Skip to content
Research Article Open access CC BY 4.0

Relativistic Properties of a Lagrangian and a Hamiltonian in Quantum Theories

Eliahu Comay

Physical Science International Journal · pp. 1–9 · Published 21 Nov 2019

10.9734/psij/2019/v23i430162

Abstract

Relativistic properties of a Dirac Lagrangian density are compared with those of a Dirac Hamiltonian density. Differences stem from the fact that a Lagrangian density is a Lorentz scalar, whereas a Hamiltonian density is a 00-component of a second rank tensor, called the energy-momentum tensor. This distinction affects the form of an interaction term of a Dirac particle. In particular, a tensor interaction term of a Dirac Lagrangian density transforms to a difference between a vector and an axial vector of the corresponding Hamiltonian density. This outcome shows that fundamental principles can prove the V-A attribute of weak interactions. A further analysis supports these results. Inherent problems of the electroweak theory are discussed.

Dirac Lagrangian density Dirac Hamiltonian density Dirac generalized momentum weak interactions.

References (10)

  1. 1 Relativistic Quantum Mechanics [DOI]
  2. 2 Theory of the Fermi Interaction [DOI]
  3. 3 From eV to EeV: Neutrino cross sections across energy scales [DOI]
  4. 4 Introduction to High Energy Physics [DOI]
  5. 5 Quarks and Leptones: An Introductory Course in Modern Particle Physics
  6. 6 Group Theory and Physics [DOI]
  7. 7 Neutrino in standard model and beyond [DOI]
  8. 8 A Theory of Weak Interaction Dynamics [DOI]
  9. 9 Differences Between Two Weak Interaction Theories [DOI]
  10. 10 Further Aspects of Weak Interaction Dynamics [DOI]

Cited by 1

The Standard Model vs. Physical Facts

E. Comay · 2020

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

1

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.