ACCOUNTING OF TUNNELING EFFECTS WHEN CALCULATING THE ENERGY SPECTRUM OF THE SCHRODINGER EQUATION

被引:0
|
作者
Belyaeva, I. N. [1 ]
Chekanov, N. A. [1 ]
Kirichenko, I. K. [2 ]
Chekanova, N. N. [3 ]
机构
[1] Belgorod Natl Res Univ, Dept Comp Sci Nat Sci & Teaching Methods, Belgorod, Russia
[2] Natl Univ Civil Def Ukraine, Dept Phys & Math Sci, Kharkov, Ukraine
[3] Univ Banking, Kharkiv Educ & Res Inst Higher Educ Inst, Kharkov, Ukraine
关键词
ordinary differential equation; energy spectrum; wave function; generalized power series;
D O I
10.26456/pcascnn/2019.11.291
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The general scheme of the method for integrating second-order differential equations in the form of power series is presented. The obtained results for the Schrodinger equation with potentials with two and three minima for quantum anharmonic oscillators are presented. The necessary accuracy of calculations is controlled by the number of terms in the power series and the number of digits in the mantissa of decimal numbers. The structure of the energy levels and wave functions are shown.
引用
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页码:291 / 297
页数:7
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