Quantum Mechanics Done Right中曾说物理学家喜欢在内积的定义中采用第二个位置的加性和齐性，原来是因为物理学中习惯用右矢 Shankar_ch.11.6 notes名词对应： Unitary（酉算子）— 等距同构 Hermitian — self-adjoint（自伴） Dirac记号非常直观，比如算子的矩阵 $...

结识Shankar源于普通物理学I(H)，那门课的参考教材就是Shankar写的Yale公开课—基础物理。虽然我几乎没怎么看这本教材，但是他书里的段子却听同学讲了很多，实在是过于幽默了。我自己看这本书几乎是跳过正文，专看一些段子 得知Shankar的书平易近人，于是就选择阅读他的量子力学教材，虽然有点厚。 该集合就是Shankar的Principles of Quantum Mechanic...

Analog CircuitsPhysics and Basic DevicesBand TheoryCore Analogy:A Band is just like a tube with water in. Water molecules here represent electrons, and bubbles represent holes. Fermi-Dirac Distribu...

click here to save the pdf version of this article Mathematical PhysicsPartial Differential EquationThe Classes of PDEWe only discuss PDE with two variables. Basic PDE ExampleWhat matters is to fi...

click here to save the pdf version of this article Mathematical PhysicsBased on Qiao Gu’s and Liang’s. Complex FunctionBasic DefinitionsFor a complex function $f(z)=f(x+iy)=u(x,y)+iv(x,y...