Quantum mechanics in finite dimensional Hilbert space

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.

14 pages, no figures

References in corpus (2)

• A new proof for the existence of mutually unbiased bases
• Relativity of representations in quantum mechanics

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