Enhancing wave-particle duality

• URL: http://arxiv.org/abs/2503.20077v2
• Date: Mon, 14 Jul 2025 20:43:54 GMT
• Title: Enhancing wave-particle duality
• Authors: Arwa Bukhari, Daniel Hodgson, Sara Kanzi, Robert Purdy, Almut Beige,
• Abstract summary: We quantise mechanical point particles in this paper in the same physically-motivated way as we previously quantised light in quantum electrodynamics.<n>To identify the relevant Hilbert space, we notice that mechanical particles can occupy any position x while moving at any velocity v.<n>We demand that these evolve according to Newton's equations of motion.<n>The resulting quantum theory is mass-independent, when Newton's equations of motion are mass-independent.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: To enhance the consistency between the quantum descriptions of waves and particles, we quantise mechanical point particles in this paper in the same physically-motivated way as we previously quantised light in quantum electrodynamics [Bennett et al., Eur. J. Phys. 37, 014001 (2016)]. To identify the relevant Hilbert space, we notice that mechanical particles can occupy any position x while moving at any velocity v. Afterwards, we promote the classical states (x,v) to pairwise orthogonal quantum states |x,v> and demand that these evolve according to Newton's equations of motion. The resulting quantum theory is mass-independent, when Newton's equations of motion are mass-independent, as one would expect. The basic formulation of quantum mechanics emerges from quantum mechanics in configuration space as a semi-classical approximation when a fixed mass is imposed and several other adjustments are made.

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