I focus on developing theoretical methods to reconstruct the radial distribution function (RDF) of amorphous solids in a general and predictive manner, based on wavelet transformations. In this work, I construct wavelet functions grounded in the principles of non-relativistic quantum mechanics and semi-empirical approximations. Efforts to integrate machine learning have also been undertaken. Although challenging, several results have demonstrated significant improvements. 

The adiabatic manipulation on 1D Dirac materials (e.g., graphene nanoribbon) impurity exhibits an enhancement to their electrical properties. However, adiabatic manipulation works very slowly. I am interested to employ the fast-forward adiabatic Dirac dynamics (1+1)-dim by Deffner (2015) to create fast-forward potential to accelerate this process

I have an interest to apply some methods in QFT (e.g., second quantization, many-body Green's function, Wick Theorem, Scattering and Feynman Diagrams) to explain some physical properties of condensed matter system

I am interested in studying density functional theory (DFT) as a theory in its own right and in applying it across several fields. These applications include materials physics, chemistry, pharmacy, and various branches of engineering (mechanical engineering, electrical engineering, computer science, engineering physics, photonics, etc.)  that deal with atoms and molecules. 

Density Functional Theory (DFT) is the most powerful and efficient theoretical framework for solving the many-body Schrödinger equation. P. Hohenberg and W. Kohn made fundamental contributions through the theorems that established DFT, which were later realized in the Kohn–Sham (KS) representation. DFT would become more accurate if the exact Exchange–Correlation functional were discovered, since up to now it has only been approximated. I am motivated to pursue the exact form of the Exchange–Correlation functional for DFT. 

Here, I am interested in using DFT as a tool to characterize phytopharmaceutical properties. At present, I am focusing on the antioxidant capacity of roselle flowers (Hibiscus sabdariffa L.) to prevent singlet oxygen (1O2) as an example of reactive oxygen species, and on its interactions with bacterial or viral proteins. 

I am interested in using density functional theory (DFT) to characterize the properties and potential reactivity of colony-stimulating factor 1 receptor (CSF1R) inhibitors in the context of Alzheimer’s disease. This characterization involves identifying the frontier molecular orbitals of each inhibitor, locating the active sites within CSF1R, and evaluating their potential interactions based on quantum chemical descriptors derived from Janak’s theorem (Koopmans’ theorem adapted for DFT).

I am interested in contributing to the application of time-dependent density functional theory (TD-DFT) as a physics-guided approach to soil contamination analysis through hyperspectral unmixing. In this context, TD-DFT is used to extract the reflectance of electromagnetic waves across different wavelengths resulting from interactions with soil contaminants, and the results are compared with the optimization outcomes of hyperspectral unmixing algorithms. The spectra generated by TD-DFT are further refined using Gaussian broadening and the Kubelka–Munk theory. 

At present, I am attempting to provide a more physical explanation of the finite-energy optical GKP quantum state using Rayleigh–Schrödinger (RS) perturbation theory. Up to now, finite-energy GKP states have only been based on approximations employing a Gaussian envelope. This theoretical analysis has shown that introducing a Gaussian envelope is equivalent to applying a perturbation to the system, and it can also be characterized how wide the Gaussian envelope must be in order for the finite-energy GKP quantum state to remain intact. The manuscript for publication is currently being prepared. 

Currently, a lot of researchers attempt to create a fault-tolerant photonic-based quantum computer. The optical GKP quantum state is one of the candidates to create a fault-tolerant continuous variables (CV) photonic qubit. However, creating this GKP state is not easy. I am interested to investigate and characterize how to generate this state using Single-Photon Added SQZ theoretically

Here, I consider a single non-relativistic quantum particle confined to the surface of a cylinder with radius Ro and length L, inspired by Kaluza–Klein extra dimension. Additionally, I introduce an external potential resembling a Stark-like interaction along the cylinder’s axis, with a component that depends on the angular coordinate. Through this setup, I aim to investigate the implications of the added potential on the particle’s energy levels, and how these results might offer insights for probing extra dimensions using a simple system. 

In 1993, Nathan Rosen producing a theory of mass quantization that obtained from a set of Friedmann equation with the assumption of dust universe. I am interested to use his framework to explain the multi-miniverse that might be another way to explain what happens during inflation era