Contextual discussion of quantum mechanics in configuration space showing improved quantum-classical continuity via distinct classical mechanics formulation and avoidance of momentum inconsistency.
Quantum mechanics in configuration space in context
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abstract
To enhance the way in which wave-particle duality is implemented in the modelling of quantum mechanical systems, Bukhari et al. [New J. Phys. 27, 084501 (2025)] recently introduced an alternative approach to quantum mechanics, namely quantum mechanics in configuration space. This formalism is based on a physically motivated quantisation of Newtonian mechanics and promotes the classical position-velocity states (x,v) to pairwise distinguishable quantum states. The resulting |x,v> states form the basis of the Hilbert space of individual quantum mechanical particles and evolve along classical trajectories. In this paper, we consider the modelling of a mechanical particle in free space and put quantum mechanics in configuration space into context. It is shown that this formalism increases the continuity between quantum and classical mechanics by avoiding a conceptual inconsistency associated with the definition of momentum in canonical quantisation. In addition, we emphasise that standard quantum mechanics and quantum mechanics in configuration space are based on two distinct formulations of classical mechanics.
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quant-ph 1years
2026 1verdicts
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Quantum mechanics in configuration space in context
Contextual discussion of quantum mechanics in configuration space showing improved quantum-classical continuity via distinct classical mechanics formulation and avoidance of momentum inconsistency.