8.1.2 Derivation of Planck’s formula – om the wave
18.1.2 Derivation of Planck s formula from the wave
picture of EM radiation
he wave
article duality of EM radiation leads to two
The waveparticle duality of EM radiation leads to two
alternative statistical treatments of blackbody radiation.
On the wave picture, one considers the normal modes of
EM waves in a cavity, a problem similar to that of atomic
lattice vibrations in Debye model of the vibrational heat
capacity in Chapter 16.
This is the treatment used by
py
p
y
Planck
himself
to get his Eq. (18.3).
n the particle picture the black
ody radiation can be
On the particle picture, the blackbody radiation can be
treated as a photon gas, based on which
S. N. Bose
derived the Planck law in 1924.
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View Full Documenteviewing Chapter 15 and 16, we have the energy of a
Reviewing Chapter 15 and 16, we have the energy of a
single
linear harmonic oscillator with a frequency
is
(1/2 + j) h
012
the partition function for a
single
oscillator is
j
=(1/2 + j) h
,
j=0, 1, 2, …
(g
j
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 Winter '10
 Dr.asdas
 mechanics, Energy, Photon, Light, Radiation, WaveParticle Duality, em radiation

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