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Understanding schrodinger equation

  1. Jun 18, 2012 #1
    Note : I am not sure this is the right section for posting it , but from the rules section i saw that this section can be used for homework related queries and independent study .

    1. The problem statement, all variables and given/known data

    Understanding schrodinger equation . i want to understand the solutions of this equation and how it works. I want to know what are the preliminaries for understanding it .

    2. Relevant equations

    3. The attempt at a solution

    I know about the general theories regarding atoms like Bohr model , Sommerfeld model , wave particle duality of light , de Broglie's relation , etc .

    I know the basics of integration , differentiation , complex numbers , vectors , etc . Most of these topics are self-studied so i don't have mastery over them .

    Please advise me as to what i should learn in order to be able to understand the schrodinger equation . I am in High school at present but since it is generally taught at college level , i decided to post it here .
     
    Last edited: Jun 18, 2012
  2. jcsd
  3. Jun 19, 2012 #2

    BruceW

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    Homework Helper

    I don't think this is the right section really for your question. I think the quantum physics section would be the best. But I'll try to answer your question anyway.

    I think complex numbers and differentiation are important for being able to 'get a feel' for the Schrodinger wave equation. Some of the most simple examples of the use of the Schrodinger equation are the 'particle in a box', plane waves, and step potential. These are the things I would start with first. The electron around a central potential is a little more complicated because it is in 3d, and there are concepts of angular momentum.

    It would also be useful to learn a bit about damped simple harmonic oscillators (in the classical sense), because this is a really good way to see the usefulness of complex numbers. (Like how you can use a complex frequency to represent oscillation and a decay of amplitude).

    P.S. Welcome to physicsforums! :)
     
  4. Jul 2, 2012 #3
    Thanks for the answer . I guess i need to learn a little more than i currently know and i will be ready for that equation
     
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