Tracing the origins of Schrödinger equation

This blog aims to trace historical and scientific origins of Schrödinger equation, focusing on its development from hydrogen atom model. Initially, attempts were made to derive a relativistic equation for the hydrogen atom, but eventually, a nonrelativistic approach was adopted instead. By combining principles from Hamiltonian mechanics, Erwin Schrödinger successfully formulated the final Schrödinger equation. Through this exploration, we could gain a deeper understanding of the scientific advancements and conceptual breakthroughs that led to the creation of the Schrödinger equation, shedding light on its profound impact on the field of quantum mechanics....

2024-09-28 · 12 min · Kairos Wong

KdV 方程求解及其背景

背景介绍 孤子的发现应追溯到1834年的夏日,英国科学家 J.S.Russel 骑马正沿着一条运河岸道旅行,偶然发现在狭窄的河床中行走的船突然停止前进,被船体带动的...

2023-07-09 · 4 min · Kairos Wong

量子分形世界-Hofstadter蝴蝶

从霜花到海岸线,自然界中分形无处不在,近现代物理学中同样不断能够找到分形的影子. 本文回顾了通过类比 Weierstrass 函数,可以从量子气体中寻求到相应的动力学...

2023-07-01 · 11 min · Kairos Wong