reflect (think) deeply on a subject -- perhaps aloud
"That’s a coincidence, too," the guard mused, "for I made the same of it myself."
He watched her as she mused, and the moment she raised her eyes again, went on: "In your adopted country, I presume, I cannot do better than address you as a young English lady, Miss Manette?"
Depressed and slinking though they were, eyes of fire were not wanting among them; nor compressed lips, white with what they suppressed; nor foreheads knitted into the likeness of the gallows-rope they mused about enduring, or inflicting.
Time was, when a poet sat upon a stool in a public place, and mused in the sight of men.
Mr. Cruncher, sitting on a stool in a public place, but not being a poet, mused as little as possible, and looked about him.
"French, eh?" repeated Carton, musing, and not appearing to notice him at all, though he echoed his word.
"At Tellson’s banking-house at nine," he said, with a musing face.
There are no more uses of "muse" identified with this meaning in the book.
Show samples from other sources
He mused aloud about the afternoon’s developments.
Let me muse on it on a while and I’ll get back to you.