Results 1 to 6 of 6

Math Help - 3-D Schrodinger Equation

  1. #1
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3

    3-D Schrodinger Equation

    I finished this project for physics III on the 3-D Schrodinger Equation, and I'd like to know if there are some good books out there on Legendre Functions/Polynomials and Laguerre Polynomials, for they played a big role in solving the equation.

    Also, I'd like to get some criticism back on this paper. I'd appreciate any feedback!

    --Chris
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Chris L T521 View Post
    I finished this project for physics III on the 3-D Schrodinger Equation, and I'd like to know if there are some good books out there on Legendre Functions/Polynomials and Laguerre Polynomials, for they played a big role in solving the equation.

    Also, I'd like to get some criticism back on this paper. I'd appreciate any feedback!

    --Chris
    I've had a bit of a read. Did you do all this without using any references ......?

    You should find that most textbooks on quantum mechanics give good mathematical background on the sort of polynomials that occur when solving the Schrodinger Equation.

    Alternatively, most textbooks whose title contains three of the words Methods Mathematical Theoretical Physics will do the job you want.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by Chris L T521 View Post
    Also, I'd like to get some criticism back on this paper. I'd appreciate any feedback!
    You should have done it like all books on mathematical physics out there. Namely, instead of showing the derivations just say what to substitute. Therefore, instead of showing how the substitution changes the Laplacian in three dimensions just show the substitution and skip all the steps. That is what I would do. Because all mathematical physics book do that, so I will take revenge and do the same. If they are not going to show how they derive stuff then I will not.

    But your paper looks cool.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by mr fantastic View Post
    I've had a bit of a read. Did you do all this without using any references ......?

    You should find that most textbooks on quantum mechanics give good mathematical background on the sort of polynomials that occur when solving the Schrodinger Equation.

    Alternatively, most textbooks whose title contains three of the words Methods Mathematical Theoretical Physics will do the job you want.
    I used a really good quantum mechanics book, but it didn't go into much detail about the Legendre polynomials...unless it may have, but not in the sections I was dealing with.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Chris L T521 View Post
    I used a really good quantum mechanics book, but it didn't go into much detail about the Legendre polynomials...unless it may have, but not in the sections I was dealing with.
    Then it's essential that you reference your paper accordingly .....

    APA REFERENCE STYLE: Table of Contents
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Jun 2008
    Posts
    170
    Shankars Quantum Mechanics or Sakurai Quantum Mechanics are good books.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. schrodinger
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: April 9th 2011, 12:00 PM
  2. [SOLVED] The WKB approximation to the Schrodinger Equation
    Posted in the Calculus Forum
    Replies: 13
    Last Post: December 11th 2010, 12:33 PM
  3. [SOLVED] Time Independant Schrodinger Equation: Hamiltonian Query
    Posted in the Advanced Applied Math Forum
    Replies: 7
    Last Post: October 28th 2010, 01:35 PM
  4. Intro to PDE's, Schrodinger's Equation
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: November 6th 2009, 08:50 AM
  5. How does the Schrodinger Equation help us solve equations
    Posted in the Advanced Applied Math Forum
    Replies: 5
    Last Post: April 2nd 2008, 04:03 PM

Search Tags


/mathhelpforum @mathhelpforum