Grassmann Variables, Supersymmetry and Supersymmetric ...

Fermionic Path Integral
SUSY
References
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Supersymmetric harmonic oscillator
Supersymmetry
Supersymmetric harmonic oscillator
2. Harmonic fermionic oscillator.
Fermionic creation-annihilation operators: f † , f obey the
anticommutation relations:
{f , f † } = 1; {f , f } = 0; {f † , f † } = 0
Hamiltonian of the fermionic oscillator can be constructed by the
analogy with the bosonic hamiltonian, as:
HF = 1
2 ωF [f † , f ] = 1
2 ωF (f † f − ff † )
Hamiltonian of the fermionic oscillator can be presented as:
HF = ωF (NF − 1
2 ) = ωF NF − E0
where E0 = − 1
2 �ωF is energy of the ground state (vacuum energy).
Anna Pachol GV,SUSY ans SHO