Superluminal matter waves
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2FCZ______%3A_____%2F24%3AN0000067" target="_blank" >RIV/CZ______:_____/24:N0000067 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.043075" target="_blank" >https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.043075</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevResearch.6.043075" target="_blank" >10.1103/PhysRevResearch.6.043075</a>
Alternative languages
Result language
angličtina
Original language name
Superluminal matter waves
Original language description
The Dirac equation has resided among the greatest successes of modern physics since its emergence as the first quantum mechanical theory fully compatible with special relativity. This compatibility ensures that the expectation value of the velocity is less than the vacuum speed of light. Here, we show that the Dirac equation admits free-particle solutions where the peak amplitude of the wave function can travel at any velocity, including those exceeding the vacuum speed of light, despite having a subluminal velocity expectation value. The solutions are constructed by superposing basis functions with correlations in momentum space. These arbitrary velocity wave functions feature a near-constant profile and may impact quantum mechanical processes that are sensitive to the local value of the probability density as opposed to expectation values.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)
Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW RESEARCH
ISSN
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e-ISSN
2643-1564
Volume of the periodical
6
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
043075 (1-6)
UT code for WoS article
001350592500001
EID of the result in the Scopus database
2-s2.0-85208242937