3 papers
quant-ph2025
An Algebraic-Recursive Approach to Generate Higher-Order Symmetry Operators for Schrödinger and Klein-Gordon equations
Enrique Casanova, Melvin Arias
This article explores an algebraic-recursive approach to construct differential operators that commute with a central operator in quantum mechanics. Starting from the Sch…
quant-ph2025
On the Schrödinger and Carroll Schrödinger Equations: Dualities and Applications
José Rojas, Enrique Casanova, Melvin Arias
We investigate precise structural relations between the standard Schrödinger equation and its Carrollian analogue-the Carroll-Schrödinger equation-in 1+1 dimensions, with emphasi…
quant-ph2025
On the Derivation of Equations of Motion from Symmetries in Quantum-Mechanical Systems via Heisenberg's Uncertainty
Enrique Casanova, José Rojas, Melvin Arias
We propose the construction of equations of motion based on symmetries in quantum-mechanical systems, using Heisenberg's uncertainty principle as a minimal foundation. From canonic…