排序方式: 共有32条查询结果,搜索用时 93 毫秒
1.
S. Albeverio S. N. Lakaev J. I. Abdullaev 《Functional Analysis and Its Applications》2002,36(3):212-216
A Hamiltonian describing four bosons that move on a lattice and interact by means of pair zero-range attractive potentials is considered. A stronger version of the Hunziker–Van Vinter–Zhislin theorem on the essential spectrum is established. It is proved that the set of eigenvalues lying to the left of the essential spectrum is finite for any interaction energy of two bosons and is empty if this energy is sufficiently small. 相似文献
2.
A general approach to a solution of few- and many-body scattering problems based on a continuum-discretization procedure is described in detail. The complete discretization of continuous spectrum is realized using stationary wave packets which are the normalized states constructed from exact non-normalized continuum states. Projecting the wave functions and all scattering operators like t-matrix, resolvent, etc. on such a wave-packet basis results in a formulation of quantum scattering problem entirely in terms of discrete elements and linear equations with regular matrices. It is demonstrated that there is a close relation between the above stationary wave packets and pseudostates which are employed often to approximate the scattering states with a finite L2 basis. Such a fully discrete treatment of complicated few- and many-body scattering problems leads to significant simplification of their practical solution. Also we get finite-dimensional approximations for complicated operators like effective interactions between composite particles constructed via the Feshbach-type projection formalism. As illustrations to this general approach we consider several important particular problems including multichannel scattering and scattering in the three-nucleon system within the Faddeev framework. 相似文献
3.
V. V. Pupyshev 《Theoretical and Mathematical Physics》2006,148(2):1067-1080
We obtain explicit spurious solutions of three-dimensional Faddeev equations written in the total angular momentum and total
space parity representation.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 148, No. 2, pp. 227–242, August, 2006. 相似文献
4.
V. V. Pupyshev 《Theoretical and Mathematical Physics》2008,156(1):1058-1074
We study the two-and three-dimensional Faddeev equations for a three-particle system with central or S-wave pair interactions.
The regular solutions of such equations are represented as infinite series in integer powers of the distance between two particles
and the sought functions of the other three-particle coordinates. Constructing such functions reduces to solving algebraic
recurrence relations. We derive the boundary conditions at the pair impact point for the regular solutions of the Faddeev
equations.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 156, No. 1, pp. 112–130, July, 2008. 相似文献
5.
6.
C.D. Roberts 《Progress in Particle and Nuclear Physics》2008,61(1):50-65
An overview of the theory and phenomenology of hadrons and QCD is provided from a Dyson-Schwinger equation viewpoint. Following a discussion of the definition and realization of light-quark confinement, the nonperturbative nature of the running mass in QCD and inferences from the gap equation relating to the radius of convergence for expansions of observables in the current-quark mass are described. Some exact results for pseudoscalar mesons are also highlighted, with details relating to the UA(1) problem, and calculated masses of the lightest J=0,1 states are discussed. Studies of nucleon properties are recapitulated upon and illustrated: through a comparison of the ln-weighted ratios of Pauli and Dirac form factors for the neutron and proton; and a perspective on the contribution of quark orbital angular momentum to the spin of a nucleon at rest. Comments on prospects for the future of the study of quarks in hadrons and nuclei round out the contribution. 相似文献
7.
The coupledΛΛnn-Ξ-pnn system was studied to investigate whether the inclusion of channel coupling is able to bind theΛΛnn system.We use a separable potential three-body model of the coupledΛΛnn-Ξ-pnn system and a variational four-body calculation with realistic interactions.Our results exclude the possibility of aΛΛnn bound state by a large margin.Instead,we found aΞ-t quasibound state above theΛΛnn threshold. 相似文献
8.
We study the negatively and positively charged trions in bulk materials in the effective mass approximation within the framework of a potential model. The binding energies of trions in various semiconductors are calculated by employing Faddeev equation in configuration space. Results of calculations of the binding energies for are consistent with previous computational studies and are in reasonable agreement with experimental measurements, while the is unbound for all considered cases. The mechanism of formation of the binding energy of trions is analyzed by comparing contributions of a mass-polarization term related to kinetic energy operators and a term related to the Coulomb repulsion of identical particles. 相似文献
9.
通过求解Faddeev方程, 研究了量子三体系统中的Efimov效应。 改进了变分方法对于求解激发态的不足。 在不同的两体作用下得到了三体系统中的Efimov态。 讨论了在不同质量比的三体系统中出现Efimov态的条件。 并由三体计算的结果分析了具有两个价中子的核系统在两体存在束缚态时可能存在的Efimov效应。We studied the Efimov effect in a three body system by solving the Faddeev equations. Different models and interactions were considered. The occurrence of Efimov states was discussed. The possible Efimov state was clearly presented and its properties were investigated. 相似文献
10.
Pipe Shape Solution of Faddeev Model 总被引:1,自引:0,他引:1
SHI Chang-Guang 《理论物理通讯》2008,49(2):428-430
Utilizing the results that the Faddeev model is equivalent to the mesonic sector of the SU(2) Skyrme model, where the baryon number current vanishes everywhere, some exact solutions including the vortex solutions of the Faddeev model axe discussed. The solutions are classified by the 2, the new multisoliton solutions are obtained and the pipe shape found. first Chern number. When the Chern number equals distribution of the energy density of the solutions are 相似文献