  For a finite dimensional symplectic manifold $(M,\omega)$ with a symplectic
form $\omega$, corresponding loop space ($LM=C^\infty(S^1,M)$) admits a weak
symplectic form $\Omega^\omega$. We prove that the loop space over $\mbr^n$
admits Darboux chart for the weak symplectic structure $\Omega^\omega$.
Further, we show that inclusion map from the symplectic cohomology (as defined
by Kriegl and Michor \cite{KM}) of the loop space over $\mathbb R^n$ to the De
Rham cohomology of the loop space is an isomorphism.
