Particle velocity = group velocity: A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger
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Particle velocity = group velocity : A common assumption in the different theories of Louis de Broglie and Erwin Schrödinger. / Lima, Nathan; Karam, Ricardo.
In: American Journal of Physics, Vol. 89, No. 5, 2021, p. 521-528.Research output: Contribution to journal › Journal article › Research › peer-review
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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