Grassmann Variables, Supersymmetry and Supersymmetric ...
Grassmann Variables, Supersymmetry and Supersymmetric ...
Grassmann Variables, Supersymmetry and Supersymmetric ...
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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 />
3. <strong>Supersymmetric</strong> harmonic oscillator.<br />
For the composite system of the bosonic <strong>and</strong> fermionic oscillators,<br />
ω = ωB = ωF <strong>and</strong>:<br />
H = 1<br />
2 ω({b† , b} + [f † , f ]) = ω(NB + NF )<br />
with E = ω(nB + nF )<br />
This formula implies that all energy levels of the system are twice<br />
degenerate except for the ground state nB = nF = 0, characterised<br />
by zero energy E = 0.<br />
Anna Pachol GV,SUSY ans SHO
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