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Corpus ID: 250113426

A variational principle, wave-particle duality, and the Schr\"{o}dinger equation

@inproceedings{Chuprikov2022AVP,
title={A variational principle, wave-particle duality, and the Schr\"\{o\}dinger equation},
author={Nikolay L. Chuprikov},
year={2022}
}

. A principle is proposed according to which the dynamics of a quantum particle in a one-dimensional conﬁguration space (OCS) is determined by a variational problem for two functionals: one is based on the mean value of the Hamilton operator, while the second one is based on the mean value of the total energy of the particle, which is determined through the phase of the wave function with help of the generalized Planck-Einstein relation. The ﬁrst functional contains information about the… Expand

Schrodinger's equation can be considered as a diffusion equation with a diffusion coefficient β 2 = ℏ / 2 m. In this article, we explore the implications of this view. Rewriting the wave function in… Expand

Any classical-mechanics system can be formulated in reparametrization-invariant form. That is, we use the parametric representation for the trajectories, x=x(τ) and t=t(τ) instead of x=x(t). We… Expand