Approximate Ro-Vibrational Spectrum of the Modified Rosen–Morse Molecular Potential Using the Nikiforov–Uvarov Method

نویسندگان

  • Ali Akbar Rajabi
  • Majid Hamzavi
چکیده

In many fields of physics and chemistry, explicit analytical solutions of the fundamental dynamical equations are much valuable for a general understanding of phenomena, e. g. the role played by physical parameters. Two typical examples in quantum mechanics are the exact solutions of the Schrödinger equation (SE) for a hydrogen atom (Coulombic) and for a harmonic oscillator [1 – 3]. The Mie-type and pseudoharmonic potentials are also two exactly solvable potentials [4, 5]. Further, there are many potentials that are exactly solvable for zero angular momentum (i. e. l = 0). However, their analytic exact solutions can not be obtained for l 6= 0, and many authors have used various approximation schemes to solve these problems [6 – 23]. The modified Rosen–Morse potential (also called Scarf II type) [24, 25] is an exponential and anharmonic potential defined by

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تاریخ انتشار 2013