Article
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Wave Function and Information
Version 1
: Received: 2 May 2024 / Approved: 3 May 2024 / Online: 3 May 2024 (07:06:54 CEST)
A peer-reviewed article of this Preprint also exists.
Chiatti, L. Wave Function and Information. Quantum Rep. 2024, 6, 231-243. Chiatti, L. Wave Function and Information. Quantum Rep. 2024, 6, 231-243.
Abstract
Two distinct measures of information, connected respectively to the amplitude and phase of the wave function of a particle, are proposed. There are relations between the time derivatives of these two measures and their gradients on the configuration space, which are equivalent to the wave equation. The information related to the amplitude measures the strength of the potential coupling of the particle (which is itself aspatial) with each volume of its configuration space, i.e. its tendency to participate in an interaction localized in a region of ordinary physical space corresponding to that volume. The information connected to the phase is that required to obtain the time evolution of the particle as a persistent entity starting from a random succession of bits. It can be considered as the information provided by conservation principles. The meaning of the so-called "quantum potential" in this context is briefly discussed.
Keywords
Information; nature of the wave function; Schrödinger equation; quantum particle; quantum potential
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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