Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well

Ofir Flom; Asher Yahalom; Jacob Levitan; Haggai Zilberberg

doi:10.3390/e24030312

Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well

Entropy (Basel). 2022 Feb 22;24(3):312. doi: 10.3390/e24030312.

Authors

Ofir Flom¹, Asher Yahalom^{1

2}, Jacob Levitan³, Haggai Zilberberg⁴

Affiliations

¹ Department of Electrical & Electronic Engineering, Ariel University, Kiriat Hamata P.O. Box 3, Ariel 40700, Israel.
² Center for Astrophysics, Geophysics, and Space Sciences (AGASS), Ariel University, Ariel 40700, Israel.
³ Department of Physics, Ariel University, Kiriat Hamata P.O. Box 3, Ariel 40700, Israel.
⁴ Israel Heritage Department, Ariel University, Kiriat Hamata P.O. Box 3, Ariel 40700, Israel.

Abstract

We study the connection between the phase and the amplitude of the wave function and the conditions under which this relationship exists. For this we use the model of particle in a box. We have shown that the amplitude can be calculated from the phase and vice versa if the log analytical uncertainty relations are satisfied.

Keywords: conditions of log analytical uncertainty; double potential well; phase-amplitude relations; quantum theory; wave function.