英语翻译数理方程：本课程将以波动方程,热传导方程和场位方程的初,边值问题和混合问题为例,重点介绍求解线性偏微分方程定解问

英语翻译
数理方程：本课程将以波动方程,热传导方程和场位方程的初,边值问题和混合问题为例,重点介绍求解线性偏微分方程定解问题的特征线法,分离变量法,积分变换法,Green函数法和变分方法,以及物理学中常见的特殊函数.对涉及的自伴算子的固有值问题,广义解,广义函数等理论问题将针对不同系别作适当介绍.
本课程的教学目标和要求是帮助学生了解掌握求线性偏微分方程定解问题精确解的基本思想和主要方法,培养学生运用数学工具解决物理等领域提出的数学问题的能力,为本科生学习后续专业课程及将来从事研究或实际工作打下初步基础.
本课程在引入初步的量子力学基本概念的基础上,介绍物质的微观结构和相互作用,包括原子分子物理及原子核物理.要求学生着重了解基本的物理现象、实验事实和物理概念,学会处理简单原子和简单的同核双原子分子的能级与光谱、原子核性质和结构等问题.课程主要讲授：原子模型和单电子原子、量子力学初步、原子磁矩和电子自旋、氦原子和多电子原子、分子结构和分子光谱、原子核的基本性质和结构等.

­­Mathematical equations: ­­­­This course will use wave equation, heat conduction equation and field potential equation as examples for initial value problem, boundary value problem and mixed problem. Overview methods including method to solve the linear partial differential equation of characteristic lines, the separation of variables method, the integral transform method, Green function method and variational method, as well as special functions frequently used in physics. Theory issues such as the inherent value problem of a self-adjoint operator, the generalized solution of the generalized function will be introduced according to different Department’s requirement.
The teaching goal and requirements of this course is to help students understand and grasp the basic thought and main methods to get the exact solutions of the linear partial differential equation, to cultivate students' capability to solve mathematical problems raised by physics and other fields with mathematical tools, to lay a preliminary basis for follow-up professional course for undergraduate students and the future research or practical work.
Atomic physics: This course introduces the preliminary basic concepts of quantum mechanics, on the basis of introducing the microscopic structure of the matter and interaction, including atomic molecular physics and nuclear physics. It requires students to focus on understanding the basic physical phenomena, experimental facts and the concept of physics, and to learn to deal with simple atoms and simple homonuclear diatomic molecular energy levels and spectrum, nuclear properties and nuclear structure problems. Main lectures involve atomic model and single electron atom, introductory quantum mechanics, atomic magnetic moment and electron spin, helium atoms and molecular structure of multi-electron atoms and molecule, molecular spectroscopy, the basic properties and structure of the nucleus, etc..