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rahaverhma
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How anything can be a particle or wave at the same time.
rahaverhma said:How anything can be a particle or wave at the same time.
No, the wave we're talking about are not electromagnetic waves.rahaverhma said:I just want to know that waves we talk about of particles, are they electromagnetic waves ??
It can't. A quantum object is neither a particle nor a wave, although it has some properties that we usually associate with waves and some properties that we usually associate with classical particles.How anything can be a particle or wave at the same time.
Partially true, but I think there is more to it than that, so I also partially disagree, but the full analysis would have to go on a separate thread. Roughly and briefly three points here:Karolus said:What we perceive as a "wave" is only a "name" just to give a name to something, that "in essence" is a mathematical function, like sin and cos.
And what is sin and cos? Trigonometric functions ...
vanhees71 said:As several posters have noted before, there is no wave-particle dualism in "modern quantum mechanics" (the today still valid version of QM has been developed independently in 1925/26 by Heisenberg+Jordan+Born, Dirac, and Schrödinger).
In non-relativistic quantum mechanics one associates a wave function with the "state" of a single particle like an electron, ##\psi(t,\vec{x})##. It takes values in ##\mathbb{C}## (for scalar particles, spin ##s=0##) or ##\mathbb{C}^{2s+1}## (for particles with spin ##s \in \{1/2,1,\ldots \}##). The meaning of the wave function is that
$$P(t,\vec{x})=|\psi(t,\vec{x})|^2$$
is the probability distribution for the position ##\vec{x}## of the particle at time ##t## (Born's Rule).
All the "quantum weirdness" like "wave-particle duality" and similar ideas of "old quantum theory" vanish, as soon as you accept this probabilistic meaning of the wave function (or more generally any kind of quantum state).
sunmaggot said:I remember there were three kinds of interpretations of a measurement on a particle
PeterDonis said:These descriptions seem oversimplified to me. They also seem to assume a collapse interpretation of QM; there are also no collapse interpretations.
sunmaggot said:I remember there were three kinds of interpretations of a measurement on a particle.
1. realist position, which implies that the particle was there before measurement. Because you didn't do measurement, you did not know it was there. This implies a loophole in quantum mechanics that there is hidden variable to determine position of the particle. This is what Einstein believed in.
2. orthodox position, the particle is not anywhere, but observation created a form of measurement (forced wavefunction of the particle to collapse into one determinate state) The method of observation deeply affects the form of measurement you get.
3. agnostic position, refuse to answer such question because it is nutty to ask for position of a particle before measurement.
Bell's inequality proved that the statistic of realist position and orthodox position are different. This eliminated agnostic position. And the result is that orthodox position is correct (This is why Einstein was wrong).
Now back to your question. If you measure position of a particle, you get position of a particle, which is a particle. Now if you measure momentum of the particle, which is related to wavelength by de broglie formula, you get wavelength, which is a wave. Because position and momentum do not commute each other, you cannot get both information accurately. When position wavefunction collapse, you get measurement of a particle, but the momentum measurement is lost. Vice versa, this shows that a free particle has position and momentum, which is particle and wave property. Measurement method will change their property, which is different from classical mechanics. In classical mechanics, properties are static, particle is particle, wave is wave.
But, as PeterDonis implies, there are more ...sunmaggot said:maybe I used wrong words. Three opinions maybe better?
these three are from griffith's book, so maybe there are more.Stavros Kiri said:But, as PeterDonis implies, there are more ...
[Three are the most basic and common ones]
calinvass said:. How can an object behave like a wave? An object is supposed to have its own identity.
That's of course true.N88 said:Any reason for separating the scalar particles out of the ##\mathbb{C}## formula, please? Is this OK:
In non-relativistic quantum mechanics one associates a wave function with the "state" of a single particle like an electron, ##\psi(t,\vec{x})##. It takes values in ##\mathbb{C}^{2s+1}## (for particles with spin ##s \in \{0,1/2,1,\ldots \}##?
Thanks.
Again: Wave-particle dualism is an outdated concept for nearly 100 years now, and if there is anything that is no particle, then it's a photon. It is not even possible to define a position observable for it!calinvass said:We call photons quantum objects, that can behave like a wave or like a particle. How can an object behave like a wave? An object is supposed to have its own identity. Can it keep its identity when it behaves like a wave?
Then that goes into "particles &_fields (or field particles)", which is a different but relevant kind of dualism question ...vanhees71 said:Again: Wave-particle dualism is an outdated concept for nearly 100 years now, and if there is anything that is no particle, then it's a photon. It is not even possible to define a position observable for it!
vanhees71 said:... photon. It is not even possible to define a position observable for it!
Photons are field particles, and fields can be waves (e.g. Electomagnetic field and EM waves). Furthermore, [in QED] photons (or photon states) are the results of the 2nd Quantization (of the EM Lagrangian). [See also previous post, but please maintain separate.]calinvass said:We call photons quantum objects, that can behave like a wave or like a particle. How can an object behave like a wave? An object is supposed to have its own identity. Can it keep its identity when it behaves like a wave?
Its not a concept it's a proven theory and it's not outdated we still use it.weirdoguy said:Wave-particle duality is an outdated concept, so don't bother too much with that.
Ddddx said:I don't know why people keep saying wave-particle duality is outdated.