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Quantum Mechanics Help

  1. Sep 18, 2014 #1
    We have been doing the harmonic oscillator in lecture and I am very confused with the annihilator operator and creation operator. Could someone explain their significance? I am taking linear algebra right now too, but we haven't gotten into operators yet. I've been very discouraged lately with Quantum.
     
  2. jcsd
  3. Sep 18, 2014 #2
    Hamiltonian
    [tex]H=\frac{k}{2}x^2+\frac{1}{2m}p^2[/tex] is sum of two terms. This can be written as
    [tex]H=\hbar \omega (a^\dagger a + \frac{1}{2})[/tex] product of operators plus constant

    We can interpret this product as successive operation, FIRST DESTROY THEN PRODUCE.
    This is the stimulating point of view.
     
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