Academic Journal

Probing the Boundary between Classical and Quantum Mechanics by Analyzing the Energy Dependence of Single-Electron Scattering Events at the Nanoscale

التفاصيل البيبلوغرافية
العنوان: Probing the Boundary between Classical and Quantum Mechanics by Analyzing the Energy Dependence of Single-Electron Scattering Events at the Nanoscale
المؤلفون: Christian Kisielowski, Petra Specht, Stig Helveg, Fu-Rong Chen, Bert Freitag, Joerg Jinschek, Dirk Van Dyck
المصدر: Nanomaterials; Volume 13; Issue 6; Pages: 971
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2023
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: electron beam–sample interactions, functional behavior, inelastic scattering, time-dependent Schrödinger equation, self-interference, coherence, Heisenberg’s uncertainty principle, wave packets
الوصف: The relation between the energy-dependent particle and wave descriptions of electron–matter interactions on the nanoscale was analyzed by measuring the delocalization of an evanescent field from energy-filtered amplitude images of sample/vacuum interfaces with a special aberration-corrected electron microscope. The spatial field extension coincided with the energy-dependent self-coherence length of propagating wave packets that obeyed the time-dependent Schrödinger equation, and underwent a Goos–Hänchen shift. The findings support the view that wave packets are created by self-interferences during coherent–inelastic Coulomb interactions with a decoherence phase close to Δϕ = 0.5 rad. Due to a strictly reciprocal dependence on energy, the wave packets shrink below atomic dimensions for electron energy losses beyond 1000 eV, and thus appear particle-like. Consequently, our observations inevitably include pulse-like wave propagations that stimulate structural dynamics in nanomaterials at any electron energy loss, which can be exploited to unravel time-dependent structure–function relationships on the nanoscale.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
Relation: https://dx.doi.org/10.3390/nano13060971
DOI: 10.3390/nano13060971
الاتاحة: https://doi.org/10.3390/nano13060971
Rights: https://creativecommons.org/licenses/by/4.0/
رقم الانضمام: edsbas.F25CE0C0
قاعدة البيانات: BASE