Can the spin cause the collapse?

  • Context: Undergrad 
  • Thread starter Thread starter forofo
  • Start date Start date
  • Tags Tags
    Cause Collapse Spin
Click For Summary
SUMMARY

The discussion centers on the relationship between the spin state of particles and the collapse of the wavefunction in the context of the 1D Dirac equation. It establishes that while electromagnetic (EM) fields from matter can influence spin orientation (up or down) on the Bloch sphere, they do not directly cause wavefunction collapse. The collapse is fundamentally linked to measurement events rather than the current matrix reflecting spin states. The current matrix in the Dirac equation pertains to probability currents, not directly to spin states, and the position matrix can have multiple values without affecting the collapse process.

PREREQUISITES
  • Understanding of the 1D Dirac equation
  • Familiarity with quantum mechanics concepts such as wavefunction collapse
  • Knowledge of Bloch sphere representation of quantum states
  • Basic principles of electromagnetic fields in quantum systems
NEXT STEPS
  • Study the implications of measurement in quantum mechanics
  • Explore the role of the current matrix in the Dirac equation
  • Investigate the Bloch sphere and its applications in quantum computing
  • Learn about the relationship between electromagnetic fields and quantum state manipulation
USEFUL FOR

Quantum physicists, students of quantum mechanics, and researchers interested in the foundations of quantum theory and wavefunction behavior.

forofo
Messages
4
Reaction score
1
TL;DR
Solving 1D Dirac equation there are 2 matrixs, and from those we get the space probability and current. If that current reflects the spin state, could happen than the EM fields from the matter acting as potentials, drives the spin to up or down, and when it reaches the north os south pole in bloch sphere, there is the collapse.
Solving 1D Dirac equation there are 2 matrixs, and from those we get the space probability and current. If that current reflects the spin state, could happen than the EM fields from the matter acting as potentials, drives the spin to up or down, and when it reaches the north os south pole in bloch sphere, there is the collapse.
Not only Like the momentum is atached to the position (it's FFT), I also the current in Dirac equation is a view of it. So if the current matrix is driven to a state that reflects a spin in north or south pole in bloch sphere (like in grover's search ),then we could say that the particle has collapsed?. Also the I suposse that in that case the position matrix must have only one value.
 
Physics news on Phys.org
It is possible that the EM fields from matter acting as potentials can drive the spin to up or down, but there is no direct connection between this and the collapse of the wavefunction. The collapse of the wavefunction is usually associated with a measurement event, such as when the particle is observed by an observer. It is not clear how EM fields from matter acting as potentials would cause a collapse of the wavefunction. In regards to the Dirac equation, the current matrix does not necessarily reflect the spin state. The current matrix is related to the probability current, which describes how likely it is for a particle to move from one location to another. It does not necessarily reflect the spin state of the particle. Furthermore, it is not necessary for the position matrix to have only one value in order for the particle to collapse. The wavefunction of the particle will collapse once a measurement event occurs, regardless of the values in the position matrix.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 87 ·
3
Replies
87
Views
8K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 16 ·
Replies
16
Views
4K