Quantum Trajectories: Bubble Chamber & Detector Meaning

In summary, a quantum trajectory is a probabilistic description of how a quantum system evolves over time, taking into account the uncertainty of quantum mechanics. It is studied using devices like bubble chambers and detectors, which measure and track the path of particles. Understanding quantum trajectories is important for gaining insight into the fundamental laws of nature and has practical applications in fields like quantum computing. These trajectories also relate to the uncertainty principle, which states that it is impossible to know both the position and momentum of a particle simultaneously.
  • #1
ChrisVer
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If quantum mechanics don't allow the term trajectory for particles, then what do we see in bubble chambers, or what's the meaning of trying to "reconstruct" particle trajectories within a detector?
 
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  • #2
There was a discussion here https://www.physicsforums.com/showthread.php?t=758778.

stevendaryl pointed out that the problem was treated by Mott.
http://www.ba.infn.it/~pascazio/publications/Particle_tracks_and_the_mechanis.pdf
http://arxiv.org/abs/0907.5503
http://arxiv.org/abs/1209.2665v1

There's also the interesting formalism of continuous measurement.
http://arxiv.org/abs/quant-ph/0611067
http://arxiv.org/abs/math-ph/0512069

Regardless of mathematics, the "uncertainty principle" heuristic I have is that these tracks are wide for a "point particle", so although neither position nor momentum are measured perfectly, the coarse measurement of position doesn't conflict with the simultaneous finer (but still not perfectly accurate) measurement of momentum.
 
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  • #3
thanks!
 
  • #4
ChrisVer said:
If quantum mechanics don't allow the term trajectory for particles, then what do we see in bubble chambers, or what's the meaning of trying to "reconstruct" particle trajectories within a detector?
In such experiments we really detect the trajectory of a localized wave function. In quantum mechanics the concepts of "wave function" and "particle" are different concepts, but careless writers sometimes do not care to clearly distinguish them.
 

Related to Quantum Trajectories: Bubble Chamber & Detector Meaning

1. What is a quantum trajectory?

A quantum trajectory is a path that a quantum system follows as it evolves over time. It is a probabilistic description of how a quantum system moves and changes, taking into account the uncertainty inherent in quantum mechanics.

2. What is a bubble chamber and how is it used in quantum trajectories?

A bubble chamber is a device used to detect and track the paths of high-energy particles. It consists of a chamber filled with a superheated liquid, which creates tiny bubbles along the path of a charged particle passing through it. These bubble tracks can be photographed and used to study the behavior of particles and their quantum trajectories.

3. How does a detector play a role in observing quantum trajectories?

A detector is a crucial component in the study of quantum trajectories. It is used to measure the position, momentum, and other properties of a quantum system, which allows us to observe and track its trajectory. Detectors can also influence the trajectory of a particle, as the act of measurement can cause the system to collapse into a specific state.

4. What is the significance of understanding quantum trajectories?

Studying quantum trajectories can provide insight into the behavior of particles at the quantum level and help us understand the fundamental laws of nature. It also has practical applications in fields such as quantum computing, where controlling and manipulating the trajectories of particles is crucial for performing calculations and creating quantum technologies.

5. How do quantum trajectories relate to the uncertainty principle?

The uncertainty principle, a fundamental principle of quantum mechanics, states that it is impossible to know both the position and momentum of a particle simultaneously. Quantum trajectories take this uncertainty into account, providing a probabilistic description of the particle's path rather than a definite trajectory. This is a key concept in understanding the behavior of particles at the quantum level.

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