Upper and lower bounds to the Schrödinger equation eigenvalues
Francisco Marcelo Fernández · International Journal of Quantum Chemistry · 1990
Abstract A method is presented for obtaining rapidly convergent upper and lower bounds to the eigenvalues of the Schrödinger equation for one‐dimensional and central‐field models. The logarithmic derivative of the wave function is written as a Padé approximant and the bounds are obtained by simply counting the real zeroes of the denominator.