Mathematical Essays / Topic 01

力学与量子论 Mechanics and Quantum Theory

我物理学得很差，只是心血来潮想读一点力学的东西，即使写也是很基础的内容，但我觉得还挺有意思的。 I'm really bad at physics, but I just felt like reading a bit about mechanics on a whim. Even if I write about it, it's very basic stuff, but I think it's quite interesting.

一维欧式空间上的运动 Motion in One-dimensional Euclidean Space

一些初步的例子和牛顿力学。 Some preliminary examples and Newtonian mechanics.

有限维维欧式空间上的运动 Motion in Finite-dimensional Euclidean Space

关于高维空间上的动力学，是一维情形的推广，但也有所不同。 Dynamics in higher-dimensional spaces are a generalization of the one-dimensional case, but they also have some differences.

粒子系统 Particle Systems

关于多个粒子的系统的讨论 Discussion on systems of multiple particles.

角动量与哈密顿方程 Angular Momentum and Hamilton's Equations

讨论了角动量和哈密顿方程，我知道了一点找守恒量的方法。 We discussed angular momentum and the Hamiltonian equations, and I learned a bit about methods for finding conserved quantities.

开普勒问题 Kepler Problem

经典力学的最后一节，讨论了开普勒问题，尤其是轨道问题。 The last section of classical mechanics discussed the Kepler problem, particularly the orbital problem.

位置算子与动量算子 Position Operator and Momentum Operator

量子力学中最基本的一些概念。 Some of the most fundamental concepts in quantum mechanics.

未完待续...