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arXiv:quant-ph/0205159 · American Journal of Physics

Quantum mechanics in finite-dimensional Hilbert space

A. C. de la Torre, Dardo Goyeneche

Published Dec 20, 2002• 33 citations
arXivHTMLPDF

Abstract

The quantum mechanical formalism for the position and momentum of a particle on a one-dimensional lattice is developed. Some mathematical features characteristic of finite-dimensional Hilbert spaces are compared with the infinite-dimensional case. The construction of an unbiased basis for state determination is discussed.
DOI
10.1119/1.1514208

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