I dont understand the following surface measure,
My space is
$\Omega_E=\{w\in \Omega | H(w)=E\}$
My lecture notes state that my surface measure is given as
$\sigma_E(\Omega_E)=\partial_E(E^N/(N!))$.
Can anyone enlighten me please?
Edit: The Hamiltonaian is defined as
$H(w)=\sum w_i$
where
$w\in \Omega=\mathbb{R}^{+N}$
N is the particle number.
I still havent figured it out how to arrive at the given surface measure . : )