The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms.By using the generalized parametric Nikiforov–Uvarov method,we obtain approximate analytical solutions of th...The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms.By using the generalized parametric Nikiforov–Uvarov method,we obtain approximate analytical solutions of the radial Schrödinger equation for the Yukawa potential.The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms.Some numerical results are presented and show that these results are in good agreement with those obtained previously by other methods.Also,we find the energy levels of the familiar pure Coulomb potential energy levels when the screening parameter of the Yukawa potential goes to zero.展开更多
Scattering solutions of two-body Spinless Salpeter Equation(SSE) are investigated in the center of mass frame with a repulsive, symmetric Hulth′en potential in one spatial dimension. Transmission and reflection coeff...Scattering solutions of two-body Spinless Salpeter Equation(SSE) are investigated in the center of mass frame with a repulsive, symmetric Hulth′en potential in one spatial dimension. Transmission and reflection coefficients are calculated and discussed.展开更多
文摘The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms.By using the generalized parametric Nikiforov–Uvarov method,we obtain approximate analytical solutions of the radial Schrödinger equation for the Yukawa potential.The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms.Some numerical results are presented and show that these results are in good agreement with those obtained previously by other methods.Also,we find the energy levels of the familiar pure Coulomb potential energy levels when the screening parameter of the Yukawa potential goes to zero.
文摘Scattering solutions of two-body Spinless Salpeter Equation(SSE) are investigated in the center of mass frame with a repulsive, symmetric Hulth′en potential in one spatial dimension. Transmission and reflection coefficients are calculated and discussed.