Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Ismael L. Paiva"'
Publikováno v:
Communications Physics, Vol 5, Iss 1, Pp 1-7 (2022)
Relativistic theories brought the operational notion of time to the center stage of physics. Here, the authors show that effective unitary dynamics is not guaranteed if this notion is extended to quantum mechanics when relativistic corrections are co
Externí odkaz:
https://doaj.org/article/bd2f4ac4da0d4e61bd9307d8e776e161
Publikováno v:
Quantum, Vol 6, p 683 (2022)
Uncertainty relations play a crucial role in quantum mechanics. Well-defined methods exist for the derivation of such uncertainties for pairs of observables. Other approaches also allow the formulation of time-energy uncertainty relations, even thoug
Externí odkaz:
https://doaj.org/article/e8974d05399942318520be52b30593a7
Publikováno v:
Physical Review A. 107
The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposition of wave packets having their relative phase affected by the flux.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f6ea316a5841df95cb0862e20253569
https://doi.org/10.1103/physreva.107.032213
https://doi.org/10.1103/physreva.107.032213
Publikováno v:
New Journal of Physics. 25:053017
The interaction between a quantum charge and a dynamic source of a magnetic field is considered in the Aharonov-Bohm scenario. It is shown that, in weak interactions with a post-selection of the source, the effective vector potential is, generally, c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c3afb1d18788bdecbf73765b6c68fb3
https://doi.org/10.1088/1367-2630/acd4dd
https://doi.org/10.1088/1367-2630/acd4dd
Publikováno v:
Israel Journal of Mathematics. 236:207-246
We develop some aspects of the theory of hyperholomorphic functions whose values are taken in a Banach algebra over a field -- assumed to be the real or the complex numbers -- and which contains the field. Notably, we consider Fueter expansions, Glea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2fa01e82dd52c2eb576cf7f9d9b7c33
https://doi.org/10.1007/s11856-020-1970-7
https://doi.org/10.1007/s11856-020-1970-7
Uncertainty relations play a crucial role in quantum mechanics. Well-defined methods exist for the derivation of such uncertainties for pairs of observables. Other approaches also allow the formulation of time-energy uncertainty relations, even thoug
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::921ee1a06e9b45280e4a482f46180a7e
http://arxiv.org/abs/2106.00523
http://arxiv.org/abs/2106.00523
Autor:
Ismael L. Paiva
This is a dissertation in two parts. In the first one, the Aharonov-Bohm effect is investigated. It is shown that solenoids (or flux lines) can be seen as barriers for quantum charges. In particular, a charge can be trapped in a sector of a long cavi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::116b7fd6db280e0a0504ff8657add821
https://doi.org/10.36837/chapman.000159
https://doi.org/10.36837/chapman.000159
It is shown that, in some cases, the effect of discrete distributions of flux lines in quantum mechanics can be associated with the effect of continuous distributions of magnetic fields with special symmetries. In particular, flux lines with an arbit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b4f202973ca7f9080649fea5da3dcb3
Autor:
Daniel Alpay, Ismael L. Paiva
We define an extension of operator-valued positive definite functions from the real or complex setting to topological algebras, and describe their associated reproducing kernel spaces. The case of entire functions is of special interest, and we give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11902ba4b702002e0fb4e8a507879b79
Publikováno v:
Advanced Quantum Technologies. 5:2100121
Geometric phase is a key player in many areas of quantum science and technology. In this review article, we outline several foundational aspects of quantum geometric phases and their relations to classical geometric phases. We then discuss how the Ah
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc21e65c322e647d9b89b99328b047e6
https://doi.org/10.1002/qute.202100121
https://doi.org/10.1002/qute.202100121