arXiv subjects

Dogan Demirhan

Publications and source records attributed to Dogan Demirhan.

8 recordsLinked to original sources

arXiv2026

Analytical Solutions of the Generalized Klein-Gordon Oscillator in Som-Raychaudhuri Space-Time via the Extended Nikiforov-Uvarov Method

In this study, we present an analytical approach based on the extended Nikiforov-Uvarov method to solve the generalized Klein-Gordon oscillator in the presence of a uniform magnetic field within the Som-Raychaudhuri space-time. Exact eigenstate solutions are obtained for two distinct potential models, namely the linear potential and the Cornell potential. The corresponding energy eigenvalues are determined, and the associated eigenfunctions are analyzed and illustrated graphically.

quant-ph↗

arXiv2017

Analytical solution of local fractional Klein-Gordon equation for the generalized Hulthen potential

One dimensional Klein-Gordon (KG) equation is investigated in the domain of conformable fractional calculus for one dimensional scalar potential namely generalized Hulthen potential. The conformable fractional calculus is based on conformable fractional derivative which is the most natural definition in non integer order calculus. Fractional order differential equations can be solved analytically by means of this derivative operator. We obtained exact eigenvalue and eigenfunction solutions of local fractional KG equation and investigated the evolution of relativistic effects in correspondence with the fractional order.

math-ph↗

arXiv2016

Fractional differential and integral operations and cumulative processes

In this study the general formula for differential and integral operations of fractional calculus via fractal operators by the method of cumulative diminution and cumulative growth is obtained. The under lying mechanism in the success of traditional fractional calculus for describing complex systems is uncovered. The connection between complex physics with fractional differentiation and integration operations is established.

cond-mat.stat-mech↗

arXiv1998

Some Bounds upon Nonextensivity Parameter Using the Appropriate Generalized Distribution Functions

In this study, approximate generalized quantal distribution functions and their applications, which appeared in the literature so far, have been summarized. Making use of the generalized Planck radiation law, which have been obtained by the authors of the present manuscript [Physica A240 (1997) 657], some alternative bounds for the nonextensivity parameter $q$ has been estimated. It has been shown that these results are similar to those obtained by Tsallis et al. [Phys. Rev. E52 (1995) 1447] and by Plastino et al. [Phys. Lett. A207 (1995) 42].

cond-mat.stat-mech↗

arXiv1996

Comparison of the Standard Statistical Thermodynamics (SST) with the Generalized Statistical Thermodynamics (GST) Results for the Ising Chain

In this study, the internal energy and the specific heat of the one- dimensional Ising model obtained in the frame of the generalized statistical thermodynamics by Andrade [Physica A175 (1991) 285], have been extended somewhat and compared with the internal energy and the specific heat which have been calculated in the standard statistical thermodynamics.

cond-mat.stat-mech↗

arXiv1996

Generalized Tsallis Thermostatistics of Magnetic Systems

In this study, our effort is to introduce Tsallis thermostatistics in some details and to give a brief review of the magnetic systems which have been studied in the frame of this formalism.

cond-mat.stat-mech↗

arXiv1996

Generalized Distribution Functions and an Alternative Approach to Generalized Planck Radiation Law

In this study, recently introduced generalized distribution functions are summarized and by using one of these distribution functions, namely generalized Planck distribution, an alternative approach to the generalized Planck law for the blackbody radiation has been tackled.

cond-mat.stat-mech↗

arXiv1996

Generalization of the Mean-Field Ising Model Within Tsallis Thermostatistics

In this study, the mean-field Ising model, using the Bogolyubov inequality which has been obtained in the frame of the generalized statistics, has been investigated.

cond-mat.stat-mech↗