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From Classical to Quantum Fields$
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Laurent Baulieu, John Iliopoulos, and Roland Sénéor

Print publication date: 2017

Print ISBN-13: 9780198788393

Published to Oxford Scholarship Online: May 2017

DOI: 10.1093/oso/9780198788393.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 18 October 2021

Towards a Relativistic Quantum Mechanics

Towards a Relativistic Quantum Mechanics

(p.142) 7 Towards a Relativistic Quantum Mechanics
From Classical to Quantum Fields

Laurent Baulieu

John Iliopoulos

Roland Sénéor

Oxford University Press

Towards a relativistic quantum mechanics. Klein–Gordon and the problems of the probability current and the negative energy solutions. The Dirac equation and negative energies. P, C, and T symmetries. Positrons. The Schrödinger equation as the non-relativistic limit of relativistic equations. Majorana and Weyl equations. Relativistic corrections in hydrogen-like atoms. The Dirac equation as a quantum system with an infinite number of degrees of freedom.

Keywords:   relativistic quantum mechanics, Klein–Gordon, Dirac, Majorana, Weyl, CPT symmetry, positron, hydrogenoid atoms

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