One dimensional potentials in q space

TL;DR

This paper explores one-dimensional potentials in q space, revealing that tunneling probabilities are lower and tunneling times are shorter compared to ordinary space, indicating novel quantum behaviors.

Contribution

It introduces the concept of potentials in q space and demonstrates unique tunneling characteristics, such as reduced probability and faster tunneling times.

Findings

Tunneling probability in q space is lower than in ordinary space.

Tunneling time in q space is shorter than in ordinary space.

New features of quantum behavior in q space are identified.

Abstract

We study the one dimensional potentials in q space and the new features that arise. In particular we show that the probability of tunneling of a particle through a barrier or potential step is less than the one of the same particle with the same energy in ordinary space which is somehow unexpected. We also show that the tunneling time for a particle in q space is less than the one of the same particle in ordinary space.