Group Theoretical Settling of Spin Zero Relativistic Particle Theories
Quantum Physics
2019-05-22 v1
Abstract
In order to avoid the difficulties encountered by relativistic quantum theory of single particles, we pursue a deductive development of the theory from physical principles, without canonical quantization, by making use of group-theoretical methods. Our work has pointed out the necessity of new classes of irreducible representations of the Poincar\'e group the quantum theory of a particle can be based on. For spin 0 particle, four inequivalent theories are completely determined, with fundamental differences with respect to Klein-Gordon theory.
Keywords
Cite
@article{arxiv.1903.03066,
title = {Group Theoretical Settling of Spin Zero Relativistic Particle Theories},
author = {Giuseppe Nisticò},
journal= {arXiv preprint arXiv:1903.03066},
year = {2019}
}
Comments
12 pages. arXiv admin note: substantial text overlap with arXiv:1901.11481