This paper shows a numerical study of the time-independent Schrödinger equation in one dimension using finite difference methods. We analyze bound states in infinite and finite square wells and explore quantum tunneling through potential barriers. We include a full Python implementation and generate labeled figures illustrating wavefunctions and energy levels for each case. The results offer a visually and quantitatively rich understanding of quantum confinement and tunneling.

This paper explores the Buddhist doctrine of anattā (no-self) and how it fundamentally challenges Western philosophical understandings of identity. By comparing these views, I examine how the idea of no-self impacts metaphysical, psychological, and ethical understandings of identity in the West, and suggests ways the two traditions can inform one another.

CRISPR-Cas9 is a revolutionary tool that allows scientists to edit DNA with precision. This paper explores how CRISPR-Cas9 functions in E. coli, how to design effective guide RNAs, and how to avoid and detect off-target effects. We discuss various experimental approaches, analyze editing efficiency, and outline future directions for improving CRISPR-based bacterial genome editing.

This paper investigates the relationship between minimum wage increases and teenage employment in the United States using state-level panel data from 2010 to 2020. Using visual analysis, regression techniques, and supplemental research, we find a modest negative correlation between minimum wage hikes and teen employment rates in California and New York, while Texas, with a constant minimum wage, showed relatively stable teen employment. We also consider alternative explanations and policy implications, while acknowledging data limitations and suggesting directions for future research.