A complete set of Lorentz-invariant wave packets and modified uncertainty relation
arXiv:2104.01798 · doi:10.1140/epjc/s10052-021-09482-1
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.
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)
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