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arXiv · 2104.01798

A complete set of Lorentz-invariant wave packets and modified uncertainty relation

Kin-ya Oda·Juntaro Wada
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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.

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Kin-ya Oda, Juntaro Wada. 2021-04-05. A complete set of Lorentz-invariant wave packets and modified uncertainty relation. https://doi.org/10.1140/epjc%2Fs10052-021-09482-1

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