https://doi.org/10.1140/epjc/s10052-021-09482-1
Regular Article - Theoretical Physics
A complete set of Lorentz-invariant wave packets and modified uncertainty relation
1
Department of Mathematics, Tokyo Woman’s Christian University, 167-8585, Tokyo, Japan
2
Department of Physics, University of Tokyo, 113-0033, Tokyo, Japan
Received:
10
April
2021
Accepted:
24
July
2021
Published online:
20
August
2021
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.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-023-11290-8.
© The Author(s) 2021
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