Type:

Other

Description:

Schrödinger representations are well known in quantum mechanics, harmonic analysis, and representation theory. They are infinite-dimensional irreducible representations of the Heisenberg group. They are parametrized by linear functionals ... that are elements of ... and act on functions by multiplication of characters, modulations, and translations. This Demonstration shows how these representations act on a set of functions of compact support. The function is plotted in ... on the left; on the right is the graph of the norm of the function. The central action comes from the action of the elements related to the center of the Heisenberg group acting by the multiplication of characters. The other noncentral elements are related to modulations and translation operators.

Subjects:

    Education Levels:

      Keywords:

      EUN,LOM,LRE4,work-cmr-id:262341,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/SchroedingerRepresentationsInFunctionTheory/,ilox,learning resource exchange,LRE metadata application profile,LRE

      Language:

      Access Privileges:

      Public - Available to anyone

      License Deed:

      Creative Commons Attribution 3.0

      Collections:

      None
      This resource has not yet been aligned.
      Curriki Rating
      'NR' - This resource has not been rated
      NR
      'NR' - This resource has not been rated

      This resource has not yet been reviewed.

      Not Rated Yet.

      Non-profit Tax ID # 203478467