Point symmetry group matrix representations

torehan
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Is there any book or source avaliable that clearly shows the point symmetry operation with matrix representations?
 
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Point group symmetry : Applications
Methods and tables

Philip Butler
Plenum Press (1981)
 
Thanks for your advice but can't find any printed or electronic version.

Is there any alternative?
 
You can find some relevant information in :
Group theory and its application to physical problems
Par Morton Hamermesh

The last update :

The Mathematical Theory of Symmetry in Solids: Representation Theory for point groups and space groups
by Christopher Bradley,Arthur Cracknell
 
I recommend Matveev, Mayer, Roesch, ``Efficient symmetry treatment for the nonrelativistic and relativistic molecular Kohn-Sham problem.'', Comp. Phys. Comm 160 91 (2004), http://dx.doi.org/10.1016/j.cpc.2004.02.013 . They give a general, yet concise and very elegant approach to evaluating matrix representations and irreducible representations of arbitrary point groups.
 
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Thanks for the posts.
Theese are actually what I need.
 
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The lesser Green's function is defined as: $$G^{<}(t,t')=i\langle C_{\nu}^{\dagger}(t')C_{\nu}(t)\rangle=i\bra{n}C_{\nu}^{\dagger}(t')C_{\nu}(t)\ket{n}$$ where ##\ket{n}## is the many particle ground state. $$G^{<}(t,t')=i\bra{n}e^{iHt'}C_{\nu}^{\dagger}(0)e^{-iHt'}e^{iHt}C_{\nu}(0)e^{-iHt}\ket{n}$$ First consider the case t <t' Define, $$\ket{\alpha}=e^{-iH(t'-t)}C_{\nu}(0)e^{-iHt}\ket{n}$$ $$\ket{\beta}=C_{\nu}(0)e^{-iHt'}\ket{n}$$ $$G^{<}(t,t')=i\bra{\beta}\ket{\alpha}$$ ##\ket{\alpha}##...
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