- Skarbā kvantu mehānika
- 15.8.04 19:18
Ψ (x, y, z, t) = ψ (x, y, z) exp (–iWt/ћ)
│Ψ│2 = Ψ Ψ* = ψ exp (–iWt/ћ) ψ* exp (iWt/ћ) = ψ ψ* = │ψ│2
iћψ (–iW/ћ) exp (–iWt/ћ) = – (ћ2/2m0) exp (–iWt/ћ) Δψ + Wpψ exp (–iWt/ћ)
– ћ2/2m0Δψ + Wpψ = W ψ
Δψ + (2m0/ћ2) (W – Wp) ψ = 0
d2ψ/dx2 + k2ψ = 0
Wn = ћ2k2/2m0 = (π2ћ2/2m0l2) n2
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ψ (x) = √2/l sin (nπx/l)
ΔW = (π2ћ2/2m0l2) (2n + 1); ΔW/W = (2n + 1)/n2
d2ψ/dx2 + 2m0/ћ2 (W – (m0ω02/2) x2) ψ = 0
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