Wikipedia has excellent articles on many topics related to fundamental quantum mechanics. You are encouraged to “surf around” on wikipedia: you’ll learn stuff. Some particular articles of particular utility are:

On the Particle in a Box:

A "Modern Treatment" of the Particle in a Box (from Journal of Chemical Education)

Particle in a Box (from Wikipedia)

Postulates of Quantum Mechanics:

Postulates of Quantum Mechanics

On the Particle in a Ring:

Particle in a Ring (from Wikipedia)

This is Chapter 15 in Engel and Reid.

My favorite source for this material is Chapter 3 of:

D. A. MacQuarrie, Quantum Chemistry (University Science Books, Mill Valley California, 1983)