absently — in an absent-minded or preoccupied manner; inattentively
obliviously — unmindful; unconscious; unaware (usually followed by of or to): She was oblivious of his admiration.
dreamily — of the nature of or characteristic of dreams; visionary.
vaguely — not clearly or explicitly stated or expressed: vague promises.
insensibly — incapable of feeling or perceiving; deprived of sensation; unconscious, as a person after a violent blow.
absent-mindedly — so lost in thought that one does not realize what one is doing, what is happening, etc.; preoccupied to the extent of being unaware of one's immediate surroundings.
carelessly — If someone does something carelessly, they do it without much thought or effort.
negligently — guilty of or characterized by neglect, as of duty: negligent officials.
neglectful — characterized by neglect; disregardful; careless; negligent (often followed by of): neglectful of one's health.
wandering — moving from place to place without a fixed plan; roaming; rambling: wandering tourists.
hyperresponsive — responding especially readily and sympathetically to appeals, efforts, influences, etc.: a responsive government.