"Critical Velocity and the Transition from Non-Decoherence to Decoherence: The Concentration of Energy as a Mechanism for Quantum-to-Classical Transition"

Abstract:This thesis explores the relationship between the Schrödinger equation, which governs the quantum state of particles, and the critical velocity model proposed for understanding the transition from non-decoherence to decoherence in quantum systems. Specifically, we investigate how the increase in velocity leads to the concentration of energy in a particle, facilitating decoherence and the emergence of classical behavior. The critical velocity formula is introduced as a key mechanism that drives this transition, linking quantum dispersion of energy with classical localization. The thesis aims to unify thequantum mechanical description of particles with the classical behavior observed at higher velocities by examining how energy concentration induces decoherence