Extension of Nikiforov-Uvarov method for the solution of Heun equation

Abstract

We report an alternative method to solve second order differential equations which have at most four singular points. This method is developed by changing the degrees of the polynomials in

Quantum field theory applications of heun type functions

“…This result is stated in the recent Ç iftçi et al paper [19]. Karayer et al [20] give a method that might give a polynomial solution only for zero eigenvalue. According to this method, the condition…”

“…These occur at discrete values of q and for negative integer α. More recent references to these conditions can be found in Fiziev [17,18], Ç iftçi et al [19], and Karayer et al [20].…”

“…Polynomial solutions of confluent Heun equation can be obtained if the parameters of the equation satisfy certain conditions [16][17][18][19][20]. We will show that our quantum field theory examples do not satisfy these conditions and hence they do not have polynomial solutions.…”

The zero mass limit of Kerr and Kerr-(anti) de Sitter space-times: revisited

“…The other solution is smooth at the origin. We find that these solutions may have polynomial solutions, since they satisfy the first criterion given in [14] for special values of frequency, if they also satisfy the second criterion [16,17]. We also write the reflection coefficient for waves coming from the cosmological horizon (dS) and from inifinity at the origin.…”

Calculation of the Approximate Energy of Ground and Excited Stationary States in Quantum Mechanics Using Delta Method

“…There are many methods for solving Schrodinger equation, i.e. perturbation theory [1], the variational method [1], and the WKB method [1], Supersymmetry quantum mechanics [2]- [6], Nikivorov-Uvarov method [7]- [9], Romanovski polynomials in quantum mechanics [10]- [12], etc. [12]- [23].…”