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Spread of Wave Function Under Potential

  1. Jun 18, 2010 #1
    I have books (Quantum Theory by Bohm for example) with derivation of the spread of the wavefunction of a free particle in the Schrodinger equation. But does this spreading only happen as a free particle? What about under the general Schrodinger equation where there exist potentials that seem to confine it? Is there a more general spread relation including potentials. Related to this question is the general solution for a single particle Schrodinger Equation...is there a simple fourier transform type solution? Is the phenomena of spreading wavefunction simply eliminated by assuming boundary conditions? For example, in the Hydrogen atom solution what is the spread term if any? What are the boundary conditions for the hydrogen atom?
     
  2. jcsd
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