F3006 formulas final
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Transcript of F3006 formulas final
ss —Draft— THX 1138
s
x′ = x− ut√1− u2/c2
t′ = t− (u/c2)x√1− u2/c2
v′x = vx − u1− vxu/c2 v′y =
vy
√1− u/c2
1− vxu/c2 ∆t′ = uL/c2√1− u2/c2
K = mc2√1− v2/c2
−mc2
p = mv√1− v2/c2
E =√
(pc)2 + (mc2)2 nλ = 2d sin θ
vn = kze22πh
1n
En = −13,6n2 rn = ε0n
2h2
πme2ZE = hf = hc
λφ = hf −KE
L = n~ e/me = 1,7588× 1011[C
Kg
]λ′ − λ0 = h
mec(1− cos θ) R = 1,097× 107m−1 a0 = 0,529A◦ E = hf
ehf/kBT − 1h
mec= 0,024A◦ p2
e = p′2 + p2 − 2pp′ cos θ Ee = hf − hf ′ +mec2 p2
e =(hf ′
c
)2+(hf
c
)2− 2h2ff ′
c2 cos θ
p′ sin θ = pe sinφ f0 = φ
heVs = hc
λ− φ 1 eV = 1,602× 10−19J h = 6,62× 10−34J · seg e = 1,602 · 10−19
N = U
~ωΦ = P
~ωφ = I
~ω
kB = 1,38065 · 10−23J/K me = 9,10938 · 10−31 pdav =√
2meqe |∆V | λ = h
mv
nλ = 2πr hν = − me4
8ε20h2
[1n2 −
1m2
]µ0 = 4π × 10−7N/A2 σ = 5,67× 10−8W/m2K4 u = 931,49MeV/c2 µB = 9,274× 10−24J/T NA = 6,022× 1023mol−1
mp = 1,673× 10−27kg ε0 = 8,854× 10−12C2/N ·m2 ~ = 6,582× 10−16eV · s 1eV = 1,602× 10−19J
|S| =√s(s+ 1)~ E = π2~2
2mL2 {n21 + n2
2 + n23} ∆` = ±1
k = p
~∆E∆t ≥ ~
2
∆px∆x ≥ ~2 λmaxT = 2,898× 10−3m ·K λmin = hc
eV...
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