Grassmann Variables, Supersymmetry and Supersymmetric ...

Fermionic Path Integral
SUSY
References
The end
Supersymmetric harmonic oscillator
Supersymmetry
Supersymmetric harmonic oscillator
Harmonic fermionic oscillator (2).
Operators f † , f act on a state |nF >, and the energy spectrum of
the fermionic oscillator can be calculated using of the
anticommutation relations:
EF = ωF (nF − 1
2 )
where nF = 0, 1 (Pauli principle, due to {f † , f † } = 0 there exist
only vacuum state |0 > and |1 >= f † |0 >, because (f † ) 2 = 0 ),
and nF are the eigenvalues of the fermionic number operator
NF = f † f .
And fermionic harmonic oscillator is built only from two states |0 >
and |1 > with energy E0 = − 1
2 �ωF and E1 = 1
2 �ωF
Anna Pachol GV,SUSY ans SHO