On the number of bound states for the one-dimensional Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Numerical solution for one-dimensional independent of time Schrödinger Equation
In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...
متن کاملOn the number of bound states for the one-dimensional Schrödinger equation
The number of bound states of the one-dimensional Schrödinger equation is analyzed in terms of the number of bound states corresponding to ‘‘fragments’’ of the potential. When the potential is integrable and has a finite first moment, the sharp inequalities 12p1( j51 p N j<N<( j51 p N j are proved, where p is the number of fragments, N is the total number of bound states, and N j is the number ...
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in this paper, one of the numerical solution method of one- particle, one dimensional timeindependentschrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function v(x).for each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. the paper ended with a comparison ...
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15 صفحه اولInvestigation of analytical and numerical solutions for one-dimensional independent-oftime Schrödinger Equation
In this paper, the numerical solution methods of one- particale, one – dimensional time- independentSchrodinger equation are presented that allows one to obtain accurate bound state eigen values andeigen functions for an arbitrary potential energy function V(x). These methods included the FEM(Finite Element Method), Cooly, Numerov and others. Here we considered the Numerov method inmore details...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1998
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532510