Calculating Operator Addition on Ket Vectors: Understanding the Dirac Problem

  • Thread starter rubertoda
  • Start date
  • Tags
    Dirac
In summary, the calculation for Sz|1>|0> would depend on how Sz is defined, whether it acts on the first or second ket, or a combination of both.
  • #1
rubertoda
33
0
If i have an operator (for example Sz) and then add it on two kets in a row

i e. Sz|1>|0>

How could you calculate this?

should i first add it on the |1> and then the |0> ?


help please
 
Physics news on Phys.org
  • #2
The answer would depend on how Sz is defined. Sz could be an operator that is defined to act only on the first ket in |1>|0>, so Sz|1>|0> = (Sz|1>)|0>. Or it could be defined to act only on the second ket.

Or, you could have a case where Sz = S1z +S2z where S1z acts only on the first ket and S2z acts only on the second ket. In that case Sz|1>|0> = (S1z|1>)|0>+|1>(S2z|0>)
 

Related to Calculating Operator Addition on Ket Vectors: Understanding the Dirac Problem

1. What is a simple Dirac problem?

A simple Dirac problem is a mathematical model that describes the behavior of particles with spin. It was developed by physicist Paul Dirac and is based on his equation, which combines quantum mechanics and special relativity.

2. How is a simple Dirac problem solved?

A simple Dirac problem can be solved using various mathematical techniques, such as separation of variables or perturbation theory. The solution involves finding the energy levels and wavefunctions of the particles described by the problem.

3. What are the applications of a simple Dirac problem?

A simple Dirac problem has many applications in physics, particularly in the study of subatomic particles. It is used to understand the behavior of particles with spin, such as electrons, and has also been applied in fields such as quantum field theory and solid state physics.

4. What are the limitations of a simple Dirac problem?

A simple Dirac problem has some limitations in its applicability. It only applies to free particles and does not account for interactions between particles. It also does not fully incorporate the effects of quantum electrodynamics, which is necessary for a complete understanding of particles with spin.

5. How does a simple Dirac problem relate to other theories in physics?

A simple Dirac problem is closely related to other theories in physics, such as special relativity and quantum mechanics. It combines these two theories to provide a more complete understanding of particles with spin. It also serves as a foundation for more advanced theories, such as quantum field theory.

Similar threads

  • Advanced Physics Homework Help
Replies
14
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
3
Views
915
  • Advanced Physics Homework Help
Replies
3
Views
1K
  • Advanced Physics Homework Help
Replies
1
Views
940
  • Advanced Physics Homework Help
Replies
2
Views
1K
  • Advanced Physics Homework Help
Replies
1
Views
981
  • Advanced Physics Homework Help
Replies
3
Views
2K
  • Advanced Physics Homework Help
Replies
9
Views
2K
Replies
11
Views
1K
Back
Top