Abstract
The oscillator basis is used to tridiagonalize the reference Hamiltonian, and the Pöschl-Teller (PT) potential matrix elements have been calculated using the Gauss quadrature approach. The bound and resonance state energies of the modified Pöschl-Teller (MPT) potential are calculated using the J-matrix method, for states with arbitrary quantum numbers and . Comparisons are made with the available literature data and excellent agreement is observed. The calculation is also carried out for molecular systems. Furthermore, the average oscillator strength, multipole moments and transition probabilities for certain states have been reported for future comparison. Some new states close to the crossover region are reported for guiding future studies.
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