Write down the most general form for even wavefunctions in
this well consistent with 1) the Time Independent Schrödinger
Equation (TISE), 2) the symmetry of the ground state, and 3) the
boundary conditions at x=-R-a and x=R+a. Be sure to
specifiy your wavefunction in each of the regions I-V, and
give explicit formulae in terms of m, ,
, and
E for any wave vector constants (k's or
's) which you
introduce in your functions.