Comment on "Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential"
L.B. Castro, A.S. de Castro
TL;DR
This paper critically examines a previous work on Duffin-Kemmer-Petiau particles, highlighting that the original study incorrectly used a non-Hermitian Hamiltonian in a formalism that mandates Hermitian operators.
Contribution
It clarifies the proper use of Hermitian Hamiltonians in the formalism for Duffin-Kemmer-Petiau particles and corrects the methodological oversight in the prior paper.
Findings
The original paper used a non-Hermitian Hamiltonian improperly.
Proper formalism requires Hermitian Hamiltonians for this system.
The correction impacts the validity of previous wave function solutions.
Abstract
It is shown that the paper "Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential", by Merad and Bensaid [J. Math. Phys. 48, 073515 (2007)] is not correct in using inadvertently a non-Hermitian Hamiltonian in a formalism that does require Hermitian Hamiltonians.
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