Shrodinger's Waves, and Heisenberg's Matrices

[Leucippus]

It's my understanding that there is a direct correspondence between Schrodinger's wave equation and Heisenberg's matrix representations. I've always wanted to understand this equivalence but never really took the time to look into it.

I'm just now getting back into re-learning Matrix or Linear Algebra, and I would like to learn how this fits in with Schrodinger's wave equation. Are there any good resources that address this specific issue? Especially showing introductory level problems that make a good correspondence between Schrodinger's equation and Matrix Algebra as Heisenberg was using it?

Thanks.

 

[DrClaude]

Basically, it all boils down to chosing a basis set to express the wave functions, after which wave functions become vectors and operators matrices.

A good introduction can be found in the quantum mechanics book by C. Cohen-Tannoudji et al., chapter II.

 

[Leucippus]

Thanks DrClaude,

I'll see if I can find a copy of that book at my college library.

By the way that book is two volumes. Can you tell me whether that's chapter II of volume I or volume II? I might need to order it via inter-library loan. So I'd like to make sure I get the right book.

Thanks

 

[DrClaude]

It's in volume I.

 

[Leucippus]

That's encouraging since he's doing this right off the bat at the beginning of his book in chapter II. I think I'm going to like this guy's style.

So thank you very much for the reference. I truly appreciate it.