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Physics
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Quantum Theory
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Action Integral
Action Integral
The action integral,
S
=
∫
t
1
t
2
e
x
t
L
(
x
,
x
˙
,
t
)
d
t
S = \int_{t_1}^{t_2} ext{L}(x, \dot{x}, t) dt
S
=
∫
t
1
t
2
e
x
t
L
(
x
,
x
˙
,
t
)
d
t
, represents the time integral of the Lagrangian, central to the path integral.