Grassmann Variables, Supersymmetry and Supersymmetric ...
Grassmann Variables, Supersymmetry and Supersymmetric ...
Grassmann Variables, Supersymmetry and Supersymmetric ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Fermionic Path Integral<br />
SUSY<br />
References<br />
The end<br />
<strong>Supersymmetric</strong> harmonic oscillator<br />
<strong>Supersymmetry</strong><br />
<strong>Supersymmetric</strong> harmonic oscillator<br />
Harmonic fermionic oscillator (2).<br />
Operators f † , f act on a state |nF >, <strong>and</strong> the energy spectrum of<br />
the fermionic oscillator can be calculated using of the<br />
anticommutation relations:<br />
EF = ωF (nF − 1<br />
2 )<br />
where nF = 0, 1 (Pauli principle, due to {f † , f † } = 0 there exist<br />
only vacuum state |0 > <strong>and</strong> |1 >= f † |0 >, because (f † ) 2 = 0 ),<br />
<strong>and</strong> nF are the eigenvalues of the fermionic number operator<br />
NF = f † f .<br />
Anna Pachol GV,SUSY ans SHO