# Transmission time and resonant tunneling through barriers using localized quantum density soliton waves

## TL;DR

This paper investigates quantum density soliton waves passing through barriers, revealing their finite wavelength, resonant tunneling phenomena, and a new perspective on quantum indeterminacy.

## Contribution

It introduces a novel measure for tunneling time and links soliton wave behavior to quantum tunneling and flux quantization.

## Key findings

- Quantum density solitons have finite de Broglie wavelength.
- Resonant tunneling occurs for particles passing finite barriers.
- A new interpretation of quantum indeterminacy is proposed.

## Abstract

In this paper, the interaction and transmission time of quantum density solitons waves representing particles passing through finite barrier potentials is investigated. Using the conservation of energy and of quantum density, it is first demonstrated that these waves have finite de Broglie wavelength and represent particles in quantum theory. The passage of the quantum density solitons (particles) through barriers of finite energies is then shown to lead to the phenomena of resonant tunneling and, in Josephson-like configurations, to the quantization of magnetic flux. A precise general measure for barrier tunneling time is derived which is found to give a new interpretation of the quantum indeterminacy principles.