topological insulators; scattering theory; quantum field theory; linear response theory; Lindblad dynamics
Giordanelli Ilario, Graf Gian Michele (2015), The Real Spectrum of the Imaginary Cubic Oscillator: An Expository Proof, in ANNALES HENRI POINCARE
, 16(1), 99-112.
Macieszczak Katarzyna, Fraas Martin, Demkowicz-Dobrzański Rafał (2014), Bayesian quantum frequency estimation in presence of collective dephasing, in New Journal of Physics
, 16, 113002.
Devyver Baptiste, Fraas Martin, Pinchover Yehuda (2014), Optimal hardy weight for second-order elliptic operator: An answer to a problem of Agmon, in Journal of Functional Analysis
, 266(7), 4422-4489.
Graf Gian Michele, Porta Marcello (2013), Bulk-Edge Correspondence for Two-Dimensional Topological Insulators, in COMMUNICATIONS IN MATHEMATICAL PHYSICS
, 324(3), 851-895.
Beaud V., Graf Gian Michele, Lebedev Alexander V., Lesovik Gordey B. (2013), Statistics of Charge Transport and Modified Time Ordering, in Journal of Statistical Physics
, 153(2), 177-210.
Agazzi A., Eckmann Jean Pierre, Graf Gian Michele (2013), The Colored Hofstadter Butterfly for the Honeycomb Lattice, in Journal of Statistical Physics
, 156(3), 417-426.
Avron Joseph E., Fraas Martin, Graf Gian Michele (2012), Adiabatic Response for Lindblad Dynamics, in Journal of Statistical Physics
, 148(5), 800-823.
The applicant proposes a research plan in Mathematical Physics suited tomake best use of the joint expertise of a postdoc (Martin Fraas), of a graduate student (Vincent Beaud), and of his own.The research to be performed is about one or several of the following topics,as further detailed in Section 2.2:(i) quantum mechanics of open systems(ii) scattering in quantum field theory,(iii) topological insulators.