Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method

Details Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method

2012-03-08

arxiv.org/abs/1203.1736v2

J. Math. Phys. 52 (2011) 122108

Physics

Mathematical Physics

15 pages, 4 figures. arXiv admin note: text overlap with arXiv:0711.4899

Scientific paper

10.1063/1.3671640

A nonpolynomial one-dimensional quantum potential in the form of an isotonic oscillator (harmonic oscillator with a centripetal barrier) is studied. We provide the non-relativistic bound state energy spectrum E_{n} and the wave functions {\psi}_{n}(x) in terms of the associated Laguerre polynomials in the framework of the Nikiforov-Uvarov method. Under the spin and pseudospin symmetric limits, the analytic eigenvalues and the corresponding two-component upper- and lower-spinors of the Dirac particle are obtained, in closed form.

Affiliated with

Also associated with

No associations

Rating

Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17039