Table of Contents
- 1 What is the difference between distinguishable and indistinguishable particles?
- 2 In which statistics particles are distinguishable?
- 3 What is the difference between identical and indistinguishable?
- 4 Why classical particles are distinguishable?
- 5 What is the difference between a distinguished particle and an indistinguished particle?
- 6 What is the nature of individualistic particles?
What is the difference between distinguishable and indistinguishable particles?
If they are distinguishable (Like a helium-3 atom and a helium-4 atom), then you can switch their positions and the system changes. If they are indistinguishable (Like two protons), switching the two particles’ positions makes no physical change because we do not know whether particles switched at all.
How many statistics are used to study the particles which are identical distinguishable and indistinguishable?
Notice that the weight of each distribution of the particles is equal to one for Bose-Einstein and Fermi-Dirac statistics. The two forms of quantum statistics apply to indistinguishable particles for which all possible ways of selecting the particles for a particular distribution are entirely equivalent.
Why are quantum particles indistinguishable?
The statement arose to fit the experimental observations. The mathematical framework of quantum mechanics has to have the elementary particles indistinguishable because that is what has been observed, i.e. the standard model of particle physics that has indistinguishable elementary particles fits the data.
In which statistics particles are distinguishable?
Classical statistics In classical mechanics, all particles (fundamental and composite particles, atoms, molecules, electrons, etc.) in the system are considered distinguishable.
What do you mean by distinguishable particles?
(Two particles are said to be distinguishable if they are either non-identical, that is, if they have different properties, or if they are identical and there are microstates which change under transposition of the two particles.) Thus, the system is described by an ensemble of possible particle compositions.
What are distinguishable and indistinguishable states in automata?
Two states are distinguishable, if there is at least one string S, such that one of δ (X, S) and δ (Y, S) is accepting and another is not accepting. Hence, a DFA is minimal if and only if all the states are distinguishable….Example.
| q | δ(q,0) | δ(q,1) |
|---|---|---|
| c | e | f |
| d | e | f |
| e | e | f |
| f | f | f |
What is the difference between identical and indistinguishable?
Indistinguishable in daily life means pretty much the same thing. In case of electrons, we call them identical because they have the same charge and mass and possibly other parameters (spin…) for similar reasons as we call two xerox copies identical.
Why are classical particles distinguishable?
Classical particles are distinguishable objects, individuated by physical characteristics. By contrast, in quantum mechanics the standard view is that particles of the same kind (“identical particles”) are in all circumstances indistinguishable from each other.
Are electrons distinguishable?
particles, e.g. electrons in a solid, atoms in a gas, etc. In classical mechanics, particles are always distinguishable – at least formally, “trajectories” through phase space can be traced. In quantum mechanics, particles can be identical and indistinguishable, e.g. electrons in an atom or a metal.
Why classical particles are distinguishable?
Classical particles are distinguishable objects, individuated by physical characteristics. The standard view requires quantum particles of the same kind to remain indistinguishable even in the classical limit, so that a transition to the classical picture of the world seems impossible.
What does distinguishable mean in physics?
Two particles are said to be identical if all their intrinsic properties (mass, spin, charge, etc.) are exactly the same: no experiment can distinguish one from the other. When the two particles are still far away from each other, they are distinguishable due to their spatial separation: we can label them “1” and “2”.
What are distinguishable states?
Two states are distinguishable, if there is at least one string S, such that one of δ (X, S) and δ (Y, S) is accepting and another is not accepting. Hence, a DFA is minimal if and only if all the states are distinguishable.
What is the difference between a distinguished particle and an indistinguished particle?
Distinguishable particle is something which can be separated into two or more particles example proton and neutron -can be further divided into quarks. Indistinguishable particles are particles which cannot be divisible example electron. What are some good ways to improve English grammar and writing abilities for a non-native speaker?
What is the nature of distinguishable particles?
As the name suggests, distinguishable particles can be distinguished from one another. You can tell which is which particle in this case. They have an individualistic nature. Two particles may be identical yet treated as distinguishable as is done in classical statistical mechanics.
How do you distinguish between particles and molecules in an assembly?
Since there is no way in which the molecules can be labeled, the particles are indistinguishable. On the other hand, if the assembly is a crystal, the molecules can be labeled in accord with the positions they occupy in the crystal lattice and can be considered distinguishable.
What is the nature of individualistic particles?
They have an individualistic nature. Two particles may be identical yet treated as distinguishable as is done in classical statistical mechanics. Technically, such particles have thermal de Broglie wavelengths much smaller than average interparticle separation. This is what happens in the classical world.