Direct Evaluation of Transition Amplitude Using Determinant of Wave Operator in One-Dimensional Potential Scattering System

A determinantal formula is developed for direct evaluation of transition amplitude without solving the wave equation in a one-dimensional potential scattering system. Our formulation is 5ased on the principle that a desired quantity can be extracted from the wave operator, which is the master operator maintaining all the information of the system. This principle is tested in a simplified system, i.e,, in a one-dimensional potential scattering system. We are now developing a formula for direct evaluation of near-field amplitude to design a system, in which local field enhancement is desired.     

Scattering and Bound States of the Dirac Particle for q-Parameter Hyperbolic Pöschl-Teller Potential

The one-dimensional Dirac particle for equal scalar and vector asymmetric q-parameter hyperbolic PöschlTeller potential (qHPT) is solved in terms of hypergeometric functions. The scattering and bound states are obtained by using the properties of the equation of continuity of the wave functions. We calculat in details the transmission and reflection coefficients.     

Scattering and Transmission Resonances in One-Dimensional Hulthén Potential Barrier

The two component approach to the one-dimensional Dirac equation is applied to the Hulthén potential barrier. The scattering state solutions are obtained in terms of hypergeometric functions and the condition for a transmission resonance when the transmission coefficient is unity is derived.     

Relativistic Scattering States of Coulomb Potential Plus a New Ring-Shaped Potential

In this paper, exact solutions of scattering states of the Klein-Gordon equation with Coulomb potential plus a new ring-shaped potential are studied under the condition that the scalar potential is equal to the vector potential. The normalized wave functions of scattering states on the “k/2π scale” and the calculation formula of phase shifts are presented. Analytical properties of the scattering amplitude are discussed.     

Scattering Coefficients for a Trapezoidal Potential

The trapezoidal potential is the result of the superposition of a rectangular barrier and a linear potential. It has interest in the field of solid-state physics as long as heterostructures are concerned. The determination and discussion of the scattering coefficients for this potential revealed unknown properties of the Airy functions.     

Stationary Scattering Theory for a Charged Particles Transport Problem

We consider a nonautonomous transport problem, the modelization of the charge exchange dynamics in a monoatomic ionized gas, and apply scattering theory to its dynamics. The free dynamics corresponds to the evolution of the total distribution of particles (neutral plus ionized particles) and the perturbed dynamics corresponds to the evolution of the neutral particles, which is the solution of a nonautonomous transport problem. The existence of the time-dependent wave operators was proved by the first author. In the present paper we follow Howland's formalism in constructing a stationary scattering theory for this nonautonomous transport problem by studying the evolution equation. We prove the existence of the wave operators and by using the smooth perturbation technique we obtain the similarity between perturbed and unperturbed operators.     

Oscillatory Behavior of In-medium Interparticle Potential in Hot Gauge System with Scalar Bound States

We investigate the in-medium interparticle potential of hot gauge system with bound states by employing the QED and scalar QED coupling. At the finite temperature an oscillatory behavior of the potential has been found as well as its variation in terms of different free parameters. We expect the competition among the parameters will lead to an appropriate interparticle potential, which could be extended to discuss the fluid properties of QGP with scalar bound states.     

关于最弱受约束电子势模型理论中势函数物理意义的讨论

从屏蔽、贯穿和极化作用考虑,对最弱受约束电子势模型理论（简称WBEPM理论）的势函数进行了讨论。通过一系推导、论证,得出WBEPM理论的有效势的物理意义为：势函数中的第一项表示最弱受约束电子在有效核电荷＋Z′e中心场中的势能;第二项代表最弱受约束电子对非最弱受约束电子和核组成的“实”的极化作用所引起的偶极子场中的势能。     

具有线性型标量势和矢量势的Klein-Gordon的束缚态

给出了当线性型标量势大于或等于其矢量势时的Klein-Gordon方程的s波束缚态解，其解可 用合流超几何函数表示. 关键词： 线性势 Klein-Gordon方程 束缚态     

Derivation of a Closed Expression of the B-S Interaction Kernel for Quark-Antiquark Bound States

The interaction kernel in the Bethe-Salpeter (B-S) equation for quark-antiquark bound states is derivedfrom B-S equations satisfied by the quark-antiquark four-point Green‘s function. The latter equations are establishedbased on the equations of motion obeyed by the quark and antiquark propagators, the four-point Green‘s function andsome other kinds of Green‘s functions, which follow directly from the QCD generating functional. The derived B-Skernel is given by a closed and explicit expression which contains only a few types of Green‘s functions. This expressionis not only convenient for perturbative calculations, but also applicable for nonperturbative investigations. Since thekernel contains all the interactions taking place in the quark-antiquark bound states, it actually appears to be the mostsuitable starting point of studying the QCD nonperturbative effect and quark confinement.     

共振散射比率法对SDBS与奎宁相互作用的研究

基于表面活性剂SDBS与奎宁的结合反应发展了一种测定奎宁的双波长共振散射比率法。在BR缓冲介质中,SDBS与奎宁发生反应,并于280.0nm和375.0nm两处特征波长处导致共振光散射信号大大增强。通过分别测定I280.0、I375.0和I240.0/I245.0来检测奎宁。当SDBS的浓度为4.0×10-5 mol/L时,以I280.0和I375.0为测定点的单波长共振光散射方法所得到的线性范围和检出限分别为0.16~30!mol/L、16.3nmol/L和0.15~30!mol/L、14.9nmol/L。而用I240.0/I245.0的散射强度之比来测定奎宁时,其线性范围和检出限分别为0.011~70!mol/L和1.12nmol/L。表明双波长共振散射比率法明显优于前者。     

Derivation of a Closed Expression of the B-S Interaction Kernel for Quark-Antiquark Bound States

The interaction kernel in the Bethe-Salpeter (B-S) equation for quark-antiquark bound states is derived from B-S equations satisfied by the quark-antiquark four-point Green's function. The latter equations are established based on the equations of motion obeyed by the quark and antiquark propagators, the four-point Green's function and some other kinds of Green's functions, which follow directly from the QCD generating functional. The derived B-S kernel is given by a closed and explicit expression which contains only a few types of Green's functions. This expression is not only convenient for perturbative calculations, but also applicable for nonperturbative investigations. Since the kernel contains all the interactions taking place in the quark-antiquark bound states, it actually appears to be the most suitable starting point of studying the QCD nonperturbative effect and quark confinement.     

Fano‐Majorana Effect and Bound States in the Continuum on a Crossbar‐Shaped Quantum Dot Hybrid Structure

Transport properties are investigated through a crossbar‐shaped structure formed by a quantum dot (QD) coupled to two normal leads and embedded between two 1D topological superconductors (TSCs). Each TSC hosts Majorana‐bound states (MBSs) at its ends, which can interact between them with an effective coupling strength. A signature of bound states in continuum (BIC) is found in the MBSs spectral function. By allowing finite inter MBSs coupling, BICs splitting is observed and shows projection in transmission for asymmetric coupling case as quasi‐BICs. As a consequence, it is also shown that the Fano effect, arising from interference phenomena between MBSs hybridization trough QD, is observed with a half‐integer amplitude modulation. It is believed that the findings can help to better understand the properties of MBSs and their interplay with QDs.     

New Closed Expression of Interaction Kernel in Bethe-Salpeter Equation for Quark-Antiquark Bound States

The interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states is derived newly from QCD in the case where the quark and the antiquark are of different flavors. The technique of the derivation is the usage of the irreducible decomposition of the Green‘s functions involved in the Bethe-Salpeter equation satisfied by the quark-antiquark four-point Green‘s function. The interaction kernel derived is given a closed and explicit expression which shows a specific structure of the kernel since the kernel is represented in terms of the quark, antiquark and gluon propagators and some kinds of quark, antiquark and/or gluon three, four, five and six-point vertices. Therefore,the expression of the kernel is not only convenient for perturbative calculations, but also suitable for nonperturbative investigations.     

New Closed Expression of Interaction Kernel in Bethe-Salpeter Equation for Quark-Antiquark Bound States

The interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states is derived newly from QCD in the case where the quark and the antiquark are of different flavors. The technique of the derivation is the usage of the irreducible decomposition of the Green＇s functions involved in the Bethe-Salpeter equation satisfied by the quark-antiquark four-point Green＇s function. The interaction kernel derived is given a closed and explicit expression which shows a specific structure of the kernel since the kernel is represented in terms of the quark, antiquark and gluon propagators and some kinds of quark, antiquark and/or gluon three, four, five and six-point vertices. Therefore, the expression of the kernel is not only convenient for perturbative calculations, but also suitable for nonperturbative investigations.     

广义基的多重散射理论

提出了任意函数基表象中的多重散射理论. 基于这个框架, 一组新基的多重散射计算表明其收敛性比传统的球谐函数基的要好, 从而可以实现更快和更节省物理内存的计算. 另外, 将多重散射矩阵分为传播矩阵和散射矩阵, 很好地描述了散射性质和减小了多重散射计算中块矩阵的尺寸.     

Standing Wave Effects in Nuclear Resonance Bragg Reflectivity: Comparison of the Energy and Time Scales and First Experimental Results

The applicability of the concept of standing wave for the nuclear resonance Bragg reflectivity of synchrotron radiation has been tested for a microcrystalline (Fe/Cr)₂₆ multilayer. In the time domain the depth selectivity is strongly enhanced. A “scan” of hyperfine field distribution over bilayer depth was performed by a variation of the angle near the Bragg peak. In particular we observed that Fe/Cr and Cr/Fe interfaces are quite different and that the magnetic field orientation is different in the interfaces and in the central part of Fe layers. This revised version was published online in September 2006 with corrections to the Cover Date.     

统计自洽场INFERNO模型中电子共振态

对Liberman的统计自洽场INFERNO模型中的电子共振态进行研究,计算金属铀在两个温度密度点处的电子共振态,给出共振能量区间内电子的态密度,波函数,相移因子随能量的变化及位相-振幅形式的波函数中的位相随能量的变化,得到与非相对论情况下完全一致的结果.     

量子点中弱耦合束缚极化子的内部激发态性质

采用线性组合算符和幺正变换方法研究库仑束缚势对量子点中弱耦合束缚极化子激发态性质的影响。计算了束缚极化子的振动频率、第一内部激发态能量、激发能量和共振频率随量子点的有效受限长度,电子-声子耦合强度和库仑束缚势的变化关系。结果表明:量子点中弱耦合束缚极化子的振动频率、第一内部激发态能量、激发能量和共振频率随量子点的有效受限长度的减少而迅速增大,随库仑束缚势的增加而增大。