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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation for the last research proposal) Birthplace: Brazil
graduate at Fisica from Universidade de São Paulo (1982), master's at Physic from Universidade de São Paulo (1984) and ph.d. at Physic from Universidade de São Paulo (1987). Has experience in Mathematics, focusing on Mathematics Phisic, acting on the following subjects: schrodinger operators, almost periodicity, quantum stability, substitution potential and singular continuous spectrum. (Source: Lattes Curriculum)
The present project concerns a large list of problems from Statistical Mechanics, Quantum Mechanics and Quantum Field Theory. The mathematical tools involve Functional Analysis, Multiscale Analysis, Probability Theory, Stochastic Processes, Operator Algebras and other fields of Mathematics. Besides the main research group members from the state of São Paulo, our mathematical physics group…
In his Master's Thesis, the candidate Renan has studied a situation of the Aharonov-Bohm effect (AB) with a scalar potential V(x) that diverges at the solenoid border. Based on recent results in the literature, it is shown that if such divergence is fast enough then the AB operator is essentially self-adjoint; this interesting situation is understood as no interaction with the solenoid bo…
(Only some records are available in English at this moment)
| 2 / 1 | Completed research grants |
| 10 / 4 | Completed scholarships in Brazil |
| 12 / 5 | All research grants and scholarships |
| Associated processes | |
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
| Publications | 2 |
| Citations | 7 |
| Cit./Article | 3.5 |
| Data from Web of Science | |
CARVALHO, S. L.; DE OLIVEIRA, C. R.; PRADO, R. A.. Sparse one-dimensional discrete Dirac operators II: Spectral properties. Journal of Mathematical Physics, v. 52, n. 7, JUL 2011. Web of Science Citations: 6. (10/10236-3)
DE OLIVEIRA, CESAR R.; ROMANO, RENAN G.. Aharonov-Bohm effect without contact with the solenoid. Journal of Mathematical Physics, v. 58, n. 10, OCT 2017. Web of Science Citations: 1. (12/21480-8)