The zeta functions for the Schr\"odinger equation with a triangular potential are investigated. Values of computed using both Weierstrass factorization theorem and analytic continuation via contour integration. results were found to be consistent where domains two methods overlap. Analytic is used compute values at zero negative integers, explore pole structure (and residue values), as well val...

По выбранной ортогональной последовательности полиномов $\{p_n(s)\}_{n=0}^{\infty}$, которая имеет дискретный спектр, строится энергетический спектр $E_k=f(s_k)$, где $\{s_k\}$ - точки конечного или бесконечного дискретного спектра полиномов. С помощью подхода к квантовой механике, который основан не на функциях потенциала, а ортогональных полиномах, зависящих от энергии, построена локальная чи...

To get a mole of a gas, it is necessary to calculate the intermolecular interaction. Theseintermolecular interactions can be depicted by drawing the potential energy of a pair molecule inrelation to the distance. The intermolecular potential energy surface in the mixtures of CH4-H2COgases from ab initio calculations has been explored. In ab initio calculations the basis setsuperposition error (...