Quantum mechanics in finite dimensional Hilbert space
Quantum Physics
2009-11-07 v1
Abstract
The quantum mechanical formalism for position and momentum of a particle in a one dimensional cyclic lattice is constructively developed. Some mathematical features characteristic of the finite dimensional Hilbert space are compared with the infinite dimensional case. The construction of an unbiased basis for state determination is discussed.
Cite
@article{arxiv.quant-ph/0205159,
title = {Quantum mechanics in finite dimensional Hilbert space},
author = {A. C. de la Torre and D. Goyeneche},
journal= {arXiv preprint arXiv:quant-ph/0205159},
year = {2009}
}
Comments
14 pages, no figures