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quant-ph2025
On the Dynamics of Multiparticle Carroll-Schrdinger Quantum Systems
José Rojas, Melvin Arias
We study the dynamics of multiparticle Carroll-Schrödinger (CS) quantum systems in dimensions, where acts as the evolution variable and as the configuration coordin…
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 emphasis…
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…