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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 />

<strong>Supersymmetric</strong> harmonic oscillator (2).<br />

Bosonic <strong>and</strong> fermionic hamiltonian together has additional<br />

symmetry (i.e.supersymmetry) which mix bosonic <strong>and</strong> fermionic<br />

degrees of freedom.<br />

Generators of the symmetry (nB � nB ∓ 1; nF � nF ± 1)<br />

responsible for the degeneracy are supersymmetry generators:<br />

Q− = √ 2ωb † f ; Q+ = √ 2ωbf †<br />

Anna Pachol GV,SUSY ans SHO

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