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Light arrow the "size" of a photon is approximately the wavelength multiplied by the reciprocal of the fractional bandwidth of the frequency of the photon over which the observation is made. Say for example I was observing radio signals at 100Mhz, this is around the frequency of FM radio, the wavelength is around 3 metres and, if I observed the signal with a receiver with a bandwidth of 10MHz, that is one tenth of the frequency. The receiver therefore needs about ten waves to respond. So the "size" of the photons being observed is about ten wavelengths, that is, around thirty metres.
All this stuff about wave lengths is fascinating, and brings up memories of tuning or 'trimming' antennae for enhanced reception for specific wave lengths. As I recall, you could have full wave length antennae, 1/2 wave, 1/4 wave etc.In the context we are now discussing this is very weird. Specifically, either the antenna could absorb a single photon or it could not. If it required more then one photon to complete 'the wave length' how were they stored up?I have a guess. My guess is that individual radio frequency photons can be absorbed entirely by antennae of various lengths, but the output of the antenna is largely a function of the RESONANT effect between the frequency of the photon and the natural frequency of the antenna.Any thoughts on this.......
Lightarrow and Soul Surfer,I think you're both right, from different points of view. What we classically consider frequency is the number of oscillations per second of a classical monochromatic electromagnetic wave that pass a given point.A photon has a frequency that determines its energy from E=hf, where E is energy, h is Planck's constant, and f is frequency. In addition to determining the energy, this frequency appears in the description of the photon according to quantum electrodynamics. The mathematics of a photon look similar to the mathematics of a quantum harmonic oscillator, where the photon has a frequency just like a harmonic oscillator has a frequency. However, the photon is not modeled by a nice classical wave that oscillates a certain of number of times per second.
The two types of frequency are related to each other, however. If you add up photons of a given frequency in the right way (called a coherent state) they should sum up to give what looks like a classical wave with that frequency, although this wave will have quantum noise present. A classical wave has high enough amplitude that the quantum noise is negligible and the classical model holds.Read this for an overview: http://en.wikipedia.org/wiki/Coherent_state The first figure on the right demonstrates how a collection of photons can form a classical wave.
Exactly, infact it's modeled by *nothing*.
Quote from: lightarrow on 11/01/2010 22:44:28Exactly, infact it's modeled by *nothing*.Lightarrow - are you saying there is no model of a photon? I'm not sure I understood your point. Thanks, G
Quote from: Geezer on 12/01/2010 04:19:30Quote from: lightarrow on 11/01/2010 22:44:28Exactly, infact it's modeled by *nothing*.Lightarrow - are you saying there is no model of a photon? I'm not sure I understood your point. Thanks, GExactly.
Lightarrow, I think I see what you're getting at, but I don't really agree with your statement that a photon is modeled by "nothing." There is a perfectly good model for photons via quantum electrodynamics (as a Fock state containing 1 photon). They certainly aren't simple particles zipping between sources and detectors, and the position representation of the photon isn't clear to me (I've browsed over some books that do define it, or make approximations so that a photon can be treated over space, but I'm not well-versed in these techniques). However, photons can be modeled and the models appear to be extremely accurate.