Место издания:Pacific National University, Khabarovsk
Первая страница:113
Последняя страница:120
Аннотация:We demonstrate that the harmonic oscillator basis can be generated by the Lanczos algorithm. We use this remarkable feature to formulate a formalism in quantum scattering theory utilizing an expansion of scattering wave functions in infinite series of oscillator functions. The continuum spectrum solutions of the Schr ̈odinger equation are found by means of Lanczos iterations. This formalism provides a possibility to extend a nuclear shell model, in particular, an ab initio no-core shell model, on a scattering domain.