Showing papers in "Communications in Theoretical Physics in 2000"
TL;DR: Using the extended homogeneous balance method, which is very concise and primary, the authors finds the multiple soliton solutions of the high-order Broer-Kaup equations.
Abstract: Using the extended homogeneous balance method, which is very concise and primary, we find the multiple soliton solutions of the high order Broer–Kaup equations. The method can be generalized to dealing with high-dimensional Broer–Kaup equations and other class of nonlinear equations.
40 citations
TL;DR: In this paper, a fractal record model of DNA sequence is proposed by mapping DNA sequences to integer sequences, followed by the R/S analysis of the model and computation of the Hurst exponents.
Abstract: We treat some fractal and statistical features of the DNA sequences First, a fractal record model of DNA sequence is proposed by mapping DNA sequences to integer sequences, followed by the R/S analysis of the model and computation of the Hurst exponents Second, we consider the transition between the four kinds of bases within DNA The transition matrix analysis of DNA sequences shows that some measures of complexity based on transition proportion matrices are of interest The main results are: I) H-exon > H-intron for virus But H-intron > H-exon for the species which have the shape of cell except for drosophila 2) For virus, E coli, yeast, drosophila, mouse and human, measure H of transition proportion matrix of exon is larger than that of intron, and measures lambda, D, C, (D) over tilde and (C) over tilde of transition proportion matrix of intron are larger than those of exon 3) Regarding the evolution, we find that when the species go higher in grade, the measures D, C, (D) over tilde and (C) over tilde of exon become larger, the measure H of exon becomes less except for yeast Hence for species of higher grade, the transition rate among the four kinds of bases deviates further from the equilibrium
34 citations
TL;DR: In this paper, the relativistic charged ball with its charge less than its mass (in natural units) cannot have a nonsingular static configuration while its radius approaches its external horizon size.
Abstract: It is proven that the relativistic charged ball with its charge less than its mass (in natural units) cannot have a nonsingular static configuration while its radius approaches its external horizon size. This conclusion does not depend on the details of charge distribution and the equation of state. The involved assumptions are (i) the ball is made of perfect fluid;(ii) the energy density is everywhere non-negative.
29 citations
TL;DR: In this paper, a noncommutative differential calculus on function space of discrete Abelian groups is proposed, which is applied to discrete symplectic geometry and Hamiltonian systems with as well as the lattice gauge theory on regular lattice.
Abstract: A new noncommutative differential calculus on function space of discrete Abelian groups is proposed. The derivatives are introduced with respect to the generators of the groups only. It is applied to discrete symplectic geometry and Hamiltonian systems with as well as the lattice gauge theory on regular lattice.
18 citations
TL;DR: In this article, an exactly solvable model of disordered systems with infinite-ranged interaction is solved and it is shown that almost every eigenvector is localized in the model.
Abstract: An exactly solvable model of disordered system with infinite-ranged interaction is solved. We find that almost every eigenvector is localized.
16 citations
TL;DR: In this paper, a new type of localization, power-law localization, is proposed for non-analytic quantum systems and the dependence of the localization length on perturbation is given in different parameter regimes.
Abstract: Numerical investigations on non-analytic quantum kicked systems are presented. A new type of localization — power-law localization is found to be universal in the non-analytic systems. With increasing the perturbation strength, a transition from perturbative localization to pseudo-integrable system, to dynamical localization and to complete extension is clearly demonstrated. The dependence of the localization length on perturbation is given in different parameter regimes.
14 citations
TL;DR: In this article, the hadronic and two-photon decay width ratios for the three scalar states were investigated based on a 3 x 3 mass matrix describing the mixing of the scalars.
Abstract: Based on a 3 x 3 mass matrix describing the mixing of the scalar states f(o)(1370), f(o)(1500) and f(o)(1710), the hadronic decays of the three states are investigated. Taking into account the two possible assumptions concerning the mass level order of the bare states \N] = \ + ]/root2, \S] = \) and \G] = \gg] in the scalar sector, M-G > M-S > M-N and M-G > M-N > M-S, the gIueball-quarkonia content of the three states is obtained by solving the nonlinear equations. Some predictions about the hadronic and two-photon decays of the three states in two cases are presented. It is pointed out that the predictions about the two-photon decay width ratios for the three states can provide a stringent consistency check of the two assumptions.
14 citations
TL;DR: In this article, a unitary operator which can engender a squeezing and rotating entangled transformation was introduced, which has a concise expression in a new representation in two-mode Fock space.
Abstract: We introduce a new unitary operator which can engender a squeezing and rotating entangled transformation. The operator has a concise expression in a new representation in two-mode Fock space. The normally ordered form of can be derived by using the technique of integration within an ordered product of operators. The fluctuation in quadrature phases for these squeezing-rotating entangled states are analyzed.
14 citations
TL;DR: In this paper, the authors used the truncated Painleve analysis to obtain exact explicit solitary wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvilli equations.
Abstract: Using the standard truncated Painleve analysis, we have obtained some special types of exact explicit solitary wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvilli equations. Usually, one obtains the single solitary wave solution from the Backlund transformation related to the truncated Painleve analysis starting from the trivial vacuum solution. In this letter, we find some special types of the multi-solitary wave solution from the truncated Painleve analysis and the trivial vacuum solution.
13 citations
TL;DR: Hongyi and Klauder as discussed by the authors proposed the notion of entangled state representation with continuum variables and recast it into the standard form as the state prepared in a parametric down conversion process which involves the entanglement of idle and signal photons.
Abstract: we propose the conception of entangled state representation with continuum variables. We analyze the non-factorizable properties of the state, the common eigenvector of two-particle relative position and total moment um (Fan Hongyi and J.R. Klauder, Phys. Rev. A49 (1994) 704), and recast it into the standard form as the state prepared in a parametric down conversion process which involves the entanglement of idle and signal photons. We name the set of as entangled state representation, as it is orthonormal and complete
13 citations
TL;DR: In this article, the authors derived the evolution feature of soliton parameters and derived the differential equation describing the evolution of interval between solitons along with propagation distance for attractive potential, the distance of oscillation increases dong with the loss increases.
Abstract: From coupled nonlinear Schrodinger equation which describes the birefringence near zero-dispersion wavelength, we derive the evolution feature of soliton parameters and get the differential equation describing the evolution of interval between solitons along with propagation distance. At the same time, we have made detailed numerical research on the propagation in dissipation system of standard fundamental soliton. The result shows that for attractive potential, the distance of oscillation increases dong with the loss increases. For repulsive potential, the distance of oscillation diverges faster along with the loss increases. If selecting the proper-optical fiber of high-order dispersion, the interaction between solitons in birefringence fiber can be eliminated.
TL;DR: In this article, a B?cklund transformation of the (2+1)-dimensional dispersive long wave equations is derived by using the developed homogeneous balance method, and the new multisoliton-like solution and other two types of exact solutions to these equations are constructed.
Abstract: A B?cklund transformation of the (2+1)-dimensional dispersive long wave equations is derived by using the developed homogeneous balance method. by means of the B?cklund transformation, the new multisoliton-like solution and other two types of exact solutions to these equations are constructed.
TL;DR: By virtue of the technique of integration within an ordered product of operators, this article constructed the normally ordered operator fiedholm equation, and used it to derive some new operator formulas.
Abstract: By virtue of the technique of integration within an ordered product of operators we construct the normally ordered operator fiedholm equation. We use it to derive some new operator formulas. For Weyl correspondence, operator fiedholm equation can also be constructed. Some applications of the operator Fkedholm equation are given.
TL;DR: By using a recursion relation from the -discrete nonlinear Schrodinger equation with a "lossy" term, this paper proved that the solitons propagate along the fiber in the decay rate if the "initial" input phase (at ) is taken as the form.
Abstract: By using a recursion relation from the -discrete nonlinear Schrodinger equation with a "lossy" term, we prove that the solitons propagate along the fiber in the decay rate if the "initial" input phase (at ) is taken as the form . The same conclusions can also be obtained from the exact numerical calculations.
TL;DR: Based on a modification of the global color symmetry model, Wang et al. as discussed by the authors calculated the four-quark condensate beyond vacuum saturation approximation by including the contribution of pi and sigma masons.
Abstract: Based on a modification of the global color symmetry model, we have calculated the four-quark condensate [: (q) over bar gamma mu lambdaC degrees /2 q(q) over bar gamma mu lambdaC degrees /2 q :] beyond vacuum saturation approximation by including the contribution of pi and sigma masons. The numerical results show that there is a sizeable correction of the four-quark condensate in comparison with its factorized value using the vacuum saturation approximation.
TL;DR: The recent BES Collaboration data on, particularly the isospin violating mode and finding of a finite number for, enable us now to deal more precisely about the challenges to theory concerning this extraordinary and remarkable so-called puzzle of and decays as mentioned in this paper.
Abstract: The recent BES Collaboration data on , particularly the isospin violating mode and finding of a finite number for , enable us now to deal more precisely about the challenges to theory concerning this extraordinary and remarkable so-called puzzle of and decays. In terms of the existing data and deploying the simplest phenomenology, measurement of and whether a finite number for the mode might require a significantly large accumulation of data remain interesting questions.
TL;DR: In this paper, the recurrence relations are presented for the calculation of basic overlap integrals, by making use of which other overlap integral are calculated analytically, and are especially useful for any overlap integral for large quantum numbers.
Abstract: The recurrence relations are presented for the calculation of basic overlap integrals, by making use of which other overlap integrals are calculated analytically. These recurrence relations are especially useful for the calculation of any overlap integral for large quantum numbers. For the arbitrary values of screening constants of atomic orbitals and internuclear distances an accuracy of the computer results is satisfactory for the values of principal quantum numbers of Slater functions up to 50.
TL;DR: In this paper, the effective chiral Lagrangian for a matter field content consisting of pseudo-scalar Goldstone bosons and vector bosons with hidden symmetry is derived from the underlying QCD theory.
Abstract: The effective chiral Lagrangian for a matter field content consisting of pseudo-scalar Goldstone bosons and vector bosons (with hidden symmetry) is derived from the underlying QCD theory. No approximations are made. All the free parameters of the effective chiral Lagrangian are expressed in terms of QCD-based Green's functions. These may be regarded as the QCD definitions of these Lagrangian coefficients.
TL;DR: In this article, the authors apply the hard thermal loop resummation technique to calculate effective two-loop thermodynamic potential in quark-gluon plasma and its renormalization.
Abstract: Within the real-time formalism of thermal field theory, we apply the hard thermal loop resummation technique to calculate effective two-loop thermodynamic potential in quark-gluon plasma and its renormalization. The result with collective effects is obtained, which is valid for an arbitrary number of quark flavors with masses.
TL;DR: In this paper, the effective chiral Lagrangian derived from underlying QCD for pseudo-scalar Goldstone bosons has been generalized to involve the whole nonet pseudo-Goldstone Bosons, no approximation is made in the derivation.
Abstract: The effective chiral Lagrangian derived from underlying QCD for pseudo-scalar Goldstone bosons has been generalized to involve the whole nonet pseudo-Goldstone bosons, no approximation is made in the derivation. The formulation offers general QCD definitions for the coefficients in effective chiral Lagrangian.
TL;DR: The pseudoperturbative shifted-l expansion technique was introduced to determine nodeless states of the 2D Schrodinger equation with arbitrary cylindrically symmetric potentials.
Abstract: The pseudoperturbative shifted-l expansion technique is introduced to determine nodeless states of the 2D Schrodinger equation with arbitrary cylindrically symmetric potentials. Exact energy eigenvalues and eigenfunctions for the 2D Coulomb and harmonic oscillator potentials are reproduced. Moreover, exact energy eigenvalues, compared with those obtained by numerical solution (V.M. Villalba and R. Pino, J. Phys.: Condens. Matter 8 (1996) 80671, were obtained for the hybrid of the 20 Coulomli and oscillator potentials.
TL;DR: In this paper, a uniform semiclassical theory for the spatial distribution of the photodetached electron of H- in the presence of a static electric field is described, where a uniform approximation to the electron flux distribution is calculated.
Abstract: We describe a uniform semiclassical theory for the spatial distribution of the photodetached electron of H- in the presence of a static electric field. In this theory we propagate the photodetached electron wavefunction using a mixed position and momentum coordinate method to large distance where a uniform approximation to the electron flux distribution is calculated. Details are given for the propagation of the mixed coordinate wavefunction with cylindric symmetry and the transformation between configuration space wavefunction and the mixed position and momentum wavefunction.
TL;DR: In this article, the authors presented a scheme to prepare a quantum state in an ion trap with probability approaching to one by means of ion trap quantum computing and Grover's quantum search algorithm acting on trapped ions.
Abstract: We present a scheme to-prepare a quantum state in an ion trap with probability approaching to one by means of ion trap quantum computing and Grover's quantum search algorithm acting on trapped ions.
TL;DR: Using a recently developed Hamiltonian Monte Carlo method, the authors compute the low-lying energy spectrum and wavefunctions as well as thermodynamical observables in (2+1)-dimensional quantum mechanics, and give an estimate of the statistical errors.
Abstract: Using a recently developed Hamiltonian Monte Carlo method, we compute the lowlying energy spectrum and wavefunctions as well as thermodynamical observables in (2+1)-dimensional quantum mechanics, and give an estimate of the statistical errors. Our numerical results are in good agreement with the exact ones.
TL;DR: In this article, the first-order effects of perturbation on a soliton, namely, both the slow time-dependence of the soliton parameters and firstorder corrections are derived in a direct approach based on the separation of variables.
Abstract: The soliton perturbations of the modified Korteweg de Vries equation corresponding to different signs of the nonlinear term are studied. The first-order effects of perturbation on a soliton, namely, both the slow time-dependence of the soliton parameters and first-order corrections are derived in a direct approach based on the separation of variables.
TL;DR: In this paper, the authors calculate the contributions of topcolor-assisted technicolor models to rare decays and from one-loop -penguin diagrams in the framework of top-color assisted technicolors, and find that the contribution from technipions is less than 2% of the standard model prediction.
Abstract: We calculate the contributions to the rare decays and from one-loop -penguin diagrams in the framework of topcolor-assisted technicolor model. Within the parameter space, we find that: (a) the new contribution from technipions is less than 2% of the standard model prediction; (b) the top-pions can provide a factor of 10 to 30 enhancement to the ratios in question; (c) the topcolor-assisted technicolor model is consistent with the current experimental data.
TL;DR: In this paper, the authors demonstrate that if the universe is dominated by the massive cold dark matter, then besides the generally believed thermal distribution of the dark matter relies, there may exist some very energetic non-thermal relies of dark matter particles in the universe from some unknown sources, such as from decay of supermassive X particle released from topological defect collapse or annihilation.
Abstract: We demonstrate that if the universe is dominated by the massive cold dark matter, then besides the generally believed thermal distribution of the dark matter relies, there may exist some very energetic nonthermal relies of the dark matter particles in the universe from some unknown sources, such as from decay of supermassive X particle released from topological defect collapse or annihilation. Very interesting, we point out that these high energy dark matter particles may be observable in the current and future cosmic ray experiments.
TL;DR: In this paper, it was shown that the restricted KdV flow is the interpolating Hamiltonian flow of invariant for the restricted Toda flow, which is an integrable symplectic map of Neumann type, sharing the common Lax matrix, dynamical r-matrix and system of conserved integrals.
Abstract: It is proven that on a symplectic submanifold the restricted c-KdV flow is just the interpolating Hamiltonian flow of invariant for the restricted Toda flow, which is an integrable symplectic map of Neumann type. They share the common Lax matrix, dynamical r-matrix and system of involutive conserved integrals. Furthermore, the procedure of separation of variables is considered for the restricted c-KdV flow of Neumann type.
TL;DR: In this paper, Backlund transformations and heat equation are used to find several families of explicit and exact solutions for the well-known Whitham-Broer-Kaup equations in shallow water and Kupershmidt equations.
Abstract: Backlund transformations and heat equation are used to find several families of explicit and exact solutions for the well-known Whitham-Broer-Kaup equations in shallow water and Kupershmidt equations. In result, multi-soliton solutions, rational fraction solutions and soliton-like solutions are obtained.
TL;DR: In this article, the explicit expression for indecomposable representation of the nonlinear angular momentum algebra of quadratic type,, on the space of its universal enveloping algebra is given.
Abstract: The explicit expression for indecomposable representation of the nonlinear angular momentum algebra of quadratic type, , on the space of its universal enveloping algebra is given. Then, from this indecomposable representation, other indecomposable (irreducible) representations are derived which are induced on quotient spaces or subduced on invariant subspaces. The inhomogeneous boson and differential realizations of are obtained from the Fock representations corresponding to the indecomposable representations.