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But what does it mean for a particle to have a frequency, something that I'd associate with a wave. And what can you think Planck's constant is representing?

Any replies would be much appreciated, thanks.

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- Thread starter Daniel Wqw
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In summary: Essentially, what this means is that light can be described as both a wave and a particle, but it is neither in the traditional sense. Planck's constant represents the relationship between the frequency of the associated wave and the energy of the particle. In summary, light is described as a quantum field with properties that are reminiscent of both waves and particles, and Planck's constant represents the relationship between the frequency and energy of light.

- #1

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But what does it mean for a particle to have a frequency, something that I'd associate with a wave. And what can you think Planck's constant is representing?

Any replies would be much appreciated, thanks.

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If the light is reasonably bright, we never notice this lumpy behavior. There are so many photons that we end up with a uniform even distribution, just as a pouring rainstorm will uniformly wet everything even though the water is delivered in individual drops. (Warning - I have just pushed this raindrops analogy as far it goes. Light is not a stream of photons the way a rainstorm is a stream of raindrops - it just happens to interact with matter sort of that way).

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For later reference: This picture becomes less correct as one goes to many particles, but even then we can associate a wave with each particle. You don't have to understand that at the moment, but for reference this is the idea that the state of the whole system is a tensor product of the single particle states, and the wave can be taken in the position basis. Even in quantum field theory, we can take the wave-particle duality to be the particles of the Fock space, and the wave as the equation of motion of the field observable.

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Daniel Wqw said:

But what does it mean for a particle to have a frequency, something that I'd associate with a wave. And what can you think Planck's constant is representing?

Any replies would be much appreciated, thanks.

Operationally, if you have a source of monochromatic light--blue light or whatever--then that light will have a certain characteristic frequency. When you measure the energy of photons coming from such a source, they will be found to have the corresponding energy.

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Thankyou very much.Nugatory said:

If the light is reasonably bright, we never notice this lumpy behavior. There are so many photons that we end up with a uniform even distribution, just as a pouring rainstorm will uniformly wet everything even though the water is delivered in individual drops. (Warning - I have just pushed this raindrops analogy as far it goes. Light is not a stream of photons the way a rainstorm is a stream of raindrops - it just happens to interact with matter sort of that way).

However I have to say that I'm still confused about the fact that in order for the E=hf equation to work you have to assume light is a stream of particles however you also assume light is a wave for you to measure the frequency. And what do you mean by light isn't a stream of particles in the sense that raindrops are a stream of particles?

Thanks.

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That's very interesting, thanks. Although I have to admit I don't totally follow you. I haven't really learned quantum physics in depth yet as I'm only at A-Level level (high school). But it's clarifying in a really paradoxical way because I thought there was something really obvious I'm missing but now I see there's a lot more to it than what I've been learning about which is probably really superficial.atyy said:

For later reference: This picture becomes less correct as one goes to many particles, but even then we can associate a wave with each particle. You don't have to understand that at the moment, but for reference this is the idea that the state of the whole system is a tensor product of the single particle states, and the wave can be taken in the position basis. Even in quantum field theory, we can take the wave-particle duality to be the particles of the Fock space, and the wave as the equation of motion of the field observable.

If you wouldn't mind just one more question: is Planck's constant just something that makes the equation work or is it something deeper than that?

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You don't have to assume that it is a stream of particles. Think about it as a wave that delivers its energy to its target in an odd and surprising way.Daniel Wqw said:Thankyou very much.

However I have to say that I'm still confused about the fact that in order for the E=hf equation to work you have to assume light is a stream of particles however you also assume light is a wave for you to measure the frequency.

I mean exactly that. When people first hear that photons are "particles" of light, the mental image that forms is a little tiny bullet (if it's moving fast) or grain of sand (not moving so fast) or other small object traveling through space. That picture is hopelessly misleading, as a photon has neither a position nor a path except at the moment that it interacts with something else.And what do you mean by light isn't a stream of particles in the sense that raindrops are a stream of particles?

Thanks.

If you can get hold of Richard Feynman's book "QED: The strange theory of light and matter", I highly recommend it... No advanced math required.

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Daniel Wqw said:is Planck's constant just something that makes the equation work or is it something deeper than that?

It's deeper than that, in the sense that it appears throughout quantum mechanics, in many more places than just the frequency/energy relationship for light.

It's also "just something that makes the equations work", in the sense that its value is determined by experiment. However, that's true of a lot of important constants. For example, you are probably familiar with Newton's gravitation law ##F=Gm_1m_2/r^2##; but did you notice that ##G## is "just" the number that makes this equation work?

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Wow I feel brainwashed. I've always thought of the photons as particles in the sense of a bullet. I've even seen documentaries talking about photons with animations of yellow spheres gliding through the air. To be honest I'm doubtful of the truth of most of the things I'm learning in my A-Level quantum physics course because it all seems so oversimplified and shallow. I think I should wait for Physics at University for the accurate picture. Or in the meantime read QED :)Nugatory said:You don't have to assume that it is a stream of particles. Think about it as a wave that delivers its energy to its target in an odd and surprising way.I mean exactly that. When people first hear that photons are "particles" of light, the mental image that forms is a little tiny bullet (if it's moving fast) or grain of sand (not moving so fast) or other small object traveling through space. That picture is hopelessly misleading, as a photon has neither a position nor a path except at the moment that it interacts with something else.

If you can get hold of Richard Feynman's book "QED: The strange theory of light and matter", I highly recommend it... No advanced math required.

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Daniel Wqw said:That's very interesting, thanks. Although I have to admit I don't totally follow you. I haven't really learned quantum physics in depth yet as I'm only at A-Level level (high school). But it's clarifying in a really paradoxical way because I thought there was something really obvious I'm missing but now I see there's a lot more to it than what I've been learning about which is probably really superficial.

Yes, what you are probbaly learning is "old quantum theory", which includes Planck's introduction of his constant for blackbody radiation, and Einstein's proposal of E=hf. These were not incorporated into a single coherent framework of quantum mechanics, which stands till this day, until 1927-1928 by Heisenberg, Schroedinger, Born and Dirac. In the new framework, there is no strict concept of "wave-particle duality", but one understands that it is still a good heuristic, even if not a strictly correct building block.

Daniel Wqw said:If you wouldn't mind just one more question: is Planck's constant just something that makes the equation work or is it something deeper than that?

Planck's constant is both something that just makes his equation work, but because it is a new universal constant, it is also deep. One way to see that is that it is needed to get quantities like the "Bohr radius" (again problematic formally, but very important in setting heuristically what we think the size of an atom is), and the "Planck length"

http://www.math.ucr.edu/home/baez/lengths.html

http://math.ucr.edu/home/baez/planck/node2.html

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You are in good company here :)Daniel Wqw said:Wow I feel brainwashed.

The problem is that quantum mechanics in general and Quantum Field Theory in particular don't map well onto our common sense (meaning "limited to experience with macroscopic objects") intuitions of how things behave. This makes it very difficult to explain without using the math, and there's enough math involved to make the topic basically inaccessible until a year or so into college.

Many intro-level non-mathematically oriented discussions of quantum mechanics (pretty much anything that talks about "wave particle duality", or Schrodinger's dead and alive cat, or particles going through two slits at the same time) are just sharing the puzzlement that physicists felt when they first started encountering quantum phenomena early in the 20th century.

Do both.I think I should wait for Physics at University for the accurate picture. Or in the meantime read QED :)

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The equation E=hf represents the relationship between the energy (E) and frequency (f) of a photon, which is a particle of light. It states that the energy of a photon is directly proportional to its frequency.

The equation E=hf is used to describe the dual nature of light, which exhibits characteristics of both particles and waves. The "E" in the equation represents the particle aspect of light, while the "f" represents the wave aspect.

Max Planck, a German physicist, is credited with the development of Planck's constant. He introduced this constant in 1900 as a fundamental constant in quantum mechanics.

Planck's constant has a value of 6.626 x 10^-34 joule seconds (J·s). It is a very small number, but it is a crucial constant in various physics equations, including E=hf.

Planck's constant is used in various fields of modern science, such as quantum mechanics, electromagnetism, and atomic and molecular physics. It helps in understanding the behavior of particles and waves at a microscopic level and has played a significant role in the development of technologies such as lasers and LED lights.

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