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

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...

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Main Authors: Ofir Flom, Asher Yahalom, Jacob Levitan, Haggai Zilberberg
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/3/312
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author Ofir Flom
Asher Yahalom
Jacob Levitan
Haggai Zilberberg
author_facet Ofir Flom
Asher Yahalom
Jacob Levitan
Haggai Zilberberg
author_sort Ofir Flom
collection DOAJ
description 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.
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spelling doaj.art-e88d8244ac844a32b9eceafffcca31022023-11-30T21:02:47ZengMDPI AGEntropy1099-43002022-02-0124331210.3390/e24030312Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential WellOfir Flom0Asher Yahalom1Jacob Levitan2Haggai Zilberberg3Department of Electrical & Electronic Engineering, Ariel University, Kiriat Hamata P.O. Box 3, Ariel 40700, IsraelDepartment of Electrical & Electronic Engineering, Ariel University, Kiriat Hamata P.O. Box 3, Ariel 40700, IsraelDepartment of Physics, Ariel University, Kiriat Hamata P.O. Box 3, Ariel 40700, IsraelIsrael Heritage Department, Ariel University, Kiriat Hamata P.O. Box 3, Ariel 40700, IsraelWe 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.https://www.mdpi.com/1099-4300/24/3/312quantum theorydouble potential wellphase-amplitude relationswave functionconditions of log analytical uncertainty
spellingShingle Ofir Flom
Asher Yahalom
Jacob Levitan
Haggai Zilberberg
Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well
Entropy
quantum theory
double potential well
phase-amplitude relations
wave function
conditions of log analytical uncertainty
title Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well
title_full Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well
title_fullStr Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well
title_full_unstemmed Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well
title_short Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well
title_sort phase amplitude relations for a particle with a superposition of two energy levels in a double potential well
topic quantum theory
double potential well
phase-amplitude relations
wave function
conditions of log analytical uncertainty
url https://www.mdpi.com/1099-4300/24/3/312
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AT asheryahalom phaseamplituderelationsforaparticlewithasuperpositionoftwoenergylevelsinadoublepotentialwell
AT jacoblevitan phaseamplituderelationsforaparticlewithasuperpositionoftwoenergylevelsinadoublepotentialwell
AT haggaizilberberg phaseamplituderelationsforaparticlewithasuperpositionoftwoenergylevelsinadoublepotentialwell