2020
DOI: 10.1007/s10909-020-02533-z
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Thermal Properties and Magnetic Susceptibility of Hellmann Potential in Aharonov–Bohm (AB) Flux and Magnetic Fields at Zero and Finite Temperatures

Abstract: In this research work, the Hellmann potential is studied in the presence of external magnetic and AB-flux fields. We solve the Schrodinger in the presence of these fields and the potential via the functional analysis approach (FAA). The energy equation and wave function of the system are obtained in closed form. The effect of the fields on the energy spectra of the system examined in details. It is found that the AB field performs better than the magnetic in its ability to remove degeneracy. Furthermore, the m… Show more

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Cited by 45 publications
(20 citation statements)
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“…In recent times, researchers have paid great attention to solving the SE with various potential models, because it contains all the necessary information about the system. A number of researchers have carried out research in this direction [11][12][13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%
“…In recent times, researchers have paid great attention to solving the SE with various potential models, because it contains all the necessary information about the system. A number of researchers have carried out research in this direction [11][12][13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%
“…In our study, the energy eigenvalues of the Energy Dependent Generalized Inverse Quadratic Yukawa Potential (EDGIQYP) model were computed using (31), for different values of the energy slope parameters given( ) which are presented in Table I-IV in 3D. When = 0 , the energy equation (31) reduces to the Energy for Generalized Inverse Quadratic Yukawa Potential (EDGIQYP) model, and the corresponding numerical eigenvalues presented in Tables I-IV for = 0 agrees perfectly with the result presented in Table 1 of [18] in the absence of the energy dependence.…”
Section: Discussionmentioning
confidence: 99%
“…Before starting our study, it is interesting to mention that in the current literature several interesting work discussing the thermodynamic properties of quantum systems has emerged in recent years. Among these works, we have studies of thermal properties of diatomic molecules in the presence of external magnetic fields [53], study of Denf–Fan–Eckart model [54], study of magnetic susceptibility of the Hellman potential in Aharanov–Bohm flux with finite temperature [55], study thermal of the Poschl–Teller model [56], study thermal on potential pseudo‐harmonic subject models in external fields [57], among others.…”
Section: Thermodynamic Propertiesmentioning
confidence: 99%