Timeline for Difference between particle and state
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 12, 2017 at 8:53 | vote | accept | MBolin | ||
| Nov 10, 2017 at 18:46 | comment | added | WInterfell | Yes, that's the definition of indistinguishable particle. They emerge from the same vacuum field. That is the reason you can apply commutation relationship of creation and annihilation operators for indistinguishable particles. | |
| Nov 10, 2017 at 14:06 | comment | added | MBolin | I don't know much about QFT, but I understand that particles are excitations of fields. Is it only one field that, depending on the type of excitation, gives an up quark or a down quark? | |
| Nov 5, 2017 at 14:03 | comment | added | WInterfell | @MiguelBolín Sorry for being late. Identical particle means they are emerged from same vacuum space or belong to same Hilbert space(though 2nd one is the consequence of the first). But this does not mean it will have same orientation of color or spin. | |
| Nov 2, 2017 at 22:34 | comment | added | MBolin | I don't understand that. If up and down quark are identical particles, why do they have different names? | |
| Nov 2, 2017 at 20:47 | comment | added | WInterfell | Identical particles are up and down quarks. However, when the state of the identical particles are convex mixtures of pure states. You cannot identify them as particles. It's the consequence of GHJW theorem. | |
| Nov 2, 2017 at 20:44 | comment | added | MBolin | What are those identical particles in the system $\Delta^0$ @WInterfell ? | |
| Nov 2, 2017 at 20:44 | history | edited | WInterfell | CC BY-SA 3.0 |
added 2 characters in body
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| Nov 2, 2017 at 20:40 | comment | added | MBolin | That does answer my question (partially). Up and down quarks are states, just like spin up or down. If an electron can be in spin up or spin down states, what particle can be in up quark or down quark states? | |
| Nov 2, 2017 at 20:40 | comment | added | WInterfell | At best you can say quantum state of quarks that belongs to $\Delta^{0}$ Baryons is maximally mixed. However, as I mentioned in the answer , it does not make sense to talk about state of individual "particles" in a system of identical particles. | |
| Nov 2, 2017 at 20:34 | comment | added | WInterfell | How do you define electron as a particle? In quantum Mechanics, there is no definition of particles. Only quantum state is defined. | |
| Nov 2, 2017 at 20:29 | comment | added | MBolin | Sorry but I think you didn't understand my question. The two electron case was just something I understand and which looks similar to the case I don't understand. Two electrons are two identical particles, and your answer explains their state. What are the three identical particles that form a $\Delta^0$ ? | |
| Nov 2, 2017 at 20:22 | history | answered | WInterfell | CC BY-SA 3.0 |