Quantization Analogy of Classical and Quantum Worlds as a Teaching Approach

Narasimhaiengar Mukunda

Marcelo Arlego, María de los Ángeles Fanaro, Lorenzo Galante

In this paper we present a proposal for teaching basic aspects of quantum mechanics in high school. Our proposal is based on a wave approach that makes use of the analogies between wave phenomena at macroscopic scales and phenomena at atomic or subatomic scales. Although the classical and the quantum model are completely different, there is a common underlying wave mathematical layer. This allows to address, via analogies, quantum aspects that are not accessible to direct experience. The quantization of energy levels, the quantum interference and the uncertainty relations are examples of quantum aspects having an analog concept in classical physics wave phenomena. In our approach we break the wave-particle “duality”, which is totally counterintuitive. Instead we enhance the underlying wave mathematical structure as a path to reach and explain emerging features of particles and quantum systems in general.

Marco Di Mauro, A. Drago, Adele Naddeo

Abstract Classical and quantum mechanics are two very different theories, each describing the world within its own range of validity. It is often stated that classical mechanics emerges from quantum mechanics in a certain limit. This is known as the correspondence principle. According to Planck’s version of the correspondence principle, classical mechanics is recovered when the limit in which a dimensionless parameter containing Planck’s constant h goes to zero is taken, while Bohr’s version entails taking the limit of large quantum numbers. However, despite what is usually stated in textbooks, the relation between the two theories is much more complex to state and understand. Here we deal with this issue by analysing some key examples, in some of which also the analogously subtle relation between wave and geometric optics is considered. Implications for quantum mechanics teaching at undergraduate level are carefully discussed.

Gerhard Grössing, Johannes Mesa Pascasio, Herbert Schwabl

Sir Nevill Mott

Earth Vitaly Shcherbak — Institution: Montenegro, San Francisco) Claude (Anthropic PBC

A companion note to "Evidence for the Many-Worlds Interpretation of Quantum Mechanics via Large Language Model Architecture" (10.5281/zenodo.20533902). Revisits the structural analogy between parallel LLM inference and Everettian branching honestly: identifies what the analogy illustrates well (shared origin, isolated states, irreversible branch selection) and where it breaks down as physics — chiefly, the analogy is externally observable in a way that MWI branches, by construction, cannot be.