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Richard Clark wrote:
On Sat, 10 Mar 2007 09:33:46 +0000, Ian White GM3SEK wrote: Quantum theory describes electromagnetic energy as being divided into a series of packets called photons, so (total energy in a stream of photons) = (number of photons/second) x (energy of individual photons). Energy is not expressed with a time in the denominator. The standard quantum theory expression for energy is eV - time is wholly absent as it should be. Sorry, that was an editing mistake: obviously it's power that includes the time dimension, energy does not. This also means that EM energy doesn't exist in pure sine-waves EM theory does not exclude the classic description of pure sine waves. This is not a neither/nor situation. - the waveform is actually built up in steps, very much like digitized audio. This appears to be the beginnings of a description about to fall off the edge. What waveform? This is a conceit of time. The step size is the energy content of one quantum. No, the step size as you describe is the potential difference of quantization, an engineering term, not a quantum mechanics term. It is quantisizing an amplitude to construct the wave in a time domain. Quanta is the complete wave in a frequency domain. Richard is right about that. Please ignore my remarks about quantization within the waveform itself. The quantization only affects the total quantity of energy; or the power level if you wish to consider the rate of energy transfer. However, that doesn't affect the main point: at normal radio frequencies, RF energy is composed of unimaginably small packets, in unimaginably large numbers. This means that quantization effects in energy or power levels are utterly negligible, and we can always think of RF energy or power as a continuous stream. It's rather similar to being aware that electric current is actually made up of individual electrons - it's interesting information, but electronic engineering very rarely needs to acknowledge the existence of individual electrons. Even less does antenna engineering need to acknowledge the existence of individual RF photons. As I said in the previous posting, the energy of EM photons is proportional to the frequency, so quantization effects only begin to be noticeable at frequencies of hundreds of gigahertz, and still only as a small correction in measurements of the very lowest power levels we can detect. Richard cited the following as a claimed exception: A photon is emitted in the cM band when an electron orbiting a Hydrogen atom flips its magnetic pole. This event is vastly below the short wavelengths you describe by a million-fold. A good number of correspondents here are fully capable of detecting this event with commercial gear already suitable for the Ham market. They could have done it 50 years ago too. That is an example of a quantum effect determining the *frequency* of an RF emission... but the origin of the RF energy doesn't change its character. If a signal generator is tuned to that frequency, it will produce exactly the same kind of RF energy - a torrent of quanta so tiny that their individual existence is irrelevant. -- 73 from Ian GM3SEK 'In Practice' columnist for RadCom (RSGB) http://www.ifwtech.co.uk/g3sek |
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