3 papers
quant-ph2025
A Proof of Generalized Kramers-Pasternack Relation using Hyper-Radial Equation
Avoy Jana
We present a proof of the generalized Kramers-Pasternack relation using the hyper-radial equation approach. Following Kramers' method, we manipulate the radial equation by multiply…
quant-ph2025
Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom
Avoy Jana
This paper presents a comprehensive analysis of the generalized radial uncertainty product for the d-dimensional non-relativistic Hydrogen atom in position space. Utilizing the fra…
quant-ph2025
Radial Uncertainty Product for Spherically Symmetric Potential in Position Space
Avoy Jana
This paper presents a detailed analysis of the radial uncertainty product for quantum systems with spherically symmetric potentials. Using the principles of quantum mechanics, the…