共查询到20条相似文献,搜索用时 31 毫秒
1.
We construct a simple analytic solution of the cubic Neveu—Schwarz (NS) string field theory including the GSO(-) sector. This
solution is analogous to the Erler—Schnabl solution in the bosonic case and to the solution in the pure GSO(+) case previously
proposed by one of us. We construct exact gauge transformations of the new solution to other known solutions for the NS string
tachyon condensation. This gauge equivalence manifestly supports the previous observation that the Erler solution for the
pure GSO(+) sector and our solution containing both the GSO(+) and the GSO(-) sectors have the same value of the action density. 相似文献
2.
A. Herrera-Aguilar J. E. Paschalis J. O. Téllez-Vázquez 《Regular and Chaotic Dynamics》2009,14(4-5):526-534
We apply a non-linear matrix transformation of Lie-Bäcklund type on a seed soliton configuration in order to obtain a new solitonic solution in the framework of the 5D low-energy effective field theory of the bosonic string. The seed solution represents a stationary axisymmetric two-soliton configuration previously constructed through the inverse scattering method and consists of a massless gravitational field coupled to a non-trivial chargeless dilaton and to an axion field endowed with charge. We apply a fully parameterized non-linear matrix transformation of Ehlers type on this massless solution and get a massive rotating axisymmetric gravitational soliton coupled to charged axion and dilaton fields. We discuss on some physical properties of both the initial and the generated solitons and fully clarify the physical effect of the non-linear normalized Ehlers transformation on the seed solution. 相似文献
3.
S. V. Talalov 《Theoretical and Mathematical Physics》1998,115(2):554-561
The bosonic string is investigated using the approach to 4D string dynamics previously proposed by the author. The physical
states and the mass spectrum are constructed. The scale invariance of the theory results in the linear dependence of the squared
mass μ2 on the “spin”
.
Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 115, No. 2, pp. 223–244 May. 1998. 相似文献
4.
Niushan Gao 《Positivity》2013,17(4):965-977
The classical Perron–Frobenius theory asserts that, for two matrices $A$ and $B$ , if $0\le B \le A$ and $r(A)=r(B)$ with $A$ being irreducible, then $A=B$ . It has been extended to infinite-dimensional Banach lattices under certain additional conditions, including that $r(A)$ is a pole of the resolvent of $A$ . In this paper, we prove that the same result holds if $B$ is irreducible and $r(B)$ is a pole of the resolvent for $B$ . We also prove some other interesting extensions of the theorem for infinite-dimensional Banach lattices. 相似文献
5.
6.
We consider compound processes that are linear with constant slope between i.i.d. jumps at time points forming a renewal process.
These processes are basic in queueing, dam and risk theory. For positive and for negative slope we derive the distribution
of the first crossing time of a prespecified level. The related problem of busy periods of single‐server queueing systems
is also studied.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
7.
8.
Abhijit S. Ranjekar 《Proceedings Mathematical Sciences》1999,109(4):385-388
In this note we discuss the inverse spectral theory for Schrödinger matrices, in particular a conjecture of Gesztesy-Simon [1] on the number of distinct iso-spectral Schrödinger matrices. We consider 3 × 3 matrices and obtain counter examples to their conjecture. 相似文献
9.
Mathematical Notes - The Sturm–Liouville problem on a finite closed interval with potential and weight of first order of singularity is studied. Estimates for the s-numbers and eigenvalues of... 相似文献
10.
Qiong Zhang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2010,63(2):1009-1015
This paper is devoted to analyzing an elastic string with local Kelvin–Voigt damping. We prove the exponential stability of
the system when the material coefficient function near the interface is smooth enough. Our method is based on the frequency
method and semigroup theory. 相似文献
11.
Qiong Zhang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2010,61(6):1009-1015
This paper is devoted to analyzing an elastic string with local Kelvin–Voigt damping. We prove the exponential stability of the system when the material coefficient function near the interface is smooth enough. Our method is based on the frequency method and semigroup theory. 相似文献
12.
TAN FuCheng 《中国科学A辑(英文版)》2008,(6)
We study the modularity problem of Calabi-Yau varieties from the conformal field theo- retic point of view.We express the modular forms associated to all 1-dimensional Calabi-Yau orbifolds in terms of products of Dedekind eta functions,which is hoped to shed light on the modularity questions for higher dimensional Calabi-Yau varieties. 相似文献
13.
14.
The purpose of this discussion is to transform the implicit equilibrium assumption endemic to network analysis into an explicit instrument for such analysis. I propose a formal model that brings together Coleman's restriction of Walras’ general equilibrium model and recent developments in describing the “social topology” of a multiple network system of actors such that a class of relational equilibria is defined. The specific equilibrium expected in a system is a function of the previously existing stratification of actors in the system. Corresponding to multiple observed networks, the model generates multiple equilibrium networks. The structural analysis of the observed networks can therefore be repeated on the equilibrium networks so as to assess the extent to which the analysis would differ if the observed relations were actually in an equilibrium state. Numerical illustration is provided by an analysis of alternative relational equilibria in the system of elite experts in methodological and mathematical sociology as such a system existed in 1975. 相似文献
15.
In our paper [KR] we began a systematic study of representations of the universal central extension
of the Lie algebra of differential operators on the circle. This study was continued in the paper [FKRW] in the framework
of vertex algebra theory. It was shown that the associated to
simple vertex algebraW
1+∞,N
with positive integral central chargeN is isomorphic to the classical vertex algebraW(gl
N), which led to a classification of modules overW
1+∞,N
. In the present paper we study the remaing nontrivial case, that of a negative central charge-N. The basic tool is the decomposition ofN pairs of free charged bosons with respect togl
N and the commuting withgl
N Lie algebra of infinite matricesĝl.
To Alexander Alexandrovich Kirillov on his 60-th birthday
Supported in part by NSF grant DMS-9103792. 相似文献
16.
Interpolation theory is the foundation of finite element methods.In this paper,after reviewing some existed interpolation theorems of anisotropic finite element methods,we present a new way to analyse the interpolation error of anisotropic elements based on Newton's formula of polynomial interpolation as well as its applications. 相似文献
17.
Let {? n (dμ)} be a system of orthonormal polynomials on the unit circle with respect to a measuredμ. Szegö's theory is concerned with the asymptotic behavior of? n (dμ) when logμ'∈L 1. In what follows we will discuss the asymptotic behavior of the ratio φn(dμ 1)/φn(dμ 2) off the unit circle in casedμ 1 anddμ 2 are close in a sense (e.g.,dμ 2=g dμ 1 whereg≥0 is such thatQ(e it )g(t) andQ(e it )/g(t) are bounded for a suitable polynomialQ) and μ 1 ′ >0 almost everywhere or (a somewhat weaker requirement) lim n→∞Φ n (dμ 1,0)=0, for the monic polynomials Φ n . The consequences for orthogonal polynomials on the real line are also discussed. 相似文献
18.
We develop an inductive approach to the representation theory of the Yokonuma–Hecke algebra Yd,n(q), based on the study of the spectrum of its Jucys–Murphy elements which are defined here. We give explicit formulas for the irreducible representations of Yd,n(q) in terms of standard d -tableaux; we then use them to obtain a semisimplicity criterion. Finally, we prove the existence of a canonical symmetrising form on Yd,n(q) and calculate the Schur elements with respect to that form. 相似文献
19.
Density functional theory is used to describe the phase behaviors of rigid molecules. The construction of the kernel function is discussed. Excluded-volume potential is calculated for two types of molecules with C 2v symmetry. Molecular symmetries lead to the symmetries of the kernel function and the density function, enabling a reduction of configuration space. By approximating the kernel function with a polynomial, the system can be fully characterized by some moments corresponding to the form of the kernel function. The symmetries of the kernel function determine the form of the polynomial, while the coefficients are determined by the temperature and molecular parameters. The analysis of the impact of coefficients helps us to choose independent variables in the moments as order parameters. Combining the analysis and some simulation results, we propose a minimal set of order parameters for bent-core molecules. 相似文献
20.
Wolfgang Rother 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1988,39(3):334-350
Summary Following a suggestion of J. Goodisman, we substitute the therm
by
in the Thomas-Fermi-von Weizsäcker energy functional for atoms.f
z3 [0,1] is a function depending on the nuclear chargez.We establish conditions for the functionsf
z
such that the ratio of this modified TFW-energyE
kz
/TFWG
(z) (kz is the total number of electrons) and the exact quantum mechanical energy converges to 1 asz. Moreover, we prove thatE
kz
/TFWG
(z)=E
kz
/TFW
(z)+Dz
2+o(z
2) (z) and determineD. Here,E
kz
/TFW
(z) is the unmodified TFW energy.
Zusammenfassung Einem Vorschlag J. Goodismans folgend, ersetzen wir in dem Thomas-Fermi-von Weizsäcker Energiefunktional für Atome den Term durch .f z3 [0,1] ist hierbei eine Funktion, die von der Kernladungszahlz abhängt.Wir geben dann Bedingungen für die Funktionenf z an, unter denen der Quotient der so modifizierten TFW-energieE kz /TFWG (z) (kz=Anzahl der Elektronen) und der exakten quantenmechanischen Energie fürz gegen 1 konvergiert. Darüber hinaus beweisen wir, daßE kz /TFWG (z)=E kz /TFW (z)+D·o(itz) 2 (z) gilt und bestimmmenD. E kz /TFW (z) ist hierbei die nicht-modifizierte TFW-Energie.相似文献