Some standard results of matrix theory are derived in a manner designed to appeal to physicists and are illustrated by examples from quantum mechanics. Sylvester's formulas, expressing a function of any n-dimensional square matrix as a linear combination of the first n−1 powers of , are applied to the evaluation of the rotation matrices for low values of . The neutral K meson is used as an example of the usefulness of matrix techniques for systems with two basis states.
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PAPERS| September 01 1968
Eugen Merzbacher; Matrix Methods in Quantum Mechanics. Am. J. Phys. 1 September 1968; 36 (9): 814–821. https://doi.org/10.1119/1.1975154
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