Source : Webster's Revised Unabridged Dictionary (1913)

Mesmerize \Mes"mer*ize\, v. t. [imp. & p. p. {Mesmerized}; p.
   pr. & vb. n. {Mesmerizing}.]
   To bring into a state of mesmeric sleep.

Source : WordNet®

mesmerize
     v 1: attract strongly, as if with a magnet; "She magnetized the
          audience with her tricks" [syn: {magnetize}, {mesmerise},
           {magnetise}, {bewitch}, {spellbind}]
     2: induce hypnosis in [syn: {hypnotize}, {hypnotise}, {mesmerise}]