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Consider photons at temperature T= 300K in a cubic box of volume 1 m' with periodic boundary conditions. a) Find the total number of photons in the lowest orbital state. What is the total energy of these photons? he Hint: The 1-particle energy of photons is ɛ(k,s) = hck =, independent of polarization s. Consider the Bose-Einstein distribution function (with u =0) for the lowest-energy orbital states 27 k, =4 (1,0,0), k, = “ (0,1,0), k, =4(0,0,1). Find the total number of photons that occupy %3D L L these states, taking into account that each of the orbital states has 2 polarizations s. b) Find the number of photons in a single orbital state with wavelength 2= 5000 Å. What is the total energy of these photons?

Consider photons at temperature T= 300K in a cubic box of volume 1 m' with periodic boundary conditions. a) Find the total number of photons in the lowest orbital state. What is the total energy of these photons? he Hint: The 1-particle energy of photons is ɛ(k,s) = hck =, independent of polarization s. Consider the Bose-Einstein distribution function (with u =0) for the lowest-energy orbital states 27 k, =4 (1,0,0), k, = “ (0,1,0), k, =4(0,0,1). Find the total number of photons that occupy %3D L L these states, taking into account that each of the orbital states has 2 polarizations s. b) Find the number of photons in a single orbital state with wavelength 2= 5000 Å. What is the total energy of these photons?

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Consider photons at temperature T = 300K in a cubic box of volume 1 m' with periodic boundary conditions. a) Find the total number of photons in the lowest orbital state. What is the total energy of these photons? Hint: The 1-particle energy of photons is ɛ(k,s)=ħck = hc , independent of polarization s. Consider the Bose-Einstein distribution function (with u= 0) for the lowest-energy orbital states 2л k, = (1,0,0), k, =(0,1,0), k, =(0,0,1). Find the total number of photons that occupy L L L these states, taking into account that each of the orbital states has 2 polarizations s. b) Find the number of photons in a single orbital state with wavelength 2 = 5000 Å. What is the total energy of these photons?
Transcribed Image Text:Consider photons at temperature T = 300K in a cubic box of volume 1 m' with periodic boundary conditions. a) Find the total number of photons in the lowest orbital state. What is the total energy of these photons? Hint: The 1-particle energy of photons is ɛ(k,s)=ħck = hc , independent of polarization s. Consider the Bose-Einstein distribution function (with u= 0) for the lowest-energy orbital states 2л k, = (1,0,0), k, =(0,1,0), k, =(0,0,1). Find the total number of photons that occupy L L L these states, taking into account that each of the orbital states has 2 polarizations s. b) Find the number of photons in a single orbital state with wavelength 2 = 5000 Å. What is the total energy of these photons?
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