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Erratum: On the number of spiral self-avoiding walks (J. Phys. A: Math. Gen. (1984) 17 (L271-4)) 勘误:关于螺旋式自我回避行走的次数(J.物理学)。答:数学。gen (1984) 17 (L271-4)
Pub Date : 1984-01-01 DOI: 10.1088/0305-4470/17/18/530
A. Guttmann, N. Wormald
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引用次数: 1
Linearization and symmetry breaking in nonlinear SU(3) x SU(3) 非线性SU(3) x SU(3)的线性化与对称性破缺
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/008
P. Dondi
A method for constructing linear representations from nonlinearly transforming pseudoscalar mesons is developed for the group SU(3)*SU(3). The use of these functions as symmetry breaking terms is made apparent in phenomenological Lagrangians and current theories where the Schwinger term plays a particularly natural role as the symmetry breaker.
针对群SU(3)*SU(3),提出了一种由非线性变换伪标量介子构造线性表示的方法。这些函数作为对称破缺项的使用在现象学拉格朗日定理和当前的理论中是很明显的,其中施温格项作为对称破缺项起着特别自然的作用。
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引用次数: 2
Electromagnetic interactions of cosmic ray muons in iron. II. Momentum dependence of the interaction probabilities 宇宙射线介子在铁中的电磁相互作用。2相互作用概率的动量依赖性
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/011
C. Grupen, M. Hamdan, S. Hansen, M. Thompson, A. Wolfendale, E. Young
For pt.i see Ibid., vol.5, no.12, 1706. The Durham spectrograph MARS has been used to study the electromagnetic interactions of cosmic ray muons in iron in the energy range 6-200 GeV. The interaction probabilities for producing single electrons and electron bursts of various sizes from the knock-on process, direct electron pair production and bremsstrahlung are investigated as a function of muon energy. Reasonable agreement between the measured probabilities and those predicted has been found and it is concluded that significant deviations from accepted theory are not likely.
1 .参见同上,第5卷,第2号。12日,1706年。火星达勒姆光谱仪已被用于研究宇宙射线介子在铁中的电磁相互作用,其能量范围为6-200 GeV。研究了从碰撞过程、直接电子对产生和轫致辐射中产生不同大小的单电子和电子爆发的相互作用概率与介子能量的关系。在测量的概率和预测的概率之间找到了合理的一致,并得出结论,与公认的理论不太可能有重大偏差。
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引用次数: 2
Is the universe transparent or opaque 宇宙是透明的还是不透明的
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/012
P. Davies
The author determines the maximal class of conformally flat cosmological models which eventually absorb all the electromagnetic radiation they contain. This is the requirement of the Wheeler-Feynman absorber theory of radiation. The condition for complete absorption is more or less written down immediately, and the various cosmological models tested by inspection. Some of the existing errors concerning the refractive index of the intergalactic medium and the past absorber are examined in some detail. Of the Friedmann cosmologies, only the oscillating models are opaque. A number of ever-expanding nonrelativistic cosmologies such as the Dirac and the latest Hoyle-Narlikar models, are also opaque. An assessment of the present value of the Wheeler-Feynman theory is given in the light of recent work on its quantization.
作者确定了最终能吸收其中所有电磁辐射的共形平坦宇宙学模型的最大类。这是惠勒-费曼辐射吸收理论的要求。完全吸收的条件或多或少是立即写下来的,各种宇宙模型通过检查来检验。对现有的关于星系间介质折射率和过去吸收体的一些误差进行了详细的研究。在弗里德曼宇宙论中,只有振荡模型是不透明的。许多不断扩展的非相对论宇宙学,如狄拉克和最新的Hoyle-Narlikar模型,也是不透明的。根据最近对惠勒-费曼理论的量子化工作,给出了惠勒-费曼理论的现值评估。
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引用次数: 22
Electromagnetic interactions of cosmic ray muons in iron. I. Search for a charge asymmetry 宇宙射线介子在铁中的电磁相互作用。1 .寻找电荷不对称
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/010
C. Grupen, M. Hamdan, S. Hansen, M. Thompson, A. Wolfendale, E. Young
A search for a charge asymmetry in the interactions of cosmic ray muons in iron has been made using the Durham spectrograph MARS. The measurements cover the range of muon energy 6-200 GeV and refer to interaction secondaries varying in number from one to about 20. The ratio of the interaction probability for positive muons to that for negative muons is 1.08+or-0.06 for interactions having two or more secondaries. This value is less than that found in some previous experiments and does not give support to the existence of a charge asymmetry.
在宇宙射线介子在铁中的相互作用中的电荷不对称性的研究已经用火星上的达勒姆光谱仪进行了。测量覆盖了介子能量6- 200gev的范围,涉及到从1到20不等的相互作用次级粒子。对于具有两个或多个次级粒子的相互作用,正μ子与负μ子的相互作用概率之比为1.08+或0.06。这个值比以前一些实验中发现的值要小,不能支持电荷不对称的存在。
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引用次数: 5
A note on the gravitational field of a rotating radiating source 关于旋转辐射源引力场的注释
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/001
P. A. Goodinson
The author presents here a generalization of an already known solution, given by Kramer (1972).
作者在此提出了Kramer(1972)给出的已知解决方案的概括。
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引用次数: 2
Algebraic solution of the Klein-Gordon equation Klein-Gordon方程的代数解
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/004
H. Nickle, B. L. Beers
An algebraic approach to the solution of the Klein-Gordon equation is described for the case of a charged particle in the presence of plane-wave electromagnetic radiation. From an examination of the commutation relations between Pmu =-i( delta / delta xmu ) and Anu , P.A A.A, etc. one finds a new set of 'translation' operators Pi mu which commute with the total 'Hamiltonian'. The authors then construct a representation of the Poincare group out of the Pi mu and their canonically conjugate 'coordinates' Qnu . The solutions are shown to correspond to the spin zero mass m representation of the restricted Poincare group. Applications of the technique to other quantum-mechanical problems are also briefly discussed.
本文描述了在平面波电磁辐射下带电粒子的Klein-Gordon方程的代数解法。通过对Pmu =-i(δ / δ xmu)与Anu, p.a.a.a等的交换关系的研究,发现了一组新的“平移”算子Pi mu,它们与总“哈密顿量”交换。然后,作者用Pi mu和它们的典型共轭“坐标”Qnu构造了庞加莱群的表示。这些解对应于受限庞加莱群的自旋零质量m表示。本文还简要讨论了该技术在其他量子力学问题中的应用。
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引用次数: 4
Limiting ring closure probability on the square lattice 方形晶格上环闭合概率的极限
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/005
R. E. Trueman, S. Whittington
A Monte Carlo technique is described for estimating the number of tadpoles of a given size, which are weakly embeddable in a given lattice. Data are reported for the square lattice for tadpoles with up to twenty edges in the head and up to fifty edges in the tail. These data are combined with good self-avoiding walk extrapolants to yield estimates of the limiting probability (pk) of forming a head with k edges, and it is suggested that pk approximately k- alpha where alpha approximately=2.13.
描述了一种用于估计给定大小的蝌蚪数量的蒙特卡罗技术,这些蝌蚪在给定的晶格中是弱嵌入的。在方形格子中,蝌蚪的头部最多有20条边,尾部最多有50条边。这些数据与良好的自我避免行走外推相结合,得出了形成具有k条边的头部的极限概率(pk),并建议pk近似于k- alpha,其中alpha近似=2.13。
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引用次数: 7
The spin hamiltonian 自旋哈密顿量
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/003
M. Caola
The author derives a spin hamiltonian V(S) for the g fold degenerate level of a system perturbed in first order by a physical perturbation V; the derivation explicitly relates the coefficients a, b, c,... of V(S) to the matrix elements VMM' of V between the zero order physical basis functions psi M. He shows how the symmetry of V and time reversal affect V(S), and considers three often treated examples as an illustration of the power and unity of his method.
本文导出了受物理扰动V扰动的一阶系统的g折简并能级的自旋哈密顿量V(S);推导明确地将系数a, b, c,…他展示了V的对称性和时间反转如何影响V(S),并考虑了三个经常被处理的例子来说明他的方法的强大性和统一性。
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引用次数: 4
A chiral superpropagator for pions 介子的手性超传播子
Pub Date : 1972-12-01 DOI: 10.1088/0305-4470/5/12/009
P. T. Davies
The author considers the superpropagator constructed from a chiral SU(2)*SU(2) invariant Lagrangian. He shows in general how the complications arising from the derivative couplings can be separated from the nonpolynomial, nonderivative part; and explicitly calculate the pion superpropagator for the unique choice of pion field that strict localizability requires. In an Appendix he shows that an extension of the Efimov-Fradkin Green function representation will give us n multiplet to n multiplet second order functions from the superpropagator.
作者考虑了由手性SU(2)*SU(2)不变拉格朗日量构造的超传播子。他展示了导数耦合的复杂性如何从非多项式,非导数部分中分离出来;并明确计算了严格局域性所要求的介子场的唯一选择的介子超传播子。在附录中,他证明了对Efimov-Fradkin Green函数表示的扩展将从超传播子得到n个乘子到n个乘子二阶函数。
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引用次数: 2
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