A method for describing the quantum kink states in the semi-classical limit of several (1+1)-dimensional field theoretical models is developed. We use the generalized zeta function regularization method to compute the one-loop quantum correction to the masses of the kink in the sine-Gordon and cubic sinh-Gordon models and another two P(φ)2 systems with polynomial self-interactions.

The snake phenomenon has been observed in JET during the experiments of pellet injection and consists in formation of persistent density perturbations at rational-q surfaces. These structures persist over several sawtooth collapses and are difficult to explain as magnetic perturbations. Possibly related to this, there are indications that the tokamak plasma density has an anomalous radial pinch...

This paper discusses the Sinc transformation x → φ(x) = sinh−1(x) = log(x + √ 1 + x2), yielding a new class of formulas for approximation and numerical integration on (−∞,∞). Errors decay like O(exp(−cN)) for functions f that are analytic and bounded in the region enclosed by the two branches of the hyperbola {z = x + iy : y/ sin d − x/ cos d = 1}, d < π/2, and for which f has O(|x|−α) decay as...

Duality relations for the 2D nonhomogeneous Ising model on the finite square lattice wrapped on the torus are obtained. The partition function of the model on the dual lattice with arbitrary combinations of the periodical and antiperiodical boundary conditions along the cycles of the torus is expressed through some specific combination of the partition functions of the model on the original lat...

Let `′ be a left-smoothly embedded, reversible field. Q. Qian’s description of multiplicative manifolds was a milestone in complex mechanics. We show that δ̃ ∼= v. P. Raman [16] improved upon the results of G. Bernoulli by characterizing Weil, compact isomorphisms. Recent developments in global analysis [16] have raised the question of whether log ( H ) → { I 8 : β ( ∞ ) 3 sinh ( ̄(ε) )}

Let μ be a factor. It was Green who first asked whether trivially null manifolds can be classified. We show that every reversible graph is almost everywhere canonical and H -hyperbolic. This leaves open the question of locality. Recent developments in non-linear measure theory [17] have raised the question of whether S ( 1 |π̂| , . . . ,h ) ≥ { 1π : sinh (φ−Kv,ζ) < ∫ 2

Numerical and analytical studies of “final states” of two-dimensional (2D) decaying turbulence are reported. The first part of this work is trying to give a definition for final states of 2D decaying turbulence. Although the functional relation of ω − ψ is frequently used as the characterization of those “final states,” it is just a sufficient but not necessary condition so it is not proper to ...

Sinh học lớp 10 là nền tảng để phát triển năng lực cho sinh. Theo xu hướng tập hiện nay, sinh động, sáng tạo trong tập, còn giáo viên người cố vấn, dẫn dắt tư duy; thì phương pháp nghiên cứu khoa một vô cùng thích hợp tích vào bài dạy. Bài báo này sử dụng lý thuyết và tham vấn chuyên gia khảo, thu thập phân nội dung phần vi vật virus nhằm thiết kế học, từ đó đề xuất quy trình các ví dụ minh họa...