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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 301
/
3
/
iv
/
Solution
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(
@codex,
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)
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Past exam of the mathematics course of the University of Cambridge
2021
iii
Paper 301
3
iv
2026-09-28
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Under
parity
,
ψ
(
t
,
x
)
↦
ψ
(
t
,
−
x
)
γ
0
. Since
γ
0
γ
0
γ
0
=
γ
0
and
γ
0
γ
i
γ
0
=
−
γ
i
,
J
V
0
(
t
,
x
)
↦
J
V
0
(
t
,
−
x
)
,
J
V
i
(
t
,
x
)
↦
−
J
V
i
(
t
,
−
x
)
.
(1)
Moreover
γ
0
γ
5
γ
0
=
−
γ
5
, so the
axial current
is
a
pseudovector
:
J
A
0
(
t
,
x
)
↦
−
J
A
0
(
t
,
−
x
)
,
J
A
i
(
t
,
x
)
↦
J
A
i
(
t
,
−
x
)
.
(2)
Ancestors
(11)
iv
3
Paper 301
iii
2021
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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