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Morse Potential in the Momentum Representation

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Communications in Theoretical Physics 2012年第12期58卷 815-818页

作者：孙国华董世海 Centro Universitario Valle de Chalco Universidad Autónoma del Estado de México Valle de Chalco SolidaridadEstado de México 56615 Mexico departamento de física Escuela Superior de Física y Matemáticas Instituto Politécnico Nacional Edificio 9 Unidad Profesional Adolfo López MateosMexico D.F. 07738 Mexico

The momentum representation of the Morse potential is presented analytically by hypergeometric function. The properties with respect to the momentum p and potential parameter β are studied. Note that [q2（p）l is a nodeless function and the mutual orthogonality of functions is ensured by the phase functions arg[（p）], It is interesting to see that the [~ （p）[ is symmetric with respect to the axis p = 0 and the number of wave crest of [ （p）[ is equal to n ＋ 1. We also study the variation of ]k（p）l with respect to . The arnplitude of ｜ψ（p）] first increases with the quantum number n and then deceases. finally, we notice that the discontinuity in phase occurs at some points of the momentum p and the position and momentum probability densities are symmetric with respect to their arguments.

关键词： morse potential momentum representation phase discontinuity

STABLE AND UNSTABLE STATIONARy TRAJECTORIES

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Applied Mathematics and Mechanics(English Edition) 2005年第1期26卷 52-57页

作者： J.M.Soriano departamento de Anlisis matemtico Facultad de MatemticasUniversidad de Sevilla Aptdo.1160 Sevilla 41808 Spain

The stability of stationary trajectories of a particular autonomous system is *** proof of the result is based upon continuation methods.

关键词： autonomous system continuation method trajectory critical point zero point stationary trajectory stable solution asymptotically stable

Erratum to “On a Classical Theorem on the Diameter and Minimum degree of a Graph”

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Acta Mathematica Sinica,English Series 2018年第12期34卷 1907-1910页

作者： Vernica HERNáNdeZ Domingo PESTANA José M.RODRíGUEZ departamento de matemáticas Universidad Carlos Ⅲ de Madrid

The original version of the article was published in [1]. Unfortunately, the original version of this article contains a mistake： in Theorem 6.2 appears that β（n, △） = （n-△ ＋ 5）/4 but the correct statement is... 详细信息

关键词： Extremal problems on graphs diameter minimum degree maximum degree Gromov hyperbolicity hyperbolicity constant finite graphs

Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions

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Chinese Physics C 2020年第12期44卷 103-113页

作者： J.E.García-Ramos J.M.Arias A.Vitturi departamento de Ciencias Integradas y Centro de Estudios Avanzados en física Matemática y ComputaciónUniversidad de Huelva21071 HuelvaSpain Instituto Carlos I de física Teórica y Computacional Universidad de GranadaFuentenueva s/n18071 GranadaSpain departamento de física Atómica Molecular y NuclearUniversidad de SevillaApdo.106541080 SevillaSpain Dipartimento di fisica e Astronomia“Galileo Galilei” Universitádegli Studi di PadovaPadovaItaly

The atomic mass table presents zones where the structure of the states changes rapidly as a function of the neutron or proton *** them,notable examples are the A≈100 Zr region,the Pb region around the neutron midshell(N=104),and the N≈90 rare-earth *** observed phenomena can be understood in terms of either shape coexistence or quantum phase *** objective of this study is to find an observable that can distinguish between both shape coexistence and quantum phase *** an observable to be analyzed,we selected the two-neutron transfer intensity between the 0+states in the parent and daughter *** framework used for this study is the Interacting Boson Model(IBM),including its version with configuration mixing(IBM-CM).To generate wave functions of isotope chains of interest needed for calculating transfer intensities,previous systematic studies using IBM and IBM-CM were used without changing the *** results of two-neutron transfer intensities are presented for Zr,Hg,and Pt isotopic chains using ***,for Zr,Pt,and Sm isotopic chains,the results are presented using IBM with only a single configuration,i.e.,without using configuration *** Zr,the two-neutron transfer intensities between the ground states provide a clear observable,indicating that normal and intruder configurations coexist in the low-lying spectrum and cross at A=98→*** can help clarify whether shape coexistence induces a given quantum phase *** Pt,in which shape coexistence is present and the regular and intruder configurations cross for the ground state,there is almost no impact on the value of the two-neutron transfer *** is the situation with Hg,where the ground state always has a regular *** the Sm isotope chain,which is one of the quantum phase transition paradigms,the value of the two-neutron transfer intensity is affected strongly.

关键词： two nucleon transfer reactions shape coexistence quantum phase transition interacting boson model

Characterization of Gromov Hyperbolic Short Graphs

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Acta Mathematica Sinica,English Series 2014年第2期30卷 197-212页

作者： José Manuel RODRIGUEZ departamento de matemticas Universidad Carlos III de MadridAvenida de la Universidad 30

To decide when a graph is Gromov hyperbolic is,in general,a very hard *** this paper,we solve this problem for the set of short graphs（in an informal way,a graph G is r-short if the shortcuts in the cycles of G have length less than r）：an r-short graph G is hyperbolic if and only if S9r（G）is finite,where SR（G）：=sup{L（C）：C is an R-isometric cycle in G}and we say that a cycle C is R-isometric if dC（x,y）≤dG（x,y）＋R for every x,y∈C.

关键词： Short graph Gromov hyperbolicity Gromov hyperbolic graph infinite graphs geodesics

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： Gang yang Jialun Ping 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

fountain-Gould Left Orders for Associative Pairs

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Acta Mathematica Sinica,English Series 2006年第3期22卷 641-652页

作者： José A.ANQUELA Teresa CORTS Miguel GóMEZ LOZANO Mercedes SILES MOLINA departamento de matemáticas Universidad de Oviedo departamentode lgebra Geometríay TopologíaFacultad de CienciasUniversidad de MálagaCampus de Teatinos29071 MálagaSpain

In this paper, we introduce a notion of weak fountain-Gould left order for associative pairs and give a Goldie-like theory of associative pairs which are weak fountain Gould left orders in semiprime pairs coinciding w... 详细信息

关键词： fountain-Gould left order Associtive pair Goldie theory

designing Pair of Nonlinear Components of a Block Cipher over Gaussian Integers

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Computers, Materials & Continua 2023年第6期75卷 5287-5305页

作者： Muhammad Sajjad Tariq Shah Robinson Julian Serna department of Mathematics Quaid-I-Azam UniversityIslamabad45320Pakistan Escuela de matemáticas y Estadística Universidad Pedagógica y Tecnológica de ColombiaTunja150003Columbia

In block ciphers,the nonlinear components,also known as sub-stitution boxes(S-boxes),are used with the purpose of inducing confusion in *** the last decade,most of the work on designing S-boxes over the points of elliptic curves has been *** main purpose of these studies is to hide data and improve the security levels of crypto *** this work,we design pair of nonlinear components of a block cipher over the residue class of Gaussian integers(GI).The fascinating features of this structure provide S-boxes pair at a time by fixing three *** the prime field dependent on the Elliptic curve(EC)provides one S-box at a time by fixing three parameters a,b,and *** newly designed pair of S-boxes are assessed by various tests like nonlinearity,bit independence criterion,strict avalanche criterion,linear approximation probability,and differential approximation probability.

关键词： Gaussian integers residue class of gaussian integers block cipher S-boxes analysis of S-boxes

Radicals and Kothe’s Conjecture for Skew PBW Extensions

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Communications in Mathematics and Statistics 2021年第2期9卷 119-138页

作者： Armando Reyes Hector Suarez departamento de matematicas Universidad Nacional de ColombiaSede BogotaColombia Escuela de matemáticas y Estadística Universidad Pedagogica y Tecnológica de ColombiaSede TunjaColombia

The aim of this paper is to investigate different radicals(Wedderburn radical,lower nil radical,Levitzky radical,upper nil radical,the set of all nilpotent elements,the sum of all nil left ideals)of the noncommutative rings known as skew Poincare–Birkhoff–Witt *** characterize minimal prime ideals of these rings and prove that the Kothe’s conjecture holds for these ***,we establish the transfer of several ring-theoretical properties(reduced,symmetric,reversible,2-primal)from the coefficients ring of a skew PBW extension to the extension itself.

关键词： Armendariz rings Kothe’s conjecture Skew PBW extensions