Formalism I: Finite-Dimensional Hilbert Spaces

Jean‐Pierre Gazeau

Adam Miranowicz, W. Leoński, Sigurd Dyrting +1 more

We give a recipe for how to generate various harmonic oscillator states formally defined in finite-dimensional Hilbert space.

Jan-Markus Schwindt

A. C. de la Torre, Dardo Goyeneche

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.

Paul Richard Halmos