Research On Linear Potential Model and Its Application

Zhenggang Zhou

doi:10.54097/1zwmdk05

Authors

Zhenggang Zhou

DOI:

https://doi.org/10.54097/1zwmdk05

Keywords:

Linear potential; Airy function; Energy level; Wave functions.

Abstract

This paper presents the results of research on the linear potential model. Firstly, the linear potential model is derived theoretically, and the unilateral and symmetric cases are discussed. The exact solutions, which are based on the Airy function, for both cases are obtained. By changing the mapping parameters, the author makes a comparative analysis between the curves of the wave functions, and the obtained results are consistent with the theoretical model. Next, the author analyzes the application of linear potential model in experimental control condition and talks about the application of simplification in theoretical model construction. To this end, four specific examples are selected to demonstrate the important role of linear potential. These include the study of neutron regulation in gravity field, the Stark effect formation in electric field, the one-dimensional Bose gas regulation in quantum chromodynamics, and the linear regulation of quantum dots and quark correlation model. Finally, the author also makes a prediction and prospect of the possible application of linear potential.

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