The Emerging Quantum by Luis de la Peña Ana María Cetto & Andrea Valdés Hernández

Author:Luis de la Peña, Ana María Cetto & Andrea Valdés Hernández
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

5.4.2 The Hilbert-Space Description and State Vectors

For a more comprehensive description of the quantum system it is convenient to introduce the state vectors of an appropriate Hilbert space. The ensuing formalism, which is of course known to be an extremely useful tool in qm, will be useful for the study of the statistical nature of the quantum description to be made below. It also will prove very valuable for the analysis of Correlations!entanglemententanglementEntanglement Entanglement!and correlations to be developed in Chap. 7.

We start by observing that the matrix represented by the set of its Elementary oscillatorselementary oscillatorsDetailed balance!oscillator can be expanded as follows,

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