Subject: paradoxical relation between the ease of flipping and coefficient A

when talking about base state and excited state in quantum theory, it has been 
said that " the easier the flipping back and forth between the two states, the 
higher the coefficient A and thus higher the energy separation between the two 
states". i find this paradoxical.(i thought easier the flipping, lower the 
energy required to make the transition from one state to the other). I am 
referring this information from volume 3 of "Feynmann lectures of physics " in 
the chapter" other two state systems " from the paragaph " the benzene 
molecule ". Could you please explain this.(It looks paradoxical to me. Maybe i 
haven't understood it correctly!). Thank you.

Re: paradoxical relation between the ease of flipping and coefficient A