Probing the Boundary between Classical and Quantum Mechanics by Analyzing the Energy Dependence of Single-Electron Scattering Events at the Nanoscale.
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| Title: | Probing the Boundary between Classical and Quantum Mechanics by Analyzing the Energy Dependence of Single-Electron Scattering Events at the Nanoscale. |
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| Authors: | Kisielowski, Christian1 (AUTHOR) cfkisielowski@sbcglobal.net, Specht, Petra2 (AUTHOR), Helveg, Stig3 (AUTHOR), Chen, Fu-Rong4 (AUTHOR), Freitag, Bert5 (AUTHOR), Jinschek, Joerg6 (AUTHOR), Van Dyck, Dirk7 (AUTHOR) |
| Source: | Nanomaterials (2079-4991). Mar2023, Vol. 13 Issue 6, p971. 12p. |
| Subjects: | Wave packets, Classical mechanics, Quantum mechanics, Time-dependent Schrödinger equations, Theory of wave motion, Heisenberg uncertainty principle, Electron energy loss spectroscopy |
| Abstract: | 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Nanomaterials (2079-4991) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 162818064 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Probing the Boundary between Classical and Quantum Mechanics by Analyzing the Energy Dependence of Single-Electron Scattering Events at the Nanoscale. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kisielowski%2C+Christian%22">Kisielowski, Christian</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> cfkisielowski@sbcglobal.net</i><br /><searchLink fieldCode="AR" term="%22Specht%2C+Petra%22">Specht, Petra</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Helveg%2C+Stig%22">Helveg, Stig</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chen%2C+Fu-Rong%22">Chen, Fu-Rong</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Freitag%2C+Bert%22">Freitag, Bert</searchLink><relatesTo>5</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jinschek%2C+Joerg%22">Jinschek, Joerg</searchLink><relatesTo>6</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Van+Dyck%2C+Dirk%22">Van Dyck, Dirk</searchLink><relatesTo>7</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Nanomaterials+%282079-4991%29%22">Nanomaterials (2079-4991)</searchLink>. Mar2023, Vol. 13 Issue 6, p971. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Wave+packets%22">Wave packets</searchLink><br /><searchLink fieldCode="DE" term="%22Classical+mechanics%22">Classical mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+mechanics%22">Quantum mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Time-dependent+Schrödinger+equations%22">Time-dependent Schrödinger equations</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Heisenberg+uncertainty+principle%22">Heisenberg uncertainty principle</searchLink><br /><searchLink fieldCode="DE" term="%22Electron+energy+loss+spectroscopy%22">Electron energy loss spectroscopy</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Nanomaterials (2079-4991) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3390/nano13060971 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 971 Subjects: – SubjectFull: Wave packets Type: general – SubjectFull: Classical mechanics Type: general – SubjectFull: Quantum mechanics Type: general – SubjectFull: Time-dependent Schrödinger equations Type: general – SubjectFull: Theory of wave motion Type: general – SubjectFull: Heisenberg uncertainty principle Type: general – SubjectFull: Electron energy loss spectroscopy Type: general Titles: – TitleFull: Probing the Boundary between Classical and Quantum Mechanics by Analyzing the Energy Dependence of Single-Electron Scattering Events at the Nanoscale. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kisielowski, Christian – PersonEntity: Name: NameFull: Specht, Petra – PersonEntity: Name: NameFull: Helveg, Stig – PersonEntity: Name: NameFull: Chen, Fu-Rong – PersonEntity: Name: NameFull: Freitag, Bert – PersonEntity: Name: NameFull: Jinschek, Joerg – PersonEntity: Name: NameFull: Van Dyck, Dirk IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 03 Text: Mar2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 20794991 Numbering: – Type: volume Value: 13 – Type: issue Value: 6 Titles: – TitleFull: Nanomaterials (2079-4991) Type: main |
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