Varshni-Hellmann势能本征值的确定
Determination of the Energy Eigenvalues of the Varshni-Hellmann Potential
AI总结:
本文通过ansatz方法求解Varshni-Hellmann势下Schrödinger方程的束缚态问题,获得了能量本征值和本征函数,并以图形展示了两体系统能谱行为,结果与精确数值高度吻合,验证了方法的有效性。
摘要:
本文通过一种有效技术求解了Varshni-Hellmann势的束缚态问题。在我们的技术中,通过ansatz方法获得了Varshni-Hellmann势下Schrödinger方程的束缚态解。我们求得了能量本征值及相应的本征函数。此外,还以图形方式展示了两体系统基态和激发态能谱的行为。我们的结果与精确数值的高度相似性表明了该技术的有效性。
英文摘要:
In this paper, we solve the bound state problem for Varshni-Hellmann potential via a useful technique. In our technique, we obtain the bound state solution of the Schrodinger equation for the Varshni-Hellmann potential via ansatz method. We obtain the energy eigenvalues and the corresponding eigen-functions. Also, the behavior of the energy spectra for both the ground and the excited state of the two body systems is illustrated graphically. The similarity of our results to the accurate numerical values is indicative of the efficiency of our technique.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。