Define your own new system of units in which the mass of
the particle, the square of the charge on the electron (either, 
or 
if you are an mks fan) and Planck's constant
all have the value 1 so that in your new units, Eq. (1)
reads
( Note: the ``R'' in this expression is just distance measured in your new units. It has nothing to do with the ``R'' on PS6.)
Give expressions for your
unit of mass, length and time in terms of e, 
and m.
Evaluate numerically your unit energy, distance and mass in
terms the of electron Volt, the Angstroms and the mass of the electron,
respectively.
Background: The system of units you have just defined is known as ``Atomic Units''. The unit energy is called the ``Hartree'' and the unit distance is called the ``Bohr''.