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Quantum Harmonic Analysis of the Density Matrix

Quantum Physics 2019-04-17 v2 Mathematical Physics math.MP Operator Algebras Probability

Abstract

We will study rigorously the notion of mixed states and their density operators (or matrices.) We will also discuss the quantum-mechanical consequences of possible variations of Planck's constant h. This Review has been written having in mind two readerships: mathematical physicists and quantum physicists. The mathematical rigor is maximal, but the language and notation we use throughout should be familiar to physicists.

Keywords

Cite

@article{arxiv.1703.00889,
  title  = {Quantum Harmonic Analysis of the Density Matrix},
  author = {Maurice A. de Gosson},
  journal= {arXiv preprint arXiv:1703.00889},
  year   = {2019}
}

Comments

Revised version, published in "Quanta"

R2 v1 2026-06-22T18:33:57.849Z