P3316 spring2009 lecture20 - Cornell Universityliepe/webpage/docs/P3316... · 2010-05-06 ·...
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-5 0 5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 x E/ h ϖ ϖ ϖ ϖ V(x) E n ψ ψ ψ (x) Lecture 20: 03/04/09 Numerical solution of Schrödinger's Equation
Transcript of P3316 spring2009 lecture20 - Cornell Universityliepe/webpage/docs/P3316... · 2010-05-06 ·...
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Lecture 20: 03/04/09
Numerical solution of Schrödinger's Equation
II2,5 The simple harmonic oscillator potential V(x)=1/2cx 2:
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V(x)En
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Atomic molecule vibrationAtomic molecule vibration
Near equilibrium: simple harmonic ωh)2
1( += nEn
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21
mm
mm
+=µ
reduced mass, µµµµ
Example: CO2
Molecule vibration and rotation:
Example: H2O
II2,6 Numerical Solution of the time-indep. Schrödinger E qu.:
