Quantum mechanics in finite dimensional Hilbert space

Details Quantum mechanics in finite dimensional Hilbert space Quantum mechanics in finite dimensional Hilbert space

2002-05-24

arxiv.org/abs/quant-ph/0205159v1

Am. J.Phys. 71, 49-54, 2003.

Physics

Quantum Physics

14 pages, no figures

Scientific paper

10.1119/1.1514208

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.

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