Thread: 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

Originally Posted by Chris L T521

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.

Originally Posted by Chris L T521

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.

Originally Posted by mr fantastic

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.

Originally Posted by Chris L T521

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

Shankars Quantum Mechanics or Sakurai Quantum Mechanics are good books.