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Path integral approach to the D-dimensional quantum mechanics of the nonrelativistic Snyder–de Sitter model
International Journal of Modern Physics A ( IF 1.4 ) Pub Date : 2020-10-09 , DOI: 10.1142/s0217751x20501808
H. Benzair 1 , T. Boudjedaa 2 , M. Merad 3
Affiliation  

In the context of Snyder–de Sitter (SdS) algebra, we formulate the D-dimensional momentum space path integral transition amplitude for harmonic oscillator and free particle. The exact energy spectrum and the corresponding normalized radial momentum space eigenfunctions are obtained through the different quantum corrections rule.

中文翻译:

非相对论 Snyder-de Sitter 模型的 D 维量子力学的路径积分方法

在 Snyder-de Sitter (SdS) 代数的背景下,我们制定了谐振子和自由粒子的 D 维动量空间路径积分跃迁幅度。通过不同的量子校正规则得到精确的能谱和对应的归一化径向动量空间特征函数。
更新日期:2020-10-09
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