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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Pure and Mixed States

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Author(s):
Barata, J. C. A. [1] ; Brum, M. [2] ; Chabu, V. [1] ; Correa da Silva, R. [1]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Fis, CP 66-318, BR-05314970 Sao Paulo, SP - Brazil
[2] Univ Fed Rio de Janeiro, Campus UFRJ Duque de Caxias, BR-25240005 Duque De Caxias, RJ - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Brazilian Journal of Physics; v. 51, n. 2, SI, p. 244-262, APR 2021.
Web of Science Citations: 1
Abstract

We present a review on the notion of pure states and mixtures as mathematical concepts that apply for both classical and quantum physical theories, as well as for any other theory depending on statistical description. Here, states will be presented as expectation values on suitable algebras of observables, in a manner intended for the non-specialist reader; accordingly, basic literature on the subject will be provided. Examples will be exposed together with a discussion on their meanings and implications. An example will be shown where a pure quantum state converges to a classical mixture of particles as Planck's constant tends to 0. (AU)

FAPESP's process: 17/13865-0 - Semiclassical study of eigenvalue crossings with applications to Physics .
Grantee:Victor Bernardo Chabu
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 15/02975-4 - Mathematical aspects of quantum field theories in curved space-times
Grantee:Marcos Carvalho Brum de Oliveira
Support Opportunities: Scholarships in Brazil - Post-Doctoral