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Why introduce matrix in quantum mechanics

  1. Sep 11, 2013 #1

    qls

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    hello,ereryone.I am a senior in china....
    Someone asked me this question,and suddlenly i have no idea.
    Please,give me some help.
    thank!
     
    Last edited by a moderator: Sep 11, 2013
  2. jcsd
  3. Sep 11, 2013 #2
    Because it helps solve problems.
     
  4. Sep 11, 2013 #3

    bhobba

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    Its a natural part of a vector space's structure and associated linear transformations as any book on linear algebra will attest to. Same in QM, since its underlying space of states forms a vector space.

    Thanks
    Bill
     
  5. Sep 15, 2013 #4

    meBigGuy

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    A matrix is a way to transform a vector into another vector. For example, it can rotate a vector. In QM a state vector is used to represent Quantum State so if you want to operate on that state (measure spin for example) you can use a particular type of matrix (an observable such as a spin operator) to operate on the spin state vector. Using this you can determine the measured state, and probabilities.
     
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