15. Augusts 2004

• 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 + W_pψ exp (–iWt/ћ)

  – ћ²/2m₀Δψ + W_pψ = W ψ

  Δψ + (2m₀/ћ²) (W – W_p) ψ = 0

  d²ψ/dx² + k²ψ = 0

  W_n = ћ²k²/2m₀ = (π²ћ²/2m₀l²) n²

                ___

  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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• 15.8.04 21:01
• Life is complex - it has real and imaginary parts
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