung in this frame.SO(4, 1) Snyder space-time invariant quantization is considered in order to construct a dynamical group for Zitterbewegung. The electron's internal structure appears associated with its secondorder self-energy process and governed by the 15-parameter dynamical groupSO(5, 1). This is a generalization of Barut-Bracken symmetry which describes Zitterbewegung as generated by an algebra of the rotation groupSO(5). This noncompact symmetrySO(5, 1) permits a natural interpretation for the operators of its algebra and introduces a generalization to higher-dimensional fermionic representations.     

Applied Physics A 52, no. 5 (1991)

Applied Physics A 52, no. 5 (1991)