Mohammad Saleh Chaharbashlooa , Abdolali Basir , Sajjad Rahmany , Saber Zarrinkamar
- Z. Naturforsch,DOI: 10.5560/ZNA.2013-0044 - , 68, 646 – 650 - August, 2013 - .
Publication year: 2013


We apply the Gröbner basis to the ansatz method in quantum mechanics to obtain the energy eigenvalues and the wave functions in a very simple manner. There are important physical potentials such as the Cornell interaction which play significant roles in particle physics and can be treated via this technique. As a typical example, the algorithm is applied to the semi-relativistic spinless Salpeter equation under the Cornell interaction. Many other applications of the idea in a wide range of physical fields are listed as well.