Quantum mechanics in finite dimensional Hilbert space

Preprint

24 May 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0205159

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.

Keywords

FINITE DIMENSIONAL HILBERT
DIMENSIONAL HILBERT SPACE
MECHANICAL FORMALISM
QUANTUM MECHANICS
HILBERT SPACE

All Related Versions

Version 1, 2002-05-24, ArXiv
Published version: American Journal of Physics, 71 (1), 49.

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