Case of Antisymmetric Mode Coupling Potential

The scaled Hamiltonian with the antisymmetric mode coupling (ASMC) potential is defined by 

Tunnel Splitting in the Antisymmetric Mode Coupling Potential Equation (4.18) Calculated Quantum Mechanically Numerically. Parameter g Is Equal to 0.04 

Finally, we touch upon the adiabatic and sudden approximations in the present model. In the same way as in the case of symmetric mode coupling model, the adiabatic approximation leads to the tunneling splitting independent of Hy. This does not exhibit any characteristic behavior discussed above and can never be reliable. If we apply the sudden approximation, we also encounter a problem since the potential curve in jc direction is not symmetric except when y is zero. Thus we cannot use Equation (4.12) directly anymore. 

---