MHB Null Column Vector vs $ |0 \rangle$

  • Thread starter Thread starter ognik
  • Start date Start date
  • Tags Tags
    Column Vector
Click For Summary
There is no difference between a 'null column vector' and the ket notation $ |0 \rangle $ in the standard matrix interpretation. Kets represent column vectors, while bras are their complex conjugate transposes, functioning as row vectors. However, distinctions may arise in infinite-dimensional Hilbert spaces. Understanding these nuances is essential for advanced applications in quantum mechanics. The discussion highlights the importance of context in mathematical interpretations.
ognik
Messages
626
Reaction score
2
Hi - is there any difference between 'null column vector' and $ |0 \rangle $? Ta
 
Physics news on Phys.org
There's no difference in the usual matrix interpretation of bras and kets. Kets are column vectors, and bras are complex conjugate tranposes, so they're row vectors. This does change in infinite-dimensional Hilbert space.
 

Thread 'Confusion about the Moyal-Weyl twist'

I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...
View full post »

Similar threads

Undergrad Proof concerning the Four Fundamental Spaces
  • · Replies 14 ·
Replies
14
Views
3K
MHB Are the Vectors S and T in the column of (ABC)
  • · Replies 1 ·
Replies
1
Views
1K
Reason for just a 0 vector in a null space of a L.I matrix
  • · Replies 4 ·
Replies
4
Views
1K
MHB How to find a non-zero vector in the column space of M
  • · Replies 1 ·
Replies
1
Views
5K
Proving vectors are in the column space
  • · Replies 3 ·
Replies
3
Views
2K
MHB How to Compute Coordinate Column Vectors in Different Bases?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Passive Transformation and Rotation Matrix
  • · Replies 1 ·
Replies
1
Views
3K
MHB Understanding One-Sided Ideals in Mathematics
  • · Replies 5 ·
Replies
5
Views
2K
MHB Row Space, Column Space and Null Space
  • · Replies 1 ·
Replies
1
Views
4K
Differences between row and column vectors
  • · Replies 25 ·
Replies
25
Views
5K