@article{0ea3fb68018445979d533af764074834,
title = "Quantum Trajectory Description of the Time-Independent (Inverse) Fermi Accelerator",
abstract = "We re-examine the (inverse) Fermi accelerator problem by resorting to a quantum trajectory description of the dynamics. Quantum trajectories are generated from the time-independent Schr{\"o}dinger equation solutions, using a unipolar treatment for the (light) confined particle and a bipolar treatment for the (heavy) movable wall. Analytic results are presented for the exact coupled two-dimensional problem, as well as for the adiabatic and mixed quantum-classical approximations.",
keywords = "Born-Oppenheimer approximation, Chemical physics, Energy dissipation, Fermi accelerator, Mixed quantum-classical, Nuclear physics, Quantum dynamics, Quantum friction, Quantum trajectories",
author = "Hussein, {M. S.} and B. Poirier",
note = "Funding Information: This work was partly supported by The Robert A. Welch Foundation (D-1523) and by the Brazilian agencies, Funda{\c c}{\~a}o de Amparo {\`a} Pesquisa do Estado de S{\~a}o Paulo (FAPESP), and Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico (CNPq). MSH acknowledges a Senior Visiting Professorship granted by the Coordena{\c c}{\~a}o de Aperfei{\c c}oamento de Pessoal de N{\'i}vel Superior (CAPES), through the CAPES/ITA-PVS program. Primary support, however, is through a joint grant from the SPRINT FAPESP/TTU program (2016/50485-9), which both MSH and BP share. BP also acknowledges support from the MPIPKS during his six month stay at the Institute (February-August, 2018). Publisher Copyright: {\textcopyright} 2020, Sociedade Brasileira de F{\'i}sica.",
year = "2021",
month = apr,
doi = "10.1007/s13538-020-00825-z",
language = "English",
volume = "51",
pages = "193--203",
journal = "Brazilian Journal of Physics",
issn = "0103-9733",
number = "2",
}