The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential

被引:2
作者
Roshanzamir, Muhammad [1 ]
机构
[1] Shahrekord Univ, Fac Basic Sci, Dept Phys, Div Elementary Particles & Field Theory, Shahrekord, Iran
关键词
KLEIN-GORDON EQUATION; APPROXIMATE ANALYTICAL SOLUTIONS; A-STATE SOLUTIONS; SCHRODINGER-EQUATION; BOUND-STATES; RELATIVISTIC TREATMENT; QUANTIZATION RULE; DIRAC-EQUATION; SCATTERING; ENERGIES;
D O I
10.1155/2022/6621156
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The relativistic solutions of the Klein-Gordon equation comprising an interaction of the generalized inversely quadratic Yukawa potential mixed linearly with the hyperbolic Schioberg molecular potential is achieved employing the idea of parametric Nikiforov-Uvarov and the Greene-Aldrich approximation scheme. The energy spectra and the corresponding normalized wave functions are derived regarding the hypergeometric function in a closed form for arbitrary l-state. Numerical results of the energy eigenvalue are proposed. Moreover, special circumstances of this potential are reviewed, and their energy eigenvalues were assessed. Subsequently, the Tsallis entropy and Renyi entropy both in position and momentum spaces are defined under the desired potential. The impacts of these entropies on the angular momentum quantum number are explored in detail.
引用
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页数:12
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共 93 条
[1]   High temperature behavior of a two-parameter deformed quantum group fermion gas [J].
Algin, A ;
Arik, M ;
Arikan, AS .
PHYSICAL REVIEW E, 2002, 65 (02)
[2]   INFORMATION ENTROPY AND UNCERTAINTY IN D-DIMENSIONAL MANY-BODY SYSTEMS [J].
ANGULO, JC .
PHYSICAL REVIEW A, 1994, 50 (01) :311-313
[3]  
[Anonymous], 2014, Table of Integrals, Series, and Products
[4]   Exact Solutions of the Morse-like Potential, Step-Up and Step-Down Operators via Laplace Transform Approach [J].
Arda, Altug ;
Sever, Ramazan .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 58 (01) :27-30
[5]   Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit [J].
Aydogdu, Oktay ;
Sever, Ramazan .
ANNALS OF PHYSICS, 2010, 325 (02) :373-383
[6]   Correspondence between the q-deformed harmonic oscillator and finite range potentials -: art. no. 044307 [J].
Ballesteros, A ;
Civitarese, O ;
Reboiro, M .
PHYSICAL REVIEW C, 2003, 68 (04) :443071-443075
[7]   Exact analytical solutions to the Kratzer potential by the asymptotic iteration method [J].
Bayrak, O. ;
Boztosun, I. ;
Ciftci, H. .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2007, 107 (03) :540-544
[8]   The relativistic treatment of spin-0 particles under the rotating Morse oscillator [J].
Bayrak, O. ;
Soylu, A. ;
Boztosun, I. .
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (11)
[9]   SYMBOLIC DYNAMICS OF SUCCESSIVE QUANTUM-MECHANICAL MEASUREMENTS [J].
BECK, C ;
GRAUDENZ, D .
PHYSICAL REVIEW A, 1992, 46 (10) :6265-6276
[10]   Direct measurement of nonlinear properties of bipartite quantum states [J].
Bovino, FA ;
Castagnoli, G ;
Ekert, A ;
Horodecki, P ;
Alves, CM ;
Sergienko, AV .
PHYSICAL REVIEW LETTERS, 2005, 95 (24)