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Simulation Of Wave Function And Probability Density OfModified Poschl Teller Potential Derived UsingSupersymmetric Quantum Mechanics

机译:Dodified POSCHL讲台潜在衍生UsingSummetric量子力学的波函数和概率密度的模拟

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SUSY quantum mechanics can be applied to solve Schrodinger equation for high dimensional system that can be reduced into one dimensional system and represented in lowering and raising operators. Lowering and raising operators can be obtained using relationship between original Hamiltonian equation and the (super) potential equation. In this paper SUSY quantum mechanics is used as a method to obtain the wave function and the energy level of the Modified Poschl Teller potential. The graph of wave function equation and probability density is simulated by using Delphi 7.0 programming language. Finally, the expectation value of quantum mechanics operator could be calculated analytically using integral form or probability density graph resulted by the programming.
机译:SUSY量子力学可以应用于解决可以减少到一维系统的高尺寸系统的Schrodinger方程,并在降低和升高运营商中表示。可以使用原始Hamiltonian方程与(超)潜在方程之间的关系获得降低和提高操作员。在本文中,SUSY量子力学用作获得波浪功能的方法和改进的POSCHL柜员势的能量水平。使用Delphi 7.0编程语言模拟波函数方程和概率密度的图。最后,可以使用由编程产生的整体形式或概率密度图来分析计算量子力学操作员的期望值。

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