Comment on "Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential"

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.Comment: 2 page

Corroborating the equivalence between the Duffin-Kemmer-Petiau and the Klein-Gordon and Proca equations

It is shown that the Hamiltonian version of the Duffin-Kemmer-Petiau theory with electromagnetic coupling brings about a source term at the current. It is also shown that such a source term disappears from the scenario if one uses the correct physical form for the Duffin-Kemmer-Petiau field, regardless the choice for representing the Duffin-Kemmer-Petiau matrices. This result is used to fix the ambiguity in the electromagnetic coupling in the Duffin-Kemmer-Petiau theory. Moreover, some widespread misconceptions about the Hermiticity in the Duffin-Kemmer-Petiau theory are discussed.Comment: 13 pages, to appears in Phys. Rev.

On the bound-state spectrum of a nonrelativistic particle in the background of a short-ranged linear potential

The nonrelativistic problem of a particle immersed in a triangular potential well, set forth by N.A. Rao and B.A. Kagali, is revised. It is shown that these researchers misunderstood the full meaning of the potential and obtained a wrong quantization condition. By exploring the space inversion symmetry, this work presents the correct solution to this problem with potential applications in electronics in a simple and transparent way

Missing solution in a Cornell potential

Missing bound-state solutions for fermions in the background of a Cornell potential consisting of a mixed scalar-vector-pseudoscalar coupling is examined. Charge-conjugation operation, degeneracy and localization are discussed

Trisecting Smooth 4-dimensional Cobordisms

We extend the theory of relative trisections of smooth, compact, oriented $4$-manifolds with connected boundary given by Gay and Kirby to include $4$-manifolds with an arbitrary number of boundary components. Additionally, we provide sufficient conditions under which relatively trisected $4$-manifolds can be glued to one another along diffeomorphic boundary components so as to induce a trisected manifold. These two results allow us to define a category $\textrm{Tri}$ whose objects are smooth, closed, oriented $3$-manifolds equipped with open book decompositions, and morphisms are relatively trisected cobordisms. Additionally, we extend the Hopf stabilization of open book decompositions to a relative stabilization of relative trisections.Comment: 19 pages, 11 Figure

A new species of Prosekia (Philosciidae, Isopoda) from an inundation forest (igapó) in the Central Amazon

Prosekia tarumae n. sp. (Philosciidae, Isopoda) from a Central Amazonian black-water inundation forest (lgapó) is described

Border X-ing

The sun out-stretched its bright arms in an embrace with the mesquite trees that beckoned upwards. The wind greeted the clothes drying upon delicate wire while my mother meticulously placed white towels in the light and the jeans under the shade of the Arizona Ash. The washboard sits upright in the bucket full of suds and other assorted laundry. Inside the shed there is both a working dryer and washer only a few years old, but she has chosen to do this chore outside. Here she can close her eyes and be back in Mexico with the dry heat and the dusty wind hitting against the houses of colorful concrete walls. She senses the animals of the ranch pecking at the maize that has been long picked since the harvest. She hears the commotion of the bar-b-que that is smoking next door at Tia Alaida’s house, a world that I have only visited a few times, never quite experiencing it as deeply as she. [excerpt