derivation of Planck distribution for photon

timer Asked: Dec 9th, 2017
account_balance_wallet $25

Question description

see attachment it is about derivation of Planck distribution for photon and then derive in term of wavelength and then determine the wavelength in term of T. i can send to u my lecture note and see what we did

derivation of Planck distribution for photon

Tutor Answer

School: Carnegie Mellon University

Sorry about the holdup; the equations were a little messy to type up. Here's the final copy.

Planck Distribution
December 9, 2017

Frequency Derivation
We derive Planck’s law by counting how many photons there are at each energy
state, multiplying that by the energy, and then taking the sum over all possible
energy states.

Where n(E) is the average number of photons with a given energy, g() is the
number of photons with energies between E and E + dE. In the infinitesimal
limit, this becomes
Z ∞
n(E)g(E) dE

First, since the photon is spin-1, there are two possible spins for every
position-momentum combination, so gi = 2. Next, the photon is a boson with
chemical potential µ = 0, so s...

flag Report DMCA

Outstanding Job!!!!

Similar Questions
Hot Questions
Related Tags

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors