通过使用改进的罗森-莫尔斯电位,精确估计二原子分子的振动能量
1Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shibin El Kom, 32511, Menoufia, Egypt.
Scientific reports
|July 18, 2023
概括
本研究提出了新的解决方案,用于D维的施罗丁格方程使用分数导数和改进的罗森-莫尔斯潜力. 分数顺序显著影响二原子分子的振动能量水平,改善对实验数据的匹配.
科学领域:
- 量子力学就是量子力学.
- 分子物理学 分子物理学
- 数学物理学的数学物理.
背景情况:
- 施罗丁格方程是量子力学的基础.
- 研究分子潜力和能量光谱对于理解化学键和分子行为至关重要.
- 分数计算为模拟复杂的物理系统提供了先进的工具.
研究的目的:
- 通过使用一般化的分数导数来推导D维的施罗丁格方程与改进的罗森-莫尔斯电位 (IRMP) 的分析解决方案.
- 将这些解决方案应用于二原子分子 (DM) 并分析它们的振动能量谱.
- 评估分数顺序对分子建模准确性的影响.
主要方法:
- 应用广义分数尼基福罗夫-乌瓦罗夫方法.
- 在D维度中离心项的Pekeris类型近似.
- 模拟各种二原子分子的潜在能量曲线和振动光谱.
- 与实验Rydberg-Klein-Rees (RKR) 数据进行比较.
主要成果:
- 用分数参数推导的能量固有值和波函数的分析表达式.
- IRMP成功地复制了DMs的潜在能量曲线.
- 分数解决方案与普通解决方案相比,与观察到的RKR数据显示出更高的一致性.
- 分数顺序显然影响DMs的振动能量水平.
结论:
- 拟议的方法为D维的施罗丁格方程提供了准确的分析解决方案.
- 分数计算显著提高了二原子分子振动谱的建模.
- 改进的罗森-莫尔斯潜力是模拟二元原子分子RKR数据的合适模型.
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