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The addition of the wave functions for a system

  1. Mar 24, 2013 #1
    the wave functions of individual particles can be added together to create a wave function for for system, that means quantum theory allows physicists to examine many particles at once??...how is it possible if the wave function of each particles is different??....is it based on rules of probability??
     
  2. jcsd
  3. Mar 24, 2013 #2

    strangerep

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    Not added. One must form the "tensor product" of the two Hilbert spaces.
     
  4. Mar 25, 2013 #3

    tom.stoer

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    Consider a single particle wave function ψ(x) for a single particle. Adding two such wave functions ψa(x) + ψb(x) still describes one single particle.

    In order to describe two particles you have to introduce two positions x and y and you have to use the product ψa(x) * ψb(y)
     
  5. Mar 25, 2013 #4
    and isnt it guided by the rules of probability?
     
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