4 papers
From Wave Scattering to Bloch Bands: A Time-Domain Approach to Band Formation in Periodic Media
Nishant Kashyap, Amit Tanwar, Vivek T. Ramamoorthy +1
Band formation in periodic media is a central topic in undergraduate solid-state physics, typically introduced through Bloch's theorem as an eigenvalue problem in reciprocal space…
From Fermat's Principle to Physics-Informed Neural Networks: A Unified Computational Approach to Variational Physics
Aman Razdan, Aditya Shankar Mazumdar, Amit Tanwar +1
Variational principles are a unifying mathematical framework across many areas of physics, yet their instruction at the undergraduate level remains primarily analytical. This work…
Rovibrational Spectroscopy of Diatomic Molecules in a Modified Morse Potential using Nikiforov-Uvarov Functional Analysis
Raghav Sharma, Pragati Ashdhir, Amit Tanwar
The radial time-independent Schrödinger equation is solved for the diatomic molecules: H2, LiH, HCl, CO, VH, CrH, CuLi, TiC, NiC, and ScN using the recently developed Nikiforov-Uva…
An exploration of the phonon frequency spectrum and Born-von Karman periodic boundary conditions in 1D and 2D Lattice systems using a computational approach
Jeet Shannigrahi, Pragati Ashdhir
The concept of periodic boundary conditions (PBCs) is immensely significant in treating an ideal lattice of infinite extent as a finite lattice. An explicit usage of PBCs is often…