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Optical rectification and absorption coefficients studied by a short-range topless exponential potential well with
Qiucheng Yu1,2,3, Kangxian Guo4,5, Meilin Hu1,2,3
1Department of Physics, School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, 510006, China.
Scientific Reports
|February 21, 2019
Summary
This study introduces a novel potential energy model to solve Schrödinger equations. The research explores optical rectification and absorption coefficients, revealing regular changes with this special potential.
Area of Science:
- Quantum Mechanics
- Condensed Matter Physics
- Nonlinear Optics
Background:
- Solving the Schrödinger equation is fundamental in quantum mechanics.
- Understanding optical properties like optical rectification and absorption is crucial in materials science.
Purpose of the Study:
- To introduce a topless potential energy model with an inverse square root.
- To analyze the energy spectrum and bound state wave functions.
- To investigate the behavior of optical rectification and absorption coefficients.
Main Methods:
- Coordinate variation method applied to the static Schrödinger equation.
- Utilizing confluent hypergeometric functions.
- Analyzing optical rectification and absorption coefficients under varying energy intervals and matrix elements.
Main Results:
- The introduced potential energy model successfully solves the energy spectrum equations.
- Regular changes in optical rectification and absorption coefficients were observed.
- The study explores the influence of energy intervals and matrix elements on these optical properties.
Conclusions:
- The topless inverse square root potential offers a viable method for solving quantum mechanical problems.
- This model provides insights into the optical characteristics of materials.
- Further exploration of factors influencing optical rectification and absorption is warranted.
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