Quantum jump mechanics

TL;DR

This paper proposes a unified dynamic law using an integral wave equation with a path integral kernel to describe both quantum evolution and wave function collapse, highlighting collapse as a distinct transformation from Schrödinger evolution.

Contribution

It introduces a novel integral wave equation framework that accounts for wave function collapse as a fundamental transformation, differing from standard quantum mechanics.

Findings

Wave function collapse is a specific transformation distinct from Schrödinger evolution.

Collapse is caused by a local time derivative of potential energy, which is infinite.

The proposed formalism cannot be described by conventional quantum mechanics.

Abstract

The change with time of the system consisting of the quantum object and the macroscopic measuring instrument is described on the base of the uniform dynamic law, which is suitable both evolution and reduction processes description. It is the integral wave equation with kernel in the form of a path integral. It is shown, that wave function collapse is the specific transformation which is fundamentally differ from Shr\"odinger's evolution. Specifically, a formal cause of the collapse is a local time derivative (infinite large) of the potential energy. Such transformation can not be described using mathematical apparatus of conventional quantum mechanics.