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Publication details

Document type
Book chapters


Title
Alternative Quantum Formulations and Systems at the Classical-Quantum Border

Participants in the publication
R. Vilela Mendes (Author)
CMAFcIO

Summary
There are, at least, three completely equivalent formulations of quantum\nmechanics: the Hilbert space approach, the phase-space deformation approach and\nthe tomographic one. The Hilbert space approach is the most widely used to describe\ndynamics at the microscopic level. However, with the recent emergence of “quantum\ntechnology” it became important to have appropriate models for systems with\nbehavior at the classical-quantum border. For these systems, the deformation and\ntomographic approaches turn out to be more convenient than the Hilbert space one.\nThis paper presents a short review of the alternative quantum formalisms as well as\nsome applications, one of them discussed at the Nice conference.

Editor(s)
C. Bernardin et al. (eds.), From Particle Systems to Partial Differential Equations

Date of Publication
2021

Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Springer Proceedings in Mathematics & Statistics,From Particle Systems to Partial Differential Equations

Publication Identifiers
ISSN - 2194-1009

Publisher
Springer International Publishing

Edition
1st

Number of pages
20
Starting page
381
Last page
400

Document Identifiers
DOI - https://doi.org/10.1007/978-3-030-69784-6_18
URL - http://dx.doi.org/10.1007/978-3-030-69784-6_18


Export

APA
R. Vilela Mendes, (2021). Alternative Quantum Formulations and Systems at the Classical-Quantum Border. Springer Proceedings in Mathematics & Statistics,From Particle Systems to Partial Differential Equations, 381-400

IEEE
R. Vilela Mendes, "Alternative Quantum Formulations and Systems at the Classical-Quantum Border" in Springer Proceedings in Mathematics & Statistics,From Particle Systems to Partial Differential Equations, 2021, pp. 381-400

BIBTEX
@incollection{51967, author = {R. Vilela Mendes}, title = {Alternative Quantum Formulations and Systems at the Classical-Quantum Border}, booktitle = {Springer Proceedings in Mathematics & Statistics,From Particle Systems to Partial Differential Equations}, year = 2021, pages = {381-400}, address = {}, publisher = {Springer International Publishing} }