N ∆ x H = ε* ∂E/∂t
N
N S ∆ x E = - μo ∂H/∂t
εo = dielectric constant or pemittivity μo = permeability
1 μoεo = c2
∆ ∆ ∆ ∆ x H = ε* ∂E/∂t x E = - μ* ∂H/∂t 2 x E = ε*μ* ∂E2/∂t2 2 x H = ε*μ* ∂H2/∂t2
E = Eo e iωt-γx ν = ω/2π E = Eo e iωt-γx E = Eo e iωt
∆ ∆ 2 x E = ε*μ* ∂E2/∂t2 2 x E = k ∂E2/∂t2 E = Eo e iωt Ψ = ψo e iωt 2π ν = ω p = h/ ν
∆ ∆ ∆ 2 E = k ∂E2/∂t2 2 E = k ∂E2/∂t2 E = Eo e iωt ψo ∂(e iωt )2/∂t2 = - ω2 ψo e iωt 2 ∆ Ψ = ψo e iωt = ∂2/∂x2 + ∂2/∂y2 + ∂2/∂z2 4π2ν = ω2 2π ν = ω p = h/ ν 4π2ν = ω2 p/h = ν 4π2p/h2 = ω2 p2/ħ2 = ω2
∆ ∆ 2 E = k ∂E2/∂t2 E = Eo e iωt ψo ∂(e iωt )2/∂t2 = - ω2 ψo e iωt 2 = ∂2/∂x2 + ∂2/∂y2 + ∂2/∂z2
4π2ν = ω2 2π ν = ω p = h/ λ 4π2ν = ω2 p= hν ν = 1/ λ 4π2p/h2 = ω2 p2/ħ2 = ω2 p = hω/2π E = T + V ½ mv2 = p2/2m E = p2/2m + V p2 = 2m(E-V) ω2 = 2 ħ-2m (E-V) p = ħω p2/ħ2 = ω2 p2/ħ2 = ω2
∆ ∆ ∆ ∆ ∆ E = Eo e iωt = ∂2/∂x2 + ∂2/∂y2 + ∂2/∂z2 2 ψo e iωt = - ω2 ψo e iωt Ψ = ψo e iωt 2 ∆ ψo = - ω2 ψo 2 ∆ ψo + ω2 ψo = 0 ω2 = 2 ħ-2m (E-V) 2 ∆ ψo + 2 ħ-2m (E-V) ψo = 0 2 8π2h2 ψo + (E-V) ψo = 0 ∆ m
E = T + V ½ mv2 = p2/2m E = p2/2m + V p2 = 2m(E-V)
N
N S