On the Synergic Relationships between Special Relativity and Quantum Theories

Main Article Content

E. Comay


The successful results of the relativistic form of a quantum field theory that is derived from aLagrangian density justify its general usage. The significance of the Euler-Lagrange equations of a quantum particle is analysed. Many advantages of this approach, like abiding by the conservation laws of energy, momentum, angular momentum, and charge are well known. The merits of this approach also include other properties that are still not well known. For example, it is shown that a quantum function of the form ψ(t, r) describes a pointlike particle. Furthermore, the Lagrangian density and the Hamiltonian density take a different relativistic form – the Lagrangian density is a Lorentz scalar, whereas the Hamiltonian density is the T00 component of the energy-momentum tensor. It is proved that inconsistencies in the electroweak theory stem from negligence of the latter point.

Special relativity, quantum fields, the variational principle, Noether theorem.

Article Details

How to Cite
Comay, E. (2020). On the Synergic Relationships between Special Relativity and Quantum Theories. Physical Science International Journal, 24(6), 34-43. https://doi.org/10.9734/psij/2020/v24i630197
Original Research Article


Goldstein H, Poole C, Safko J. Classical mechanics. 3rd Edition. Addison Wesley, San Francisco; 2002.

Landau LD, Lifshitz EM. Mechanics.

Pergamon, Oxford; 1960.

Coulson CA. Waves. Oliver and Boyd, Edinburgh; 1961.

Landau LD, Lifshitz EM. The classical theory of fields. Elsevier, Amsterdam; 2005.

Jackson JD. Classical electrodynamics.

New York: John Wiley; 1975.

Feynman RP, Leighton RB, Sands M. The Feynman lectures on physics. V. II, Addison- Wesley, Reading Mass; 1965.
Avalable:https://en.wikipedia.org/wiki/Hein- rich Hertz
Avalable:https://home.cern/science/accelera- tors/large-electron-positron-collider

Tanabashi M, et al. Particle data group. Phys. Rev. D. 2018;98:030001.
Avalable:http://pdg.lbl.gov/2019/listings/rpp- -list-photon.pdf

Tu LC, Luo J. Metrologia. 2004;41:S136 Avalable:https://www.researchgate.net/pub- lication/228689980

Dirac PAM. The principles of quantum mechanics. Oxford University Press, London; 1958.

Schiff LI. Quantum mechanics. McGraw- Hill, New York; 1955.

Weinberg S. The quantum theory of fields. Vol. I. Cambridge University Press, Cambridge; 1995.

Rohrlich F, Classical charged particle. Third Edition, World Scientific, Singapore; 2007.
Avalable:https://en.wikipedia.org/wiki/Double- slit experimentInterference of individua par-ticles

Perkins DH. Introduction to high energy physics. Menlo Park CA, Addison-Wesley; Bjorken JD, Drell SD. Relativistic quantum Fields. McGraw-Hill, New York; 1965.

Halzen F, Martin AD. Quarks and leptons, an introductory course in modern particle physics. John Wiley, New York; 1984.

Dehmelt H. Physica scripta. 1988;T22:102.

Ishii N, Aoki, Hatsuda T. Phys. Rev. Lett. ;99:022001.

Thomson M. Modern particle physics.

Cambridge University Press, Cambridge; Peskin ME, Schroeder DV. An introduction to quantum field theory. Addison-Wesley, Reading Mass; 1995.

Pauli W. Relativistic field theories of elementary particles. Rev. Mod. Phys.

Bjorken JD, Drell SD. Relativistic quantum Mechanics. McGraw-Hill, New York; 1964.

Comay E. A theory of weak interaction dynamics. Open Access Library Journal.

Feynman RP, Gell-Mann M. Phys. Rev.

Salam A. Nobel lecture.
Avalable:https://www.nobelprize.org/up- loads/2018/06/salam-lecture.pdf

Bilenky SM. Phys. Part. Nuclei.

Srednicki M. Quantum field theory.

Cambridge University Press, Cambridge; Formaggio JA, Zeller GP. Rev. Mod. Phys.

Comay E. Differences between two weak interaction theories. Phys. Sci. Int. J.
Avalable:http://www.journalpsij.com/index.- php/PSIJ/article/view/30091/56456
Avalable:https://en.wikipedia.org/wiki/List-of unsolved problems in physics