Particle velocity = group velocity: A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger

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Standard

Particle velocity = group velocity : A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger. / Lima, Nathan; Karam, Ricardo.

I: American Journal of Physics, Bind 89, Nr. 5, 2021, s. 521-528.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Lima, N & Karam, R 2021, 'Particle velocity = group velocity: A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger', American Journal of Physics, bind 89, nr. 5, s. 521-528. https://doi.org/10.1119/10.0003165

APA

Lima, N., & Karam, R. (2021). Particle velocity = group velocity: A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger. American Journal of Physics, 89(5), 521-528. https://doi.org/10.1119/10.0003165

Vancouver

Lima N, Karam R. Particle velocity = group velocity: A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger. American Journal of Physics. 2021;89(5):521-528. https://doi.org/10.1119/10.0003165

Author

Lima, Nathan ; Karam, Ricardo. / Particle velocity = group velocity : A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger. I: American Journal of Physics. 2021 ; Bind 89, Nr. 5. s. 521-528.

Bibtex

@article{62e09a96b36841cc9d0b5f75d3467e31,
title = "Particle velocity = group velocity: A common assumption in the different theories of Louis de Broglie and Erwin Schr{\"o}dinger",
abstract = "The identification of particle velocity with the velocity of a wave group was a crucial assumption that resolved important inconsistencies in the theoretical developments of Louis de Broglie and Erwin Schr{\"o}dinger. Interestingly, this was one of the few common aspects of their work. In this paper, we present a reconstruction of how group velocity became essential for both de Broglie and Schr{\"o}dinger, as well as a comparison of important differences in their theories. Pedagogical lessons to be extracted from this episode are also outlined.",
author = "Nathan Lima and Ricardo Karam",
note = "Publisher Copyright: {\textcopyright} 2021 Author(s).",
year = "2021",
doi = "10.1119/10.0003165",
language = "English",
volume = "89",
pages = "521--528",
journal = "American Journal of Physics",
issn = "0002-9505",
publisher = "A I P Publishing LLC",
number = "5",

}

RIS

TY - JOUR

T1 - Particle velocity = group velocity

T2 - A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger

AU - Lima, Nathan

AU - Karam, Ricardo

N1 - Publisher Copyright: © 2021 Author(s).

PY - 2021

Y1 - 2021

N2 - The identification of particle velocity with the velocity of a wave group was a crucial assumption that resolved important inconsistencies in the theoretical developments of Louis de Broglie and Erwin Schrödinger. Interestingly, this was one of the few common aspects of their work. In this paper, we present a reconstruction of how group velocity became essential for both de Broglie and Schrödinger, as well as a comparison of important differences in their theories. Pedagogical lessons to be extracted from this episode are also outlined.

AB - The identification of particle velocity with the velocity of a wave group was a crucial assumption that resolved important inconsistencies in the theoretical developments of Louis de Broglie and Erwin Schrödinger. Interestingly, this was one of the few common aspects of their work. In this paper, we present a reconstruction of how group velocity became essential for both de Broglie and Schrödinger, as well as a comparison of important differences in their theories. Pedagogical lessons to be extracted from this episode are also outlined.

U2 - 10.1119/10.0003165

DO - 10.1119/10.0003165

M3 - Journal article

AN - SCOPUS:85104499202

VL - 89

SP - 521

EP - 528

JO - American Journal of Physics

JF - American Journal of Physics

SN - 0002-9505

IS - 5

ER -

ID: 274619803