Can two particles be in the same place at the same time?

In summary, particles can only be said to occupy the same space at the same time if they are in different quantum states. This is due to the Pauli Exclusion principle, which states that fermions cannot occupy the same energy state in a system. Bosons, on the other hand, can occupy the same quantum state, as seen in the example of a photon of light. This distinction is important in understanding the behavior and properties of different elements.
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Can two particles ever be said to occupy exactly the same space at the same time while remaining distinct objects?
 
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JamesN said:
occupy exactly the same space at the same time

As you state it, this is really too vague to answer. A better way to ask would be: can two particles ever be in exactly the same quantum state at the same time. The answer to that question is what @jedishrfu is giving in post #2.

An example of why "the same quantum state" is not the same as "the same space" is different energy levels in an atom. In an atom with multiple electrons, the wave functions of those electrons overlap in space, so they can all be viewed as occupying "the same space" at the same time. But electrons are fermions, so no two of them can be in the same quantum state at the same time. That is the underlying reason for the different chemical properties of different elements that are described in the periodic table.
 
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Can two particles be in the same place at the same time?

This is a common question in quantum mechanics and has intrigued scientists for years. The answer is yes and no, depending on the context.

What is the Pauli exclusion principle?

The Pauli exclusion principle states that no two identical fermions can occupy the same quantum state simultaneously. This means that two particles cannot be in the exact same place at the same time, but they can be extremely close to each other.

Can two particles with different quantum states be in the same place at the same time?

Yes, particles with different quantum states, such as bosons, can occupy the same space at the same time. This is known as Bose-Einstein condensation and has been observed in experiments with ultra-cold atoms.

How does quantum entanglement relate to particles being in the same place at the same time?

Quantum entanglement is a phenomenon in which two or more particles become connected in such a way that the state of one particle is dependent on the state of the other, even when they are separated by great distances. This does not necessarily mean that the particles are in the same place at the same time, but they are still connected in a unique way.

What are the implications of particles being in the same place at the same time?

This concept has many implications in quantum mechanics and has led to the development of technologies such as quantum computing and cryptography. It also challenges our understanding of space and time and has raised philosophical questions about the nature of reality.

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