Generation of Matrices with Specified Eigenvalues and their Diagonalization

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dc.creatorMweene, Habatwa V.
dc.date2005-06-09
dc.date.accessioned2026-07-07T06:12:57Z
dc.date.available2026-07-07T06:12:57Z
dc.descriptionWe present a prescription for forming matrices with specified eigenvalues and known eigenvectors. With this method, we can form Hermitian, anti-Hermitian, symmetric and general matrices with arbitrary eigenvalues. In addition we propose an algorithm for diagonalizing such matrices. The functions required for the realization of this are probability amplitudes connecting observables with discrete eigenvalue spectra and can be obtained from spin theory. For the example case of $5\times 5$ matrices, these functions are given.
dc.description12 pages, LateX
dc.identifierhttps://arxiv.org/abs/quant-ph/0506074
dc.identifierhttp://arxiv.org/abs/quant-ph/0506074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92945
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleGeneration of Matrices with Specified Eigenvalues and their Diagonalization
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