Application of the Sturm-Liouville theorem and shape invariance formalism to the Dirac equation with hyperbolic like potential

作者：Wei Gao Feng; Sun Guo Hua; Dong Shi Hai^*

来源：Applied Mathematics and Computation, 2012, 218(22): 11171-11176.

DOI：10.1016/j.amc.2012.04.074

• Sturm-Liouville theorem
• Shape invariance formalism
• Dirac equation
• Hyperbolic like potential

We use a simple algebraic formalism, i.e., based on the Sturm-Liouville theorem and shape invariance formalism, to study the energy spectra for Dirac equation with scalar and vector hyperbolic like potentials. The Rosen-Morse and Eckart potentials as typical models are performed to show the advantage of this method.

• 出版日期2012-7-15
• 单位西安文理学院