A complete set of Lorentz-invariant wave packets and modified uncertainty relation
High Energy Physics - Theory
2023-01-26 v4 High Energy Physics - Phenomenology
Quantum Physics
Abstract
We define a set of fully Lorentz-invariant wave packets and show that it spans the corresponding one-particle Hilbert subspace, and hence the whole Fock space as well, with a manifestly Lorentz-invariant completeness relation (resolution of identity). The position-momentum uncertainty relation for this Lorentz-invariant wave packet deviates from the ordinary Heisenberg uncertainty principle, and reduces to it in the non-relativistic limit.
Cite
@article{arxiv.2104.01798,
title = {A complete set of Lorentz-invariant wave packets and modified uncertainty relation},
author = {Kin-ya Oda and Juntaro Wada},
journal= {arXiv preprint arXiv:2104.01798},
year = {2023}
}
Comments
44 pages, references added, more explanations given, version accepted for publication in Eur. Phys. J. C (v3); a typo in Eq.(160) is corrected (v4)