A comparative interpretation of the thermodynamic functions of a relativistic bound state problem proposed with an attractive or a repulsive surface effect

Lütfüoğlu, B. C.; Křı́ž, Jan

doi:10.1140/epjp/i2019-12401-1

Cited by 7 publications

(3 citation statements)

References 90 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, he compared the thermodynamic functions with excluding and including the surface effects in non-relativistic [69], and relativistic regimes [70]. In a very recent article, they presented the variance of the thermodynamic functions in the existence of attractive or repulsive surface interaction terms [71]. Besides these works, thermodynamic properties of molecules and dimers are examined in several articles by taking the vibrational and rotational partition functions into account [72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88].…”

Section: Introductionmentioning

confidence: 99%

“…[70] In a very recent article, they presented the variance of the thermodynamic functions in the existence of attractive or repulsive surface interaction terms. [71] Besides these works, thermodynamic properties of molecules and dimers are examined in several articles by taking the vibrational and rotational partition functions into account. [72−88] Our motivation is to determine the bound state solution of the energy-dependent deformed Hulthén potential in D-dimensional KG equation and discuss the corresponding thermodynamic functions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy*

Lütfüoğlu¹,

Ikot²,

Okorie³

et al. 2019

Commun. Theor. Phys.

Self Cite

View full text Add to dashboard Cite

In this article, we investigate the bound state solution of the Klein Gordon equation under mixed vector and scalar coupling of an energy-dependent deformed Hulthén potential in D-dimensions.We obtain a transcendental equation after we impose the boundary conditions. We calculate energy spectra in four different limits and in arbitrary dimension via the Newton-Raphson method. Then, we use a statistical method, namely canonical partition function, and discuss the thermodynamic properties of the system in a comprehensive way. We find out that some of the thermodynamic properties overlap with each other, some of them do not.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy*

Lütfüoğlu¹,

Ikot²,

Okorie³

et al. 2019

Commun. Theor. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…GSWSP energy is the generalization of the well-known WSP energy [26] by introducing surface interaction terms [27], and has been investigated in many research articles [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46].…”

mentioning

confidence: 99%

On the Role of Differentiation Parameter in a Bound State Solution of the Klein-Gordon Equation

Lütfüoğlu¹

2019

Commun. Theor. Phys.

Self Cite

View full text Add to dashboard Cite

Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalarvector generalized symmetric Woods-Saxon potential in one spatial dimension have been investigated. The obtained results reveal that in the spin symmetric limit discrete spectrum exists, while in the pseudo-spin symmetric limit it does not. In this manuscript, new insights and information are given by employing an analogy of the variational principle. The role of the difference of the magnitudes of the vector and scalar potential energies, namely the differentiation parameter, on the energy spectrum is examined. It is observed that the differentiation parameter determines the measure of the energy spectrum density by modifying the confined particle's mass-energy in addition to narrowing the spectrum interval length. PACS numbers: 03.65.Ge, 03.65.Pm Keywords: Klein-Gordon equation, generalized symmetric Woods-Saxon potential, bound state spectrum, spin symmetry limit, analytic solutions. In nuclear physics, the spin symmetry (SS) and pseudopsin symmetry (PSS) concepts, originally postulated by Smith et al. [1] and Bell et al. [2], were widely used to explain the nuclear structure dynamical phenomena [3-7]. The basics of these symmetries were explored comprehensively and the conclusion was that they depended on the existence of vector, V v , and scalar, V s , potential energies [8-10]. In 1997, Ginocchio revealed that PSS and SS occur with an attractive scalar and a repulsive vector potential energies that satisfy V v + gV s = ε − , V v − gV s = ε + conditions, respectively [10]. The Dirac equation (DE) was investigated by using various potential energies in the SS and PSS limits. For instance in the SS limit, Wei et al. obtained an approximate analytic bound state solution of the DE by employing the Manning-Rosen potential [11],the deformed generalized Pöschl-Teller potential [12] energies. Furthermore, in the same limit, they proposed a novel algebraic method to obtain the bound state solution of the DE with the second Pöschl-Teller potential energy [13]. In their other work, they examined the symmetrical well potential energy solutions in the DE within the exact SS limit [14].They contributed the field with important papers in the PSS limit too. For instance, they discussed an algebraic approach in the DE for the modified Pöschl-Teller potential energy [15]. Moreover, they applied the Pekeris-type approximation to the pseudo-centrifugal term and investigated the bound state solutions in the DE for Manning-Rosen potential [16] and modified Rosen-Morse potential [17] energies. Another relativistic equation, Klein-Gordon equation (KGE), also has been the subject of many scientific investigations in the SS and PSS limits. Ma et al. studied the D-dimensional KGE with a Coulomb potential in addition to a scalar potential [18]. Dong et al. obtained the exact bound state solution of the KGE with a ring-shaped potential in the SS limit [19]. Hassanabadi et al. studied the radial KGE for an Eckart and modified Hylleraas potential...

show abstract

Klein–Gordon Equation and Nonrelativistic Thermodynamic Properties with Improved Screened Kratzer Potential

et al. 2021

View full text Add to dashboard Cite

A comparative interpretation of the thermodynamic functions of a relativistic bound state problem proposed with an attractive or a repulsive surface effect

Cited by 7 publications

References 90 publications

A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy*

A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy*

On the Role of Differentiation Parameter in a Bound State Solution of the Klein-Gordon Equation

Klein–Gordon Equation and Nonrelativistic Thermodynamic Properties with Improved Screened Kratzer Potential

Contact Info

Product

Resources

About