New Exact Energy Eigen-Values for (Miqyh) and (Miqhm) Central Potentials: Non-Relativistic Solutions (original) (raw)

In this paper, we solved modified Schrödinger equat ion (MSE) for two potentials namely: modified inversely qua dr tic Yukawa potential plus inversely quadratic Hellmann potential (MIQYH) and modified inversely quadratic Hellmann plus Mie-type potential ( MIQHM), which are equal to the sum of inversely quadrati c Yukawa potential plus inversely quadratic Hellmann and inversely quadratic Hellmann plus Mietype potential, respectively, using a generalizatio n of Boopp’s shift method and standard perturbation theory instead of using directly star product method. We then obtaine d modified energy eigenvalues and corresponding modified Hamiltonians n both three dimensional non-commutative space an d phase ( NC-3D: RSP).