The principle of relativity and the de Broglie relation
The de Broglie relation is revisited in connection with an ab initio relativistic description of particles and waves, which is the same treatment that historically led to this famous relation. In the same context of the Minkowski four-vector formalism, we also discuss the phase and the group velocit...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Güémez, Julio [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Rechteinformationen: |
Nutzungsrecht: © American Association of Physics Teachers © COPYRIGHT 2016 American Institute of Physics, Inc. |
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| Schlagwörter: |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: American journal of physics - College Park, Md. : AAPT, 1940, 84(2016), 6, Seite 443-447 |
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| Übergeordnetes Werk: |
volume:84 ; year:2016 ; number:6 ; pages:443-447 |
| Links: |
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| DOI / URN: |
10.1119/1.4941569 |
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| Katalog-ID: |
OLC1977537634 |
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| 520 | |a The de Broglie relation is revisited in connection with an ab initio relativistic description of particles and waves, which is the same treatment that historically led to this famous relation. In the same context of the Minkowski four-vector formalism, we also discuss the phase and the group velocity of a matter wave, explicitly showing that both transform as ordinary velocities under a Lorentz transformation. We show that such a transformation rule is a necessary condition for the covariance of the de Broglie relation, and stress the pedagogical value of the Einstein-Minkowski-Lorentz relativistic context in the presentation of the de Broglie relation. | ||
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| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Research | |
| 650 | 4 | |a Velocity | |
| 650 | 4 | |a Quantum physics | |
| 650 | 4 | |a Theory of relativity | |
| 700 | 1 | |a Fiolhais, Manuel |4 oth | |
| 700 | 1 | |a Fernández, Luis A |4 oth | |
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10.1119/1.4941569 doi PQ20160719 (DE-627)OLC1977537634 (DE-599)GBVOLC1977537634 (PRQ)g1515-8d1cdac697b8697415076c452d4da2e03f20a3ba0a1e419d9852d751344c8e330 (KEY)0054300420160000084000600443principleofrelativityandthedebroglierelation DE-627 ger DE-627 rakwb eng 530 DNB UA 1850 AVZ rvk Güémez, Julio verfasserin aut The principle of relativity and the de Broglie relation 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The de Broglie relation is revisited in connection with an ab initio relativistic description of particles and waves, which is the same treatment that historically led to this famous relation. In the same context of the Minkowski four-vector formalism, we also discuss the phase and the group velocity of a matter wave, explicitly showing that both transform as ordinary velocities under a Lorentz transformation. We show that such a transformation rule is a necessary condition for the covariance of the de Broglie relation, and stress the pedagogical value of the Einstein-Minkowski-Lorentz relativistic context in the presentation of the de Broglie relation. Nutzungsrecht: © American Association of Physics Teachers © COPYRIGHT 2016 American Institute of Physics, Inc. Relativity (Physics) Quantum theory Research Velocity Quantum physics Theory of relativity Fiolhais, Manuel oth Fernández, Luis A oth Enthalten in American journal of physics College Park, Md. : AAPT, 1940 84(2016), 6, Seite 443-447 (DE-627)129077682 (DE-600)2947-6 (DE-576)014410222 0002-9505 nnns volume:84 year:2016 number:6 pages:443-447 http://dx.doi.org/10.1119/1.4941569 Volltext http://dx.doi.org/10.1119/1.4941569 http://search.proquest.com/docview/1793330189 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_130 GBV_ILN_170 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2050 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4306 GBV_ILN_4315 GBV_ILN_4336 GBV_ILN_4700 UA 1850 AR 84 2016 6 443-447 |
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The de Broglie relation is revisited in connection with an ab initio relativistic description of particles and waves, which is the same treatment that historically led to this famous relation. In the same context of the Minkowski four-vector formalism, we also discuss the phase and the group velocity of a matter wave, explicitly showing that both transform as ordinary velocities under a Lorentz transformation. We show that such a transformation rule is a necessary condition for the covariance of the de Broglie relation, and stress the pedagogical value of the Einstein-Minkowski-Lorentz relativistic context in the presentation of the de Broglie relation. |
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The de Broglie relation is revisited in connection with an ab initio relativistic description of particles and waves, which is the same treatment that historically led to this famous relation. In the same context of the Minkowski four-vector formalism, we also discuss the phase and the group velocity of a matter wave, explicitly showing that both transform as ordinary velocities under a Lorentz transformation. We show that such a transformation rule is a necessary condition for the covariance of the de Broglie relation, and stress the pedagogical value of the Einstein-Minkowski-Lorentz relativistic context in the presentation of the de Broglie relation. |
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The de Broglie relation is revisited in connection with an ab initio relativistic description of particles and waves, which is the same treatment that historically led to this famous relation. In the same context of the Minkowski four-vector formalism, we also discuss the phase and the group velocity of a matter wave, explicitly showing that both transform as ordinary velocities under a Lorentz transformation. We show that such a transformation rule is a necessary condition for the covariance of the de Broglie relation, and stress the pedagogical value of the Einstein-Minkowski-Lorentz relativistic context in the presentation of the de Broglie relation. |
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