I briefly review the properties of classical affine Toda field theories and indicate how some of this features survive in the quantum theory on-shell. I demonstrate how this knowledge can be extended off-shell, i.e. how to compute correlation functions for completely integrable models via the form factor approach. For the latter I present an axiomatic system and two explicit computation (the Si...

Nghiên cứu được tiến hành trên mô hình bể thâm canh tảo Spirulina sp. với mục đích xác định khả năng sử dụng nước thải sinh hoạt để sản xuất khối tảo, đồng thời đánh giá hiệu quả xử lý hoạt. Các thí nghiệm ở quy phòng hai có bổ sung HCO3- và không HCO3-. Kết cho thấy gian lưu 1,5 ngày, tải nạp 2.000 m3.ha-1.ngày-1 chất hữu cơ 343 kg.ha-1.ngày-1; cao hơn (258 178 kg.ha-1.ngày-1) khác biệt ý nghĩ...

In this paper we compute the scaling functions of the eeective central charges for various quantum integrable models in a deep ultraviolet region R ! 0 using two independent methods. One is based on the \reeection amplitudes" of the (super-)Liouville eld theory where the scaling functions are given by the conjugate momentum to the zero-modes. The conjugate momentum is quantized for the sinh-Gor...

We find that the fundamental quadratic form of classical string propagation in 2 + 1 dimensional constant curvature spacetimes solves the Sinh-Gordon equation, the Cosh-Gordon equation or the Liouville equation. We show that in both de Sitter and anti de Sitter spacetimes (as well as in the 2 + 1 black hole anti de Sitter spacetime), all three equations must be included to cover the generic str...

The states of asymptotic relaxation of 2-dimensional fluids and plasma present a high degree of regularity and obey to the sinh-Poisson equation. We find that embedding the classical fluid description into a field-theoretical framework, the same equation appears as a manifestation of the self-duality. The states generated by externally driving (stirring) an ideal fluid can have very irregular f...

Recently, we found that the CB-splines that use basis {sin t, cos t, t,1} and the HB-splines that use basis {sinh t, cosh t, t,1} could be unified into a complete curve family, named FB-splines (Zhang and Krause, 2005). FB-splines are a scheme of what we call here F-curves. This paper explains that in the domain of complex numbers, the extended C-curves and extended H-curves are the same curves...

The process of heat conduction in one-dimensional lattice with on-site potential is studied by means of numerical simulation. Using discrete Frenkel-Kontorova, φ–4 and sinh-Gordon we demonstrate that contrary to previously expressed opinions the sole anharmonicity of the on-site potential is insufficient to ensure the normal heat conductivity in these systems. The character of the heat conducti...