mesmerism

The method or power of gaining control over someone's personality or actions, as in hypnosis or suggestion.

What is the secret mesmerism which friendship possesses, and under the operation of which a person ordinarily sluggish, or cold, or timid, becomes wise, active, and resolute, in another's behalf?

The state induced by hypnotic methods (especially that of Mesmer himself).

...the fact stood proven that I had seen it in my vision. Lawks! ...When the magician's engagement closed there was but one person in the village who did not believe in mesmerism, and I was the one. All the others were converted, but I was to remain an implacable and unpersuadable disbeliever in mesmerism and hypnotism for close upon fifty years.