Joseph Bunao

Joseph Bunao
University of the Philippines | UPD · National Institute of Physics

PhD

About

5
Publications
265
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20
Citations

Publications

Publications (5)
Article
As a follow-up to a recent study in the spin-0 case [J. Bunao and E. A. Galapon, Ann. Phys. 353, 83-106 (2015)], we construct a one-particle Time of Arrival (TOA) operator conjugate to a Hamiltonian describing a free relativistic spin-1/2 particle in one spatial dimension. Upon transformation in a representation where the Hamiltonian is diagonal, i...
Article
We construct a one-particle TOA operator $\mathcal{\hat{T}}$ canonically conjugate with the Hamiltonian describing a free, charged, spin-$0$, relativistic particle in one spatial dimension and show that it is maximally symmetric. We solve for its eigenfunctions and show that they form a complete and non-orthogonal set. Plotting the time evolution o...
Article
Full-text available
The Bender-Dunne basis operators, $\mathsf{T}_{-m,n}=2^{-n}\sum_{k=0}^n {n \choose k} \mathsf{q}^k \mathsf{p}^{-m} \mathsf{q}^{n-k}$ where $\mathsf{q}$ and $\mathsf{p}$ are the position and momentum operators respectively, are formal integral operators in position representation in the entire real line $\mathbb{R}$ for positive integers $n$ and $m$...
Article
Full-text available
This study considers the operator T corresponding to the classical spacetime four-volume T (on-shell) of a finite patch of spacetime in the context of unimodular loop quantum cosmology for the homogeneous and isotropic model with flat spatial sections and without matter sources. Since the spacetime fourvolume is canonically conjugate to the cosmolo...

Questions

Question (1)
Question
I'm studying the non-commutative Fourier Transform from the paper ( https://arxiv.org/pdf/1301.7750v2.pdf ). The transform rests upon the non-commutativity of the plane waves E_g(X) on the star product \star. (Please see attached for more details)

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Projects

Project (1)
Project
Studying GFT