# Dual "wave-particle' property of electrons

by loup
Tags: dual waveparticle, electrons, property
 P: 36 I know that electrons get a dual 'wave-particle' property. I wonder if the velocity of the electrons is different, is that the diffraction pattern in the experiment proving that electrons get wave property differ? Also, is that electron gets a definite wave length and frequency? Is the wave moves with light speed? Also, does quark also get dual' wave-particle' property of electrons?
 P: 235 In quantum physics, the dynamics of all particles are described by a wave function. The wavelength of any particle can be found by the de Broglie equation: λ = h/p If you change the velocity, you change the momentum (denoted as p above). This will change the wavelength, and therefore change the diffraction pattern accordingly.
 P: 36 Gendou 2 is right. I miss that point. Is that if we can stop an electron moving, it gets no wave property? Am I still wondering my other questions' answers/
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Thanks
PF Gold
P: 26,127

## Dual "wave-particle' property of electrons

Hi loup!
 Quote by loup Is the wave moves with light speed? Also, does quark also get dual' wave-particle' property of electrons?
The electron is like a bump on a wave … the bump moves at a different speed from the wave. The wave moves faster than light, but that doesn't contradict causality, because the wave itself is uniform, and so carries no information.

If the speed of the electron is v, then the speed of the bump is v, and the speed of the wave is c2/v (so the product of the speeds is c2).

All elementary particles, including the quark, have wave-particle duality.
 I wonder if the velocity of the electrons is different, is that the diffraction pattern in the experiment proving that electrons get wave property differ? Also, is that electron gets a definite wave length and frequency?
The wavelength of a particle depends on its frequency. Different wavelengths have different frequencies: frequency = v/λ = p/mλ.
 P: 24 Just a small(ish) point - it might be OK to think about the electron "surfing" the waveform, but that's a little like the model of the atom that looks like planets revolving around the sun, but smaller. It might do for now - but "wave-particle" duality is much deeper than this. It involves all sorts of philosophical questions.
 Mentor P: 11,050 I think what tiny-tim calls a "bump on a wave" is what people usually call a "wave packet." The "bump" is a local maximum in the amplitude of the wave. The speed of the packet (group velocity) is different from the speed of the underlying wave (phase velocity). The group velocity corresponds to the particle velocity. Attached Thumbnails
 Sci Advisor HW Helper Thanks PF Gold P: 26,127 bump!
 P: 24 "bump on a wave" = wave packet. Obviously... I happen to agree with Jim Baugh's description of state and sticking to a probabilistic view of the world. I happen to be of that generation of physicists who were taught Copenhagen as fact, and find it disturbing that the so many now have what I believe is a confused view of QM. Many postings to this forum are clearly from those who would disagree with Jim! However to suggest that there are no philosophical issues is just wrong. Bohr and Heisenberg spent many hours arguing over them. Feynman said QM is disturbing - and he wasn't just talking about integrals! I believe that it is a great failing in education that QM philospohical issues are not given the place they deserve. What seems to happen is someone makes up their mind (as Jim has) and then anything else is dismissed. It allows quake-pottery to perist. I'm afraid that, like biologists who need to convince each new generation that Evolution is fact, each new generation of physicist needs to be convinced of Copenhagen. And Copenhagen is far more subtle than just wave-particle duality. How can Physics advance without philosophy? Einstein's brilliance in part was that he did think philosophically. Perhaps Jim does not believe in Copenhagen, just mathematical models? These days, I work in an investment bank. I don't trust models without understanding the assumptions that went into them. Neither should anyone else.
Mentor
P: 11,050
 Quote by shaun_o_kane Perhaps Jim does not believe in Copenhagen, just mathematical models?
It's not a black and white choice between the Copenhagen interpretation and "just mathematical models." There are other interpretations of QM besides Copenhagen. Around here, being dogmatic about interpretations is a great way to start an argument.

(I'm an agnostic, myself.)
 P: 36 ................................ Actually, where do the answers of my questions go? I partly understand what you are talking about. So subtle. What we can do in Physics is only to find in what way it influences other things, am I right? That's why we have to give up the thought of what it is. Maybe there is a machine in invest in what an eletron is, what we can find is only in what way the electron is influencing the machine? So confused, I clearly understand a little bit of quantum Physics, I need to learn more about it.
 Sci Advisor PF Gold P: 1,767 Let me clarify a point about my views. I accept the Copenhagen "interpretation". I believe that the semantic definition of "interpretation" for a scientific theory is how the formal language translates to operational actions in the lab. In short what the theory predicts is it's interpretation. For quantum theory the interpretation is the Born probability formula along with the various mappings between operators, bras, and kets, and the physical devices in the laboratory to which they correspond. (Note that the mode vector for e.g. a vertically polarized photon refers not to the photon but to a source of vertically polarized photons. Calling it a mode vector rather than state vector emphasizes that it refers to the mode of preparation and not the photon itself.) This with Occam's razor dictates the Copenhagen interpretation since "underlying reality" beyond the outcomes of experiments is operationally meaningless. Other attempts to "interpret" are attempts to re-interpret in classical objective terms what is fundamentally non-classical and non-objective. From this perspective then any description of reality is "only a model" and thus so too are the various "interpretations" of QM. They should IMNSHO be refered to as "Many-Worlds Model", "Bhom Pilot Wave Model" etc. I don't want to rehash old arguments here, just respond to statements about my position. If anyone wants to discuss this further I'm game... we can start a new thread.
P: 2,456
 Quote by jambaugh This with Occam's razor dictates the Copenhagen interpretation since "underlying reality" beyond the outcomes of experiments is operationally meaningless.
Shouldnt Occam's razor also dectate to get rid of the mysterious 'collapse' when there is a consistent theory which does not include a 'collapse' at all?

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