ENERGY-DEPENDENT POTENTIAL AND NORMALIZATION OF WAVE FUNCTION

被引:21
作者
Benchikha, A. [1 ]
Chetouani, L. [1 ]
机构
[1] Univ Constantine 1, Dept Phys, Fac Sci Exactes, Constantine, Algeria
关键词
Energy-dependent potential; path integral; propagator;
D O I
10.1142/S021773231350079X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The problem of normalization related to energy-dependent potentials is examined in the context of the path integral approach, and a justification is given. As examples, the harmonic oscillator and the hydrogen atom (radial) where, respectively the frequency and the Coulomb's constant depend on energy, are considered and their propagators determined. From their spectral decomposition, we have found that the wave functions extracted are correctly normalized.
引用
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页数:12
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