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"# 8. Matrices in Quantum Mechanics"
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"In the Huckel model of electronic energy levels, described in Chapter 7, the relative electronic energies of $\\pi$ orbitals are calculated on the assumption that each $\\pi$ orbital interacts only with it nearest neighbours. A matrix of interactions was constructed and the eigenvalues and eigenvectors found. In this chapter, problems that are more general are explored and this is done by using a basis set, i.e. a set of wavefunctions that are solutions of a known potential, such as particle in a box,to enable more complex problems to be solved by using combinations of these known wavefunctions to solve the Schroedinger equation for an arbitrary potential whose analytical solution is not forthcoming. "
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