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Article (Scientific journals)

Do bras and kets have dimensions?

Semay, Claude; Willemyns, Cintia

2021 • In European Journal of Physics, 42

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https://hdl.handle.net/20.500.12907/10787

DOI
10.1088/1361-6404/abbab1

arXiV
2008.03187

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Keywords :

[en] Dirac notation; [en] dimensional analysis; [en] quantum mechanics

Abstract :

[en] The bra and ket notation introduced by Dirac and the dimensional analysis are two powerful tools for the physicist. Curiously, almost nothing is said about connections between these two topics in the literature. We show here that the notion of dimensions is relevant for bras and kets. This could help students to grasp a better comprehension of this abstract notation.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics
Education & instruction

Author, co-author :

Semay, Claude ; Université de Mons > Faculté des Sciences > Service de Physique nucléaire et subnucléaire

Willemyns, Cintia ; Université de Mons > Faculté des Sciences > Service de Physique nucléaire et subnucléaire

Language :

English

Title :

Do bras and kets have dimensions?

Publication date :

27 January 2021

Journal title :

European Journal of Physics

ISSN :

0143-0807

Publisher :

Institute of Physics Publishing, United Kingdom

Volume :

42

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S824 - Physique nucléaire et subnucléaire

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Name of the research project :

Physique Nucléaire Théorique - Fédération Wallonie Bruxelles

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since 07 August 2020

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Bibliography

Dirac P M A 1958 The Principles of Quantum Mechanics (Oxford: Oxford University Press)
Sakurai J J and Napolitano J 2017 Modern Quantum Mechanics (Cambridge: Cambridge University Press)
Griffiths D J and Schroeter D F 2018 Introduction to Quantum Mechanics (Cambridge: Cambridge University Press)
Gieres F 2000 Mathematical surprises and Dirac’s formalism in quantum mechanics Rep. Prog. Phys. 63 1893
Sonin A A 2001 The physical basis of dimensional analysis http://web.mit.edu/2.25/www/pdf/DA_unified.pdf (accessed July 2020)
Misic T, Najdanovic-Lukic M and Nesic L 2010 Dimensional analysis in physics and the Buckingham theorem Eur. J. Phys. 31 893
Karpov V G and Patmiou M 2020 Physics in the information age: qualitative methods in quantum mechanics Eur. J. Phys. 41 035407
Mahajan S 2018 A quantity without its units is like water without wetness Am. J. Phys. 86 381
Javier 2020 Do bras and kets have dimensions? https://physics.stackexchange.com/questions/185962/do-bras-and-kets-have-dimensions (accessed July 2020)
Lévy-Leblond J-M 1998 Dimensional angles and universal constants Am. J. Phys. 66 814

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