Theoretical and Mathematical Physics

该项目研究涉及统计力学和凝聚态的精确可解模型。 物理学中的许多重要现象都可以用低维模型来描述。 强关联电子就是一个重要的例子。 该项目的研究涉及哈伯德模型，量子自旋链，Sine-Gordon和玻色气体与δ相互作用（非线性薛定谔方程）在一个空间和一个时间维。 量子涨落在一维中很强，所以没有精确解就很难理解物理学。 该项目的主要目标是计算模型的形状因子和相关函数。 特别令人感兴趣的是时间和温度依赖的相关函数和非相对论模型的形状因子。

The project study involves exactly solvable models of statistical mechanics and condensed matter. Many important phenomena in physics can be described by low dimensional models. Strongly correlated electrons provide an important example. The project study involves the Hubbard model, quantum spin chains, Sine-Gordon and Bose gas with delta interaction (Nonlinear Schroedinger equation) in one space and one time dimensions. Quantum fluctuations are strong in one dimension, so it is difficult to understand physics without exact solutions. The main objective of the project is to calculate form factors and correlation functions of the models. Especially interesting are time and temperature dependent correlation functions and form factors of non- relativistic models.