Add to ORKGA shooting method was developed to study eigenvalue problems derived from Schrodinger equation. The challenging problem, the two-dimensional hydrogen system with the logarithmic potential function, was successfully solved by the shooting method. But no complete proof was given for its rationale and correctness. This paper not only gives the complete proof for the shooting method, but also generalizes it to solve a large class of eigenvalue problems. In a certain sense, the shooting method proves more effective numerically and more powerful theoretically than the classical functional analysis approach
This paper deals with computing eigenvalues of periodic Sturm-Liouville (SL) problem by direct integ...
International audienceIn 1926, Erwin Schrodinger wrote a series of papers that invented wave mechani...
International audienceIn 1926, Erwin Schrodinger wrote a series of papers that invented wave mechani...
AbstractTheshooting methodis a numerically effective approach to solving certain eigenvalue problems...
AbstractThe shooting method for solving regular two-point boundary value problems (TPBVPs) can also ...
For pedagogical purposes, numerical integration methods are applied to a simple eigenvalue problem i...
For pedagogical purposes, numerical integration methods are applied to a simple eigenvalue problem i...
For pedagogical purposes, numerical integration methods are applied to a simple eigenvalue problem i...
summary:A new method for computation of eigenvalues of the radial Schrödinger operator $-d^2/dx^2+v(...
summary:A new method for computation of eigenvalues of the radial Schrödinger operator $-d^2/dx^2+v(...
AbstractAn accurate method for the numerical solution of the eigenvalue problem of second-order ordi...
Quantum mechanics has about a dozen exactly solvable potentials. Normally, the time-independent Schr...
AbstractAn accurate method for the numerical solution of the eigenvalue problem of second-order ordi...
summary:In the present paper an effective method of the determination of the number of eigenvalues i...
summary:In the present paper an effective method of the determination of the number of eigenvalues i...
This paper deals with computing eigenvalues of periodic Sturm-Liouville (SL) problem by direct integ...
International audienceIn 1926, Erwin Schrodinger wrote a series of papers that invented wave mechani...
International audienceIn 1926, Erwin Schrodinger wrote a series of papers that invented wave mechani...
AbstractTheshooting methodis a numerically effective approach to solving certain eigenvalue problems...
AbstractThe shooting method for solving regular two-point boundary value problems (TPBVPs) can also ...
For pedagogical purposes, numerical integration methods are applied to a simple eigenvalue problem i...
For pedagogical purposes, numerical integration methods are applied to a simple eigenvalue problem i...
For pedagogical purposes, numerical integration methods are applied to a simple eigenvalue problem i...
summary:A new method for computation of eigenvalues of the radial Schrödinger operator $-d^2/dx^2+v(...
summary:A new method for computation of eigenvalues of the radial Schrödinger operator $-d^2/dx^2+v(...
AbstractAn accurate method for the numerical solution of the eigenvalue problem of second-order ordi...
Quantum mechanics has about a dozen exactly solvable potentials. Normally, the time-independent Schr...
AbstractAn accurate method for the numerical solution of the eigenvalue problem of second-order ordi...
summary:In the present paper an effective method of the determination of the number of eigenvalues i...
summary:In the present paper an effective method of the determination of the number of eigenvalues i...
This paper deals with computing eigenvalues of periodic Sturm-Liouville (SL) problem by direct integ...
International audienceIn 1926, Erwin Schrodinger wrote a series of papers that invented wave mechani...
International audienceIn 1926, Erwin Schrodinger wrote a series of papers that invented wave mechani...