Turan, MehmetAdiguzel, Rezan SevinikCalisir, Ayse Dogan2024-04-252025-09-182024-04-252025-09-182021Çalışır, Ayşe D.; Turan, Mehmet; Adıgüzel, Rezan S. (2021). "Spectrum of the q-Schrödinger equation by means of the variational method based on the discrete q-Hermite I polynomials", International Journal of Modern Physics A, Vol.36, No.3.0217-751X1793-656Xhttps://doi.org/10.1142/S0217751X21500202https://hdl.handle.net/20.500.12416/10550In this work, the q-Schrodinger equations with symmetric polynomial potentials are considered. The spectrum of the model is obtained for several values of q, and the limiting case as q -> 1 is considered. The Rayleigh-Ritz variational method is adopted to the system. The discrete q-Hermite I polynomials are handled as basis in this method. Furthermore, the following potentials with numerous results are presented as applications: q-harmonic, purely q-quartic and q-quartic oscillators. It is also shown that the obtained results confirm the ones that exist in the literature for the continuous case.eninfo:eu-repo/semantics/closedAccessDiscrete Schrodinger EquationQ-Harmonic OscillatorRayleigh-Ritz Variational MethodDiscrete Q-Hermite I PolynomialsArticle10.1142/S0217751X215002022-s2.0-85100597979