How do I decide that a particle is isolated?

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In summary, the conversation discusses the concept of treating particles as isolated quantum systems and when it is appropriate to do so. The criteria for determining if a system is bipartite is also mentioned. It is stated that if there is no decoherence within the timescale of an experiment, the rest of the world can be ignored in the evolution of a particle or system of particles.
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frogeraie
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Every particle in the universe has been, at a given point of its history, interacting with other particles. So, how is it possible to decide whether a given particle can be treated as an isolated quantum system the states of which are vectors of a single Hilbert space? Altenatively, what conditions will force us to consider electron pairs emitted by radioactive decay or photon pairs resulting of radiative cascade, as a single system describe by a tensor product of two Hilbert spaces?
What is the criteria to decide whether a system is bipartite?
 
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For the evolution of a particle or a system of particles, you can ignore the rest of the world if there is no decoherence happening within the timescale of your experiment.
 

1. How do I determine if a particle is isolated?

The first step in determining if a particle is isolated is to define the system being studied. Isolated particles are those that do not interact with any other particles or systems. This means that there is no exchange of energy, matter, or forces between the particle and its surroundings.

2. What factors should be considered when deciding if a particle is isolated?

There are several factors that should be considered when determining if a particle is isolated. These include the size of the system, the distance between the particle and its surroundings, and the strength of any potential interactions with other particles or systems.

3. How can I experimentally confirm that a particle is isolated?

One way to experimentally confirm that a particle is isolated is by measuring its energy and momentum. If the particle's energy and momentum remain constant over time, it can be concluded that it is isolated and not interacting with its surroundings.

4. Can a particle ever truly be considered isolated?

In theory, yes, a particle can be considered isolated if it is not interacting with any other particles or systems. However, in reality, it is nearly impossible to completely isolate a particle from all external influences. There will always be some level of interaction with the surrounding environment.

5. Why is it important to determine if a particle is isolated?

Determining if a particle is isolated is important in understanding its behavior and how it may interact with other particles or systems. It also allows for more accurate calculations and predictions in scientific experiments and simulations.

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