Exercise List #3
Classical Field Theory
October 28, 2009
1. Prove the following facts regarding the Levi-Civita symbol.
•
abc
cde
= δ
a
d
δ
b
e
− δ
a
e
δ
b
d
,
•
abcd
= −
abcd
,
•
abcd
→
abcd
0
=
abcd
under Lorentz transformation.
Exercise List #3
Classical Field Theory
October 28, 2009
1. Prove the following facts regarding the Levi-Civita symbol.
•
abc
cde
= δ
a
d
δ
b
e
− δ
a
e
δ
b
d
,
•
abcd
= −
abcd
,
•
abcd
→
abcd
0
=
abcd
under Lorentz transformation.