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Cited by 3,436Thermodynamic and Structural Properties of Metals and AlloysPhysics of Superconductivity and MagnetismSurface and Thin Film Phenomena

�ber die Quantenmechanik der Elektronen in Kristallgittern

Bloch, Felix·1929·Zeitschrift f�r Physik
DOI 10.1007/bf01339455
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Crossref · 10.1007/bf01339455

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Claims the paper makes

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Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Applying a linear potential to an ordered lattice causes the wave packet to periodically spread and re-localize (Bloch oscillations).

    “In addition, applyinga linear potential to an ordered latticethe wave packet will periodically spread andre-localize, which is denoted as Bloch oscillations [110, 111].”

    From Integrated photonic quantum walks (2020) · cites this paper as [110]

  • Bloch oscillations describe an excitation in a homogeneous lattice with a linear potential gradient, where the wavefunction periodically spreads and re-localizes.

    “Originally conceived within the framework of solid state physics, BOs describe the scenario of an excitation in a homogeneous lattice with a linear potential gradient [110,111].Here, the wavefunction of the exciting particle will periodically spread and re-localize.”

    From Integrated photonic quantum walks (2020) · cites this paper as [110]

  • The acceleration theorem states that a constant gradient in real space yields constant motion in Fourier space.

    “the famous acceleration theorem [29] states that a constant gradient in real space yields a constant motion in Fourier space.”

    From Discrete optics in femtosecond-laser-written photonic structures (2010) · cites this paper as [29]

  • Bloch showed in 1928 that a linear transverse potential yields a periodic oscillation of the wavefunction.

    “It was shown by Felix Bloch in 1928 [29] that a linear transverse potential yields a periodic oscillation of the wavefunction.”

    From Discrete optics in femtosecond-laser-written photonic structures (2010) · cites this paper as [29]

  • For a constant transverse field, the system eigenvalues are equally distributed, yielding periodic recovery of the initial field distribution.

    “for a constant transverse field the eigenvalues of the system are equally distributed [29,34] yielding a periodic recovery of the initial field distribution”

    From Discrete optics in femtosecond-laser-written photonic structures (2010) · cites this paper as [29]

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Authors
Bloch, F.
Affiliations
Leipzig University (DE)
Corresponding author
Bloch, Felix
Venue
Zeitschrift f�r Physik
Publisher
Springer Science and Business Media LLC
Published
1929-07
Volume
52
Issue
7-8
Pages
555-600
ISSN
  • 1434-6001 (ISSN-L)
  • 1434-601X
DOI
10.1007/bf01339455
OpenAlex
W2045462689
Cited by
3,436
References
0
Citations by year
2026: 106 · 2025: 158 · 2024: 170 · 2023: 150 · 2022: 148 · 2021: 158 · 2020: 177 · 2019: 109 · 2018: 131 · 2017: 132 · 2016: 109 · 2015: 131 · 2014: 89 · 2013: 86 · 2012: 78
FWCI
172.16
Type
journal article
Language
de
Open access
closed
Licence
www.springer.com/tdm (tdm)
Locations
The European Physical Journal A (publishedVersion)
Topics
  • Physical Sciences › Engineering › Mechanical Engineering › Thermodynamic and Structural Properties of Metals and Alloys
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Surface and Thin Film Phenomena
Keywords
periodic lattice potential, Fermi statistics, thermal lattice vibrations, metallic conductivity, temperature dependence of conductivity

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

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Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

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