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The Origin and Mathematical Characteristics of the Super-Universal Associated-Legendre Polynomials

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Communications in Theoretical Physics 2014年第9期61卷 331-337页

作者：陈昌远尤源陆法林孙东升董世海 School of Physics and Electronics Yancheng Teachers University Escuela Superior de Físicay matemáticas Instituto Politécnico Nacional Edificio 9 Unidad Profesional Adolfo López Mateos Mexico D.F. 07738 Mexico department of Physics and Astronomy Louisiana State University Baton Rouge LA 70803-4001 USA

We study the mathematical characteristics of the super-universal associated-Legendre polynomials arising from a kind of double ring-shaped potentials and obtain their polar angular wave functions with certain parity. We find that there exists the even or odd parity for the polar angular wave functions when the parameter η is taken to be positive integer, while there exist both even and odd parities when η is taken as positive non-integer real values. The relations among the super-universal associated-Legendre polynomials, the hypergeometric polynomials, and the Jacobi polynomials are also established.

关键词： double ring-shaped potential super-universal associated Legendre polynomials parity hypergeometric functions Jacobi polynomials

On the canonical map of surfaces with q≥6

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Science China Mathematics 2011年第8期54卷 1725-1739页

作者： MENdeS LOPES Margarida PARDINI Rita PIROLA Gian Pietro departamento de matem'atica Instituto Superior TcnicoUniversidade Tcnica de LisboaAv.Rovisco PaisLisboa 1049-001Portugal Dipartimento di matematica Università di PisaLargo B.Pontecorvo 5Pisa 56127Italy Dipartimento di matematica Università di PaviaVia Ferrata 1Pavia 27100Italy

We carry out an analysis of the canonical system of a minimal complex surface S of general type with irregularity q > *** this analysis,we are able to sharpen in the case q > 0 the well-known Castelnuovo inequality KS2≥3pg(S) + q(S)-*** we turn to the study of surfaces with pg=2q-3 and no fibration onto a curve of genus > *** prove that for q≥6 the canonical map is *** this result with the analysis of the canonical system,we also prove the inequality:KS2≥7χ(S) + *** improves an earlier result of Mendes Lopes and Pardini (2010).

关键词：地图表面复杂曲面曲线曲面普通型纤维化不等式系统

Triply heavy baryons in the constituent quark model

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Chinese Physics C 2020年第2期44卷 33-41页

作者：杨刚平加伦 Pablo GOrtega Jorge Segovia department of Physics and State Key Laboratory of Low-Dimensional Quantum Physics Tsinghua UniversityBeijing 100084China department of Physics and Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal UniversityNanjing 210023China Grupo de Física Nuclear and instituto Universitario de Física Fundamental y matemáticas(IUFFyM) Universidad de SalamancaE-37008 SalamancaSpain departamento de Sistemas Físicos Químicos y NaturalesUniversidad Pablo de OlavideE-41013 SevillaSpain

The constituent quark model is used to compute the ground and excited state masses of QQQ baryons containing either c or b *** quark model parameters previously used to describe the properties of charmonium and bottomonium states were used in this *** non-relativistic three-body bound state problem is solved by means of the Gaussian expansion method which provides sufficient accuracy and simplifies the subsequent evaluation of the matrix *** low-lying states with quantum numbers J^P=1/2^±,3/2^±,5/2^±and 7/2^+are *** compare the results with those obtained by the other theoretical *** is a general agreement for the mass of the ground state in each sector of triply heavy ***,the situation is more puzzling for the excited states,and appropriate comments about the most relevant features of our comparison are given.

关键词： Quantum Chromodynamics quark models properties of baryons exotic baryons

Logarithm of a Function, a Well-Posed Inverse Problem

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American Journal of Computational Mathematics 2014年第1期4卷 1-5页

作者： Silvia Reyes Mora Víctor A. Cruz Barriguete denisse Guzmán Aguilar instituto de Física y matemáticas Universidad Tecnológica de la Mixteca Huajuapan de León Oax México

It poses the inverse problem that consists in finding the logarithm of a function. It shows that when the function is holomorphic in a simply connected domain , the solution at the inverse problem exists and is unique if a branch of the logarithm is fixed. In addition, it’s demonstrated that when the function is continuous in a domain , where is Hausdorff space and connected by paths. The solution of the problem exists and is unique if a branch of the logarithm is fixed and is stable;for what in this case, the inverse problem turns out to be well-posed.

关键词： Logarithm Function Inverse Problem Stability

IRREGULAR WAVELET FRAMES AND GABOR FRAMES

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Analysis in Theory and Applications 2001年第3期17卷 90-100页

作者： Ole Christensen Sergio Favier Felipe Zó department of Mathematics Technical University of DenmarkBuilding 3032800LyngbyDenmark instituto de matemática Aplicada San Luis Universidad Nacional de San Luis Consejo Nacional de Investigaciones Científicasy TécnicasAvda.Ejercito de Los Andes950 5700San LuisArgentina

Given g∈L 2(R n ), we consider irregular wavelet for the form $\left\{ {\lambda ^{\frac{n}{2}} g\left( {\lambda _j x - kb} \right)} \right\}_{j\varepsilon zj\varepsilon z^n } ,where\;\lambda _j $ > 0 and b > 0. Sufficient conditions for the wavelet system to constitute a frame for L 2(R n ) are given. For a class of functions g∈L 22(R n ) we prove that certain growth conditions on {λ j } will frames, and that some other types of sequences exclude the frame property. We also give a sufficient condition for a Gabor system $\left\{ {e^{zrib\left( {j,x} \right)} g\left( {x - \lambda _k } \right)} \right\}_{j\varepsilon z^n ,k\varepsilon z} $ to be a frame.

关键词： sufficient condition Stability of Frames Wavelet Transforms Wavelet Frames Riesz Bases

Boolean Automorphisms of a Hypercube Coincide with the Linear Isometries

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Advances in Pure Mathematics 2014年第8期4卷 368-372页

作者： Eberto R. Morgado Marco V. José Facultad de matemática Física y Computación Universidad Central “Marta Abreu” de Las Villas Santa Clara Cuba Theoretical Biology Group Instituto de Investigaciones Biomédicas Universidad Nacional Autónoma de México México D.F. México

Boolean homomorphisms of a hypercube, which correspond to the morphisms in the category of finite Boolean algebras, coincide with the linear isometries of the category of finite binary metric vector spaces.

关键词： Boolean Automorphisms Boolean Algebra Hypercube Linear Isometries

Coherent States for the Two-Dimensional Dirac-Moshinsky Oscillator Coupled to an External Magnetic Field

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理论物理通讯：英文版 2015年第3期63卷 271-274页

作者： D.Ojeda-Guillen R.D.Mota V.D.Granados Escuela Superior de Física y matemáticas Instituto Politécnico NacionalEd.9Unidad Profesional Adolfo López MateosC.P.07738México D.F.Mexico Escuela Superior de Ingeniería Mecánica y Eléctrica Unidad CulhuacánInstituto Politécnico NacionalAv.Santa Ana No.1000Col.San Francisco CulhuacánDelegación CoyoacánC.P.04430Mexico D.F.Mexico

We show that the(2+l)-dimensional Dirac-Moshinsky oscillator coupled to an externa/ magnetic field can be treated algebraically with the SU(1,1) group theory and its group *** use the su(1,1) irreducible representation theory to find the energy spectrum and the ***,with the su(1,1) group basis we construct the relativistic coherent states in a closed form for this problem.

关键词：振荡器狄拉克相干态外部磁场连接二维本征函数表示理论

Rare-Earth Doped GdVO₄ by Sol-Gel Method: Structural and Luminescence Properties

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World Journal of Engineering and Technology 2022年第4期10卷 907-922页

作者： D. Y. Medina-Velázquez A. D. J. Morales-Ramírez A. A. Morales-Hernández B. Gonzalez L. Ramírez-García E. Garfías-García J. Oliva C. R. Garcia J. Reyes-Miranda M. A. Barron E. Osorio-de-la-Rosa Universidad Autónoma Metropolitana-Azcapotzalco Ciencias Básicas e Ingeniería Reynosa México instituto Politécnico Nacional CIITEC IPN Cerrada de CECATI S/N Col. México City México instituto Politécnico Nacional ESIQIE IPN México City México CONACyT-División de Materiales Avanzados Instituto Potosino de Investigación Científica y Tecnológica A. C. San Luis Potosí México Facultad de Ciencias Físico matemáticas Universidad Autónoma de Coahuila Edif. A Unidad Camporredondo Saltillo México Comonfort Col. del Bosque. C.P. 77019 Chetumal Quintana Roo México.6 CONACYT-Universidad Autónoma del Estado de Quintana Roo Boulevard Bahía s/n esq. Ignacio Chetumal México

Rare earths have been extensively developed in recent years, however, new hosts allow high excitation and emission efficiency, in this sense, gadolinium vanadate has been extensively studied and in previous works it has been widely used in down conversion systems. Because of the strong absorption of the VO4 groups and efficient energy transfer from GdVO4 to lanthanide ions, in this work its up-conversion properties were studied when is co-doped with Yb3+, X3+ where X = Tm, Er and Ho. The powders synthesized presented a high crystallinity and a rounded morphology and exhibit a high luminescence when are excited with IR radiation.

关键词： Gadolinium Rare Earths Up Convertion

Redefinition of the Terminus of the Middle America Trench

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International Journal of Geosciences 2013年第4期4卷 766-776页

作者： Román Alvarez instituto de Investigaciones en matemáticas Aplicadas y en Sistemas Universidad Nacional Autónoma de México Ciudad Universitaria México DF México

The terminus of the Middle America Trench has been traditionally represented as an arc, concave towards the continent. Tres Marías Islands are located at the terminus of the Middle America Trench in western Mexico, and their location is not only intriguing but also a key to the re-construction of the position of Baja California peninsula before separation from the North America plate. Previous re-constructions suggested various places around the location of Tres Marías Islands for the position of the tip of the peninsula, and several converge to a position that invades the area occupied by the islands, offering no explanation for the overlap. Before peninsular separation from North America, the Guadalupe trench followed a smooth curve;recreating the position of this paleo-trench yields a baseline for fixing the position of the peninsula, as well as the original position of the Tres Marías Islands fragment. A new tectonic view of the structure of the Middle America Trench terminus is proposed, replacing the traditional arc representation with a series of en echelon blocks, the northernmost terminates at the Tres Marías Escarpment. The long sides of the blocks correspond to previously identified geological faults in the Bahía de Banderas region, while their offshore continuation is supported by topographic observations. As a test of this model I show the corresponding re-construction of the position of Baja California prior to separation from the North America plate and the positional evolution of the peninsula and the Tres Marías fragment from Chron 4n.2 (7.90 Ma) to Chron 3n.4 (5.12 Ma).

关键词： Middle America Trench Tres Marías Islands Guadalupe Trench MAT Terminus Banderas Fault