# A quantity from schrodinger

In a paper by schrodinger, he uses $$\Delta_p^\frac{1}{2}$$, and $$\Delta_p^{-\frac{1}{2}}$$ in a particular equation:

$$\Delta_p^\frac{1}{2} \sum_l \frac{\partial}{\partial q_l}\left(\Delta_p^{-\frac{1}{2}}\sum_k a_{lk} \frac{\partial \psi}{\partial q_k}\right)+\frac{8\pi^2}{h^2}(E-V)\psi = 0$$

which he says is "well known from Gibbs' statistical mechanics". Could anyone tell me what particular quantities are, and where I could possibly read more about them (without having to start at the beginning of statistical mechanics)?

Thanks

Physics Monkey
I believe $$\Delta_p = 1/|g|$$ (the determinant of the metric) and $$a_{i j} = g^{i j}$$ (the inverse metric) to convert between your notation and that of wikipedia. If you don't think this is what you want or if you're still confused give another shout.