Analytical treatment of the oscillating Yukawa potential

作者：Bahlouli H; Abdelmonem M S; Al Marzoug S M^*

来源：Chemical Physics, 2012, 393(1): 153-156.

DOI：10.1016/j.chemphys.2011.12.002

• Bound states
• Resonances
• Yukawa potential
• J-matrix
• Complex scaling
• Exponential-cosine-screened Coulomb potential

Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix elements of the generalized Yukawa potential with a complex screening parameter. This enabled us to treat analytically both the cosine and sine-like Yukawa potentials on equal footing and compute their bound states spectrum as the eigenvalues of the associated analytical matrix representing their Hamiltonians. Finally we used a carefully designed complex scaling method to evaluate the resonance energies and compared our results satisfactorily with those obtained in the literature for the cosine-like Yukawa potential.

• 出版日期2012-1-17
• 单位中国石油大学（北京）