Schrodinger equation for classical particles

TL;DR

This paper introduces the hyperbolic Schrödinger equation (HS) for classical particles, derives its solution for a particle in a box, and discusses the mass dependence of the energy spectrum.

Contribution

It proposes a new hyperbolic form of the Schrödinger equation applicable to classical particles and analyzes its solutions and implications.

Findings

Energy spectrum becomes independent of particle mass for m > Mp.

Solution of HS for a particle in a box is obtained.

Mass dependence of energy spectrum varies with particle mass.

Abstract

In this paper we propose the hyperbolic Schredinger equation (HS). The solution of the HS for a particle in a box is obtained. It is shown that for particles with m greater of Mp the energy spectrum is independent of the mass of particle.