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## Main Question or Discussion Point

I'm trying to apply BRA KET notation to my notes on particle physics.

please could someone confirm that the kroneker delta function may be written

[tex]\delta _{ij} = \left \langle i |j \right \rangle[/tex]

OR would it be written

δ

I know i and j are indices, so can BRA KET even be used?

Also if you have the Levi-Civita Tensor ε

In particular take this identity:

[tex]\varepsilon _{ijk} \varepsilon _{ilm} = \delta _{jl} \delta _{km} - \delta _{jm} \delta _{kl}[/tex]

how would this be written in BRA KET, or am I mixing things up? it would be nice if at all possible to use BRA KET in my particle as I found using it very useful in last semesters quantum!

thanks for any ideas / guidance!

please could someone confirm that the kroneker delta function may be written

[tex]\delta _{ij} = \left \langle i |j \right \rangle[/tex]

OR would it be written

δ

_{ij}= |i> <j|I know i and j are indices, so can BRA KET even be used?

Also if you have the Levi-Civita Tensor ε

_{ijk}is it possible to write this in BRA KET form?In particular take this identity:

[tex]\varepsilon _{ijk} \varepsilon _{ilm} = \delta _{jl} \delta _{km} - \delta _{jm} \delta _{kl}[/tex]

how would this be written in BRA KET, or am I mixing things up? it would be nice if at all possible to use BRA KET in my particle as I found using it very useful in last semesters quantum!

thanks for any ideas / guidance!