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Linear Superposition of Hamiltonians

  1. Mar 20, 2009 #1
    The Hamiltonian for a spin 1/2 particle in 2 or more magnetic fields is the sum of its Hamiltonians for each field separately. For instance if I break a magnetic field into components in some coordinate system then the full Hamiltonian is the sum of the separate Hamiltonians for each co-ordinate magnetic field.

    Can someone explain the Physics of why the Hamiltonians can be linearly superposed in this case?
     
  2. jcsd
  3. Mar 20, 2009 #2

    Ben Niehoff

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    Because

    [tex]H = -\vec \mu \cdot \vec B[/tex]

    and B obeys linear superposition.
     
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