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Schrodinger equation of a free particle in the rectilinear

  1. May 13, 2009 #1
    Schrodinger equation of a free particle in the rectilinear


    With the wave function in the laboratory reference already known, relate the wave functions of the initial and new references via phase factors, and represent the time and spatial derivatives of the initial wave function with those of the wave function in new reference. Through adjusting the phase factor, conclusions are drawn that when the rectilinear reference frame moves uniformly to the laboratory reference, the form of Schrodinger equation remains unchanged; yet if the rectilinear reference is under uniform acceleration, the Schrodinger equation (and its Hamiltonian) will add an energy dimensional term equivalent to a static potential field towards the opposite direction of the acceleration. In the end extensions of the conclusions are put forward.
     
    Last edited by a moderator: May 14, 2009
  2. jcsd
  3. May 14, 2009 #2

    jtbell

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    Staff: Mentor

    Tian WJ, please read your private messages. Click on the link "Your Notifications" at the top right of the page, underneath "Welcome, Tian WJ. You last visited..."
     
    Last edited: May 14, 2009
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