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bound states of spatial optical dark solitons in nonlocal media

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Chinese Physics B 2012年第4期21卷 166-170页

作者：欧阳世根胡巍郭旗 Laboratory of Nanophotonic Functional Materials and Devices South China Normal UniversityGuangzhou 510631China

It is shown that multiple dark solitons can form bound states in a series of balance distances in nonlocal bulk media. Dark solitons can either attract or repel each other depending on their separated distance. The stability of such bound states are studied numerically. There exist unstable degenerate bound states decaying in different ways and having different lifetimes.

关键词： nonlocal nonlinear SchrSdinger equation dark soliton bound state

The relativistic bound states for a new ring-shaped harmonic oscillator

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Chinese Physics B 2008年第2期17卷 380-384页

作者：周燕郭建友 Department of Physics Anhui Radio and Television University School of Physics and Material Science Anhui University

In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied, and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials. Several particular cases such as the ring-shaped non-spherical harmonic oscillator, the ring-shaped harmonic oscillator, non-spherical harmonic oscillator, and spherical harmonic oscillator are also discussed.

关键词： new ring-shaped harmonic oscillator bound state Dirac equation

Existence and Concentration of bound states of a Class of Nonlinear Schrdinger Equations in R^2 with Potential Tending to Zero at Infinity

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Acta Mathematica Sinica,English Series 2012年第11期28卷 2243-2274页

作者： Da Cheng CUI Ji Hui ZHANG Ming Wen FEI School of Mathematics and Information Technology Nanjing Xiaozhuang University School of Mathematical Sciences Nanjing Normal University Academy of Mathematics and Systems Science China Academy of Science School of Mathematical and Computer Sciences Anhui Normal University

In this paper, we establish the existence and concentration of solutions of a class of non- linear SchrSdinger equation

关键词： bound state nonlinear SchrSdinger equation Harnack inequality concentration-compact-ness

bound stateS FOR A STATIONARY NONLINEAR SCHRDINGER-POISSON SYSTEM WITH SIGN-CHANGING POTENTIAL IN R^3

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Acta Mathematica Scientia 2009年第4期29卷 1095-1104页

作者：蒋永生周焕松 Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences P.O.Box 71010

We study the following Schrodinger-Poisson system where （Pλ）{-△u＋ V（x）u＋λФ（x）u^p=x∈R^3,-△Ф=u^2,lim│x│→∞Ф（x） =0,u〉0,where λ≥0 is a parameter,1 〈 p 〈＋∞, V（x） and Q（x）=1 ,***[19] proved that（Pλ）with p∈ （2, 5） has always a positive radial solution, but （Pλ） with p E （1, 2] has solution only if λ 〉 0 small enough and no any nontrivial solution if λ≥1/*** using sub-supersolution method,we prove that there exists λ0〉0 such that（Pλ）with p ∈（1＋∞）has alaways a bound state（H^1（R^3）solution for λ∈[0,λ0）and certain functions V（x）and Q（x）in L^∞（R^3）.Moreover,for every λ∈[0,λ0）,the solutions uλ of （Pλ）converges,along a subsequence,to a solution of （P0）in H^1 as λ→0

关键词： Schrodinger-Poisson system sub-supersolutions supercritical Sobolev expo-nent sign-changing potential bound state

bound states of the Klein-Gordon andDirac equations for potential V0 tanh^2（r／d）

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Chinese Physics B 2004年第5期13卷 571-574页

作者：强稳朝 FacultyofScience Xi'anUniversityofArchitectureandTechnologyXi'an710055China

The exact bound state wavefunctions and energy equations of Klein-Gordon and Dirac equations are given with equal scalar and vector potential s(r) = v(r) = V(r)/2 = V0 tanh2(r/d). The relation between the energy equat... 详细信息

关键词： V0 tanh2(r/d) potential Klein-Gordon equation Dirac equation bound state

bound states of the Klein-Gordon and Dirac equation for scalar and vector pseudoharmonic oscillator potentials

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Chinese Physics B 2004年第3期13卷 279-282页

作者：陈刚陈子栋楼智美陈刚陈子栋楼智美 DepartmentofPhysics ShaoxingCollegeofArtsandSciencesShaoxing312000China

The exact bound state solutions of the Klein-Gordon equation and Dirac equation with scalar and vector pseudoharmonic oscillator potentials are obtained in this paper. Furthermore, we have used the supersymmetric quan... 详细信息

关键词： pseudoharmonic oscillator potential Klein-Gordon equation Dirac equation bound state supersymmetric quantum mechanics shape invariance

bound states of the Klein-Gordon and Dirac equations for scalar and vector harmonic oscillator potentials

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Chinese Physics B 2002年第8期11卷 757-758页

作者： Qiang Wen-Chao(强稳朝) Faculty of Science Xi'an University of Architecture and Technology Xi'an 710055 China

We give the exact bound states of the Klein-Gordon and Dirac equations with equal scalar and vector harmonicoscillator potentials.

关键词： harmonic oscillator Klein-Gordon equation Dirac equation bound state

bound states of Klein-Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials

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Chinese Physics B 2005年第1期14卷 42-44页

作者：张学骜陈柯段正路 CollegeofAerospaceandMaterialsEngineering NationalUniversityofDefenceTechnologyChangsha410073China DepartmentofPhysics TsinghuaUniversityBeijing100084China

Solving the Klein-Gordon equation and Dirac equation with ring-shaped non-spherical oscillator gives the exact bound state wavefunction and energy equation, and the relations between non-relativistic Schrodinger equat... 详细信息

关键词： ring-shaped non-spherical oscillator Klein-Gordon equation Dirac equation bound state

Analytical Approximate Solution of Schr?dinger Equation in D Dimensions with Quadratic Exponential-Type Potential for Arbitrary l-state

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Communications in Theoretical Physics 2014年第4期61卷 457-463页

作者： Akpan N.Ikot Oladunjoye.A.Awoga Hassan Hassanabadi Elham Maghsoodi Theoretical Physics Group Department of PhysicsUniversity of Uyo Department of Basic Sciences Shahrood BranchIslamic Azad University

We present the bound state solution of Schr6dinger equation in D dimensions for quadratic exponential-type potential for arbitrary l-state. We use generalized parametric Nikiforov-Uvarov method to obtain the energy le... 详细信息

关键词： SchrSdinger equation Nikiforov-Uvarov method bound state