433
and 222.9 (β = 3.0). Consequently, I have calculated the thermal photons in terms of
photonic spectra for both negative and positive indexes:
n
C
D
m
m
∈
( ) = ∈<∈
=
∈<∈<∈
=
∈>∈
∈
−
∈
0
0
0
0
,
,
,
α
β
or
(21.47)
I then obtained
d
dx
r C
m c
E
E E
F
F
m
m
τ
π
σ
α
α
α
α
abs
=
×
<
( )− ( )
−
0
2
2 4 1
0
1
,
,
, ,
,
,
,
E
E E
F
F
E E
m
m
< <
( )− ( )
>
0
0
0
α
α
σ
σ
(21.48)
d
dx
r D
m c
E
E E
F
E
E
m
m
τ
π
σ
β
β
β
abs
m
=
×
<
( )
< <
+
0
2
2 4 1
0,
,
,
E E
F
F
E E
0
0
0
,
,
.
β
β
σ
σ
m
( )− ( )
>
(21.49)
In these functional variables, the heating photon spectra on the earth surface
plane can be properly defined by asymptotic formula. The term Γ γ
LPM defines the
photonic obligation to the irradiated light per unit area [53, 58, 59]:
Γ γ
γ
≡
dn
dVdt
.
(21.50)
Adding all the contributions Γ γ
LPM , the rate of thermal photon production is confirmed as O(α EM α s ). Here, it has been calculated by the following equation for the
polarized emitted rate Γ γ
LPM at the thermodynamically controlled equilibrium of the
plasma surface at temperature T and photo-physical reaction μ:
d
d k
d q
k
dp d p A p k
p f p
Γ γ
α
π
π
π
LPM
F s EM
,
;
3
2
2
2
2
4
2
2
2
=
∫ ( )
( )
−∞
∞
⊥
⊥
⊥
∫
Re
•
,
, ;,
p k
(
)
{
} , (21.51)
where d F presents the variable strategy of the photon particles [N c in SU(N c )], q s
presents the albanian charge of the photonic quark k ≡ |k|, and the kinetic functional
mode A(p || , k) is irradiated particles which are expressed by
Results and Discussion
and 222.9 (β = 3.0). Consequently, I have calculated the thermal photons in terms of
photonic spectra for both negative and positive indexes:
n
C
D
m
m
∈
( ) = ∈<∈
=
∈<∈<∈
=
∈>∈
∈
−
∈
0
0
0
0
,
,
,
α
β
or
(21.47)
I then obtained
d
dx
r C
m c
E
E E
F
F
m
m
τ
π
σ
α
α
α
α
abs
=
×
<
( )− ( )
−
0
2
2 4 1
0
1
,
,
, ,
,
,
,
E
E E
F
F
E E
m
m
< <
( )− ( )
>
0
0
0
α
α
σ
σ
(21.48)
d
dx
r D
m c
E
E E
F
E
E
m
m
τ
π
σ
β
β
β
abs
m
=
×
<
( )
< <
+
0
2
2 4 1
0,
,
,
E E
F
F
E E
0
0
0
,
,
.
β
β
σ
σ
m
( )− ( )
>
(21.49)
In these functional variables, the heating photon spectra on the earth surface
plane can be properly defined by asymptotic formula. The term Γ γ
LPM defines the
photonic obligation to the irradiated light per unit area [53, 58, 59]:
Γ γ
γ
≡
dn
dVdt
.
(21.50)
Adding all the contributions Γ γ
LPM , the rate of thermal photon production is confirmed as O(α EM α s ). Here, it has been calculated by the following equation for the
polarized emitted rate Γ γ
LPM at the thermodynamically controlled equilibrium of the
plasma surface at temperature T and photo-physical reaction μ:
d
d k
d q
k
dp d p A p k
p f p
Γ γ
α
π
π
π
LPM
F s EM
,
;
3
2
2
2
2
4
2
2
2
=
∫ ( )
( )
−∞
∞
⊥
⊥
⊥
∫
Re
•
,
, ;,
p k
(
)
{
} , (21.51)
where d F presents the variable strategy of the photon particles [N c in SU(N c )], q s
presents the albanian charge of the photonic quark k ≡ |k|, and the kinetic functional
mode A(p || , k) is irradiated particles which are expressed by
Results and Discussion