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Just a nobody

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In terms of grades, I'm doing okay: I received a 3.5 in the intro course and I'm getting acceptable grades on the homework so far in my current course. However, I don't feel like I understand the topic at all. It feels more like a sea of eigenfunctions and operators than a coherent description of the world. All of the problems I've been given seem completely artificial: find some normalization constant, calculate the value of some operator acting on something, derive equation x from equation y. (Edit: book is Introduction to Quantum Mechanics by Griffiths)

While taking classical mechanics and statistical mechanics, I felt like I was developing a good intuition of how things work, but with quantum mechanics I'm still completely lost. Is there anything I can do to understand things a little better?