We apply an approximation to the centrifugal term and solve the two-body spinless-Salpeter equation （SSE） with the Yukawa potential via the supersymmetric quantum mechanics （SUSYQM） for arbitrary quantum numbers. ...We apply an approximation to the centrifugal term and solve the two-body spinless-Salpeter equation （SSE） with the Yukawa potential via the supersymmetric quantum mechanics （SUSYQM） for arbitrary quantum numbers. Useful figures and tables are also included.展开更多
In this paper we have solved the two-body spinless-Salpeter（SS） equation under the Coulomb and exponential type potentials. We have applied an approximation for the centrifugal term in our calculations. The energy e...In this paper we have solved the two-body spinless-Salpeter（SS） equation under the Coulomb and exponential type potentials. We have applied an approximation for the centrifugal term in our calculations. The energy eigenvalues and the corresponding eigenfunctions are reported by using the Laplace transform approach for any n, states.展开更多
The two-body Spinless Salpeter equation for the Woods-Saxon potential is solved by using the super- symmetry quantum mechanics （SUSYQM）. In our calculations, we have applied an approximation to the centrifugal barri...The two-body Spinless Salpeter equation for the Woods-Saxon potential is solved by using the super- symmetry quantum mechanics （SUSYQM）. In our calculations, we have applied an approximation to the centrifugal barrier. Energy eigenvalues and the corresponding eigenfunctions are computed for various values of quantum numbers n, I.展开更多
The exact solution of Spinless-Salpeter equation （SSE） in the presence of Kink-Like potential is in-vestigated. By using the basic concepts of the supersyrnmetric quantum mechanics （SUSYQM） formalism and the funct...The exact solution of Spinless-Salpeter equation （SSE） in the presence of Kink-Like potential is in-vestigated. By using the basic concepts of the supersyrnmetric quantum mechanics （SUSYQM） formalism and the functional analysis method, we have obtained the bound state solutions in the closed form and the eigenfunctions of the system are reported in the term of hypergeometric function. We have also reported some numerical results.展开更多
By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter （SS） equation with the Woods-Saxon interaction pote...By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter （SS） equation with the Woods-Saxon interaction potential for an arbitrary/-state. The analytical semi-relativistic bound-state energy eigenvalues and the corresponding wave functions are calculated. Two special cases from our solution are studied： the approximated SchrSdinger- Woods-Saxon problem for an arbitrary/-state and the exact s-wave （l=0）.展开更多
文摘We apply an approximation to the centrifugal term and solve the two-body spinless-Salpeter equation （SSE） with the Yukawa potential via the supersymmetric quantum mechanics （SUSYQM） for arbitrary quantum numbers. Useful figures and tables are also included.
文摘In this paper we have solved the two-body spinless-Salpeter（SS） equation under the Coulomb and exponential type potentials. We have applied an approximation for the centrifugal term in our calculations. The energy eigenvalues and the corresponding eigenfunctions are reported by using the Laplace transform approach for any n, states.
文摘The two-body Spinless Salpeter equation for the Woods-Saxon potential is solved by using the super- symmetry quantum mechanics （SUSYQM）. In our calculations, we have applied an approximation to the centrifugal barrier. Energy eigenvalues and the corresponding eigenfunctions are computed for various values of quantum numbers n, I.
文摘The exact solution of Spinless-Salpeter equation （SSE） in the presence of Kink-Like potential is in-vestigated. By using the basic concepts of the supersyrnmetric quantum mechanics （SUSYQM） formalism and the functional analysis method, we have obtained the bound state solutions in the closed form and the eigenfunctions of the system are reported in the term of hypergeometric function. We have also reported some numerical results.
文摘By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter （SS） equation with the Woods-Saxon interaction potential for an arbitrary/-state. The analytical semi-relativistic bound-state energy eigenvalues and the corresponding wave functions are calculated. Two special cases from our solution are studied： the approximated SchrSdinger- Woods-Saxon problem for an arbitrary/-state and the exact s-wave （l=0）.
