Semiclassical dynamics of multidimensional systems and initial value representations
Investigation of phosphorus-doped silicon under high magnetic fields
Semiclassical quantization methods for time-periodic systems
| Full text | |
| Author(s): |
Novaes, Marcel
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 46, n. 50 DEC 20 2013. |
| Web of Science Citations: | 9 |
| Abstract | |
We propose a matrix model which embodies the semiclassical approach to the problem of quantum transport in chaotic systems. Specifically, a matrix integral is presented whose perturbative expansion satisfies precisely the semiclassical diagrammatic rules for the calculation of general counting statistics. Evaluating it exactly, we show that it agrees with corresponding predictions from random matrix theory. This uncovers the algebraic structure behind the equivalence between these two approaches, and opens the way for further semiclassical calculations. (AU) | |
| FAPESP's process: | 12/00699-1 - Quantum chaos, matrix integrals and combinatorics |
| Grantee: | Marcel Novaes |
| Support Opportunities: | Regular Research Grants |