A user with a background in quantum mechanics is seeking recommendations for further study, specifically focusing on Heisenberg's Matrix Mechanics. They have completed a course based on Resnick, Eisberg, and Griffiths and are considering starting with Merzbacher and R. Shankar. Other participants recommend Ballentine's book, suggesting it be supplemented with Shankar's work. Additionally, Isham's book is mentioned as a helpful preliminary read due to its easier approach. The discussion clarifies that "matrix mechanics" is an outdated term, emphasizing the importance of understanding quantum theory through the Hilbert space framework developed by von Neumann and Dirac. Prof. V. Balakrishnan's YouTube courses on Quantum Mechanics are also recommended for their clarity, especially for those less familiar with linear algebra.