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