Register to reply 
What will i use in Quantum maths from linear algebra? 
Share this thread: 
#1
Jan2913, 10:47 AM

P: 16

What is the linear algebra background for Quantum maths? Matrices? Basis's? Matrix trans.? Coordinate Systems?
Please help me, and im sorry if i posted this in the wrong place... 


#2
Jan2913, 12:19 PM

Mentor
P: 11,589

Plus some general properties of vector spaces, different bases, eigenvalues of various operators and so on. 


#3
Jan2913, 04:31 PM

Emeritus
Sci Advisor
PF Gold
P: 9,249

Complex vector spaces, linear independence, bases, inner products, inner product spaces, orthonormal bases, linear operators, matrices, matrix multiplication, a theorem about which matrices are invertible, the relationship between linear operators and matrices, the adjoint operation, selfadjoint linear operators, eigenvectors and eigenvalues, and the spectral theorem.
Since the relationship between linear operators and matrices is very important, I recommend that you use a book that presents those things early in the book, like Axler or Friedberg, Insel & Spence. (I have only read the former, but I've heard good things about the latter). You may not need all of those things for an introductory course. It may be enough to understand complex inner product spaces, orthonormal bases and selfadjoint linear operators. But you will need the rest if you want to get good at QM. 


Register to reply 
Related Discussions  
Need help understanding Linear algebra proofs (and linear algebra in general)  Linear & Abstract Algebra  10  
Need textbook suggestion for linear algebra prerequisites for quantum mechanics  Science & Math Textbooks  2  
Seemingly simple quantum mechanics/linear algebra problem  Advanced Physics Homework  6  
Linear algebra, vector spaces (for quantum)  Calculus & Beyond Homework  5  
Quantum/linear algebra and vector spaces  Advanced Physics Homework  1 