Case of Symmetric Mode Coupling Potential

Let us next consider the symmetric mode coupling (SMC) potential. The Hamiltonian is given by 

FIGURE 4.1 Contours of the symmetric mode coupling potential [Equation (4.15)] for the parameters (Oy, a) = (0.5, 1.0). The interval of contour is 0.02 and the contours with the energy higher than 0.28 are omitted. (Taken from Reference [31] with permission.) 

Tunnel Splitting in the Symmetric Mode Coupling Potential Equation (4.15) Calculated Quantum Mechanically Numerically for Several Vibrationally Excited States. Parameter g Is Taken to be 0.04 

FIGURE 4.3 Tunneling paths for several vibrationally excited states in the case of the V-parabola model [Equation (4.16)]. Parameters are chosen to be ( Wj, 0, g) = (0.42, 30°, 0.04). (n , ris) specifies the vibrational quantum numbers of I and s modes. (Taken from Reference [31] with permission.) 

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