lull - calm by deception; "Don't let yourself be lulled into a false state of security"

compose - calm (someone, especially oneself); make quiet; "She had to compose herself before she could reply to this terrible insult"

appease, assuage, conciliate, gentle, gruntle, lenify, mollify, pacify, placate - cause to be more favorably inclined; gain the good will of; "She managed to mollify the angry customer"

reassure, assure - cause to feel sure; give reassurance to; "The airline tried to reassure the customers that the planes were safe"

comfort, console, solace, soothe - give moral or emotional strength to

affect - act physically on; have an effect upon

hypnotise, hypnotize, mesmerise, mesmerize - induce hypnosis in