GNU Collaborative International Dictionary of English

Found one definition

1.       
   Mesmerize (?), v. t. [imp. & p. p. Mesmerized (?); p. pr. & vb. n. Mesmerizing (?).] [Also spelled mesmerise.]
   1. To bring into a state of mesmeric sleep; to hypnotize.
   
   [1913 Webster]
   
   
   2. To produce an intense fascination in; to spellbind.
   
   [PJC]