Please use MATLAB or Mathematica or Python code to solve this problem

4. BONUS (20 points): The ammonia inversion: Use mathematical software to graphically solve equations 14 and 15 on page 461 in Cohen-Tannoudji (provided on Canvas). Visualize the resulting spectrum of allowed energies and the corresponding wave-functions for different values of V0. Show that when V0 is very large the solutions approach the limit of two uncoupled infinite square wells. Finally, we must match the eigenfunctions and their derivatives at x=(ba/2). The even solution s(x) must therefore satisfy the conditions: Assin(ksa)=Bscosh[qs(b2a)]Askscos(ksa)=Bsqssinh[qs(b2a)] Since As and Bs cannot be zero simultaneously, we can take the ratio of equations (11) to obtain : tan(ksa)=qskscoth[qs(b2a)] For the odd solution a(x), we obtain in the same way: tan(kaa)=qakatanh[qa(b2a)] If qs and qa are replaced by their values in terms of ks and ka, relations (12) and (13) can be written : tan(ksa)=2ks2kscoth[2ks2(b2a)] and : tan(kaa)=2ka2katanh[2ka2(b2a)]