Photon Number, Energy, and Wavelength

Q:
Why the number of the photons decreases when its energy increases ?
Egypt
A:

Your premise about the number of photons and energy is not quite correct.  The relation that we now believe to be correct is that the wavelength of the photon decreases as the energy of the photon increases.   They are related by  λ = hc/ Ephoton where h is Plank's constant, c is the velocity of light and λ is the wavelength of the photon.
In a given packet of photons the total energy is proportional to the number of photons.

LeeH

(published on 05/06/2012)

Follow-Up #1: More on energy and photon number.

Q:
Firstly, Thanks for answering me so fast. The total energy of photons is what I meant. I read in a book the following paragraph and there was no explanation: "The emission is a great flood of photons, their energy increases when their frequency increases. But their number decreases when the energy increases" Is it incorrect ?
Egypt
A:

The first statement is correct.   The only way the second statement is correct is if the writer implied that "For a constant amount of total energy,  the number of photons would decrease as the frequency increases".  Otherwise it's wrong as explained in the previous post.

LeeH

(published on 05/07/2012)

Follow-Up #2: why is photon energy hf?

Q:
why number of photon is greater in red light than in blue light,assuming their energies equal?please tell me theoritical reason .thanks
- hajra naeem (age 18)
A:

The number of photons is just the energy divided by the energy per photon. So why is the energy E of a photon proportional to its frequency, f,: E=hf? That's a deep question.

It leads straight to a deeper question: the energy of anything is just hf where h is Planck's constant and f is the frequency at which the quantum state changes phase. Like some very deep questions, the answer is almost trivial. If E=hf, always, then E and f are just the same thing, expressed in different units. Planck's constant is just the conversion factor from conventional frequency units to conventional energy units.

Now we get to the real physics. Why is the quantum f from that universal definition, E-hf, the same as the frequency you get from measuring the oscillation of the electric field in a wave made of photons? This is subtle. The electric field for any single photon has an expected value of zero. Electric field oscillations come from beats between states with different numbers of photons, differing by one. So the beat frequencies are just f, the single-photon quantum frequency. Really, we don't expect that this short last argument should be very clear. Usually it isn't learned until one takes a graduate quantum mechanics course.

Mike W.

(published on 02/12/2015)

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