電子與光電材料

期中考範圍

電子的基本性質• Conductivity• Ohm’s law• Mobility• Hall effect• Electromagnetic wave• Maxwell’s equation• Plasma frequency• Cyclotron resonance• Plasma wave• Thermal conductivity• Wavelike properties of electron

氫原子模型與鍵結• Schrödinger’s equation

• Electron in a potential well

• Hydrogen atom

• Quantum number

• Electron spin

• Bonds

• Phase velocity

• Group velocity

constantp

zv f

t k

0

0

0g

k k

zv

t k k k

Maxwell’s Equations

0

enc

B

Eenc

qE dA

B dA

dE ds

dtd

B ds Idt

0

E

B

dBE

dt

dEB J

dt

Spherical coordinates r, ,

Time-Independent Schrödinger’s Equation

22 ( , , ) ( ) ( , , ) ( , , )

2r V r r E r

m

, ,

( , , ) ( ) ( ) ( )

( , , ) ( ) ( , )l

l

mn l m nl l

r R r

r R r Y

Coulomb potential V(r) and its eigenvalues En

Quantum Number and Degeneracy

• principal quantum number (n) 主量子數• azimuthal quantum number (l) 角量子數、角動量量子數

• magnetic quantum number (ml) 磁量子數• spin quantum number (s) 自旋量子數

Qualitative behavior of the kinetic energy K, potential energy U and total

energy E of a hydrogen atom

A polar diagram of the factor which determines the directional dependence of the one-electron atom probability density

Polar diagrams of the directional dependence of the one-electron atom

probability densities

Polar diagrams of the directional dependence of the one-electron atom

probability densities