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Gauss's Law
Φ
E
=
Q
ε
0
\Phi_E = \frac{Q}{\varepsilon_0}
Φ
E
=
ε
0
Q
Schrödinger Equation (Time-Dependent)
i
ℏ
d
d
t
∣
Ψ
⟩
=
H
^
∣
Ψ
⟩
{\displaystyle i\hbar {\frac {d}{dt}}|\Psi \rangle ={\hat {H}}|\Psi \rangle }
i
ℏ
d
t
d
∣Ψ
⟩
=
H
^
∣Ψ
⟩
Fourier Transform
c
n
=
1
P
∫
−
P
/
2
P
/
2
f
(
x
)
e
−
i
2
π
n
P
x
d
x
.
{\displaystyle c_{n}={\tfrac {1}{P}}\int _{-P/2}^{P/2}f(x)\,e^{-i2\pi {\frac {n}{P}}x}\,dx.}
c
n
=
P
1
∫
−
P
/2
P
/2
f
(
x
)
e
−
i
2
π
P
n
x
d
x
.