Scaling behaviour of the Hellmann potential with different strength parameters

被引：8

作者：

Nasser, I. ^{[1
]}

Abdelmonem, M. S. ^{[2
]}

Abdel-Hady, Afaf ^{[3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Phys, Dhahran 31261, Saudi Arabia

[2] King Fahd Univ Petr & Minerals, Dept Phys, ACHB, Hafar al Batin, Saudi Arabia

[3] El Asher Univ, Dept Phys, Fac Engn, El Asher City, Egypt

来源：

MOLECULAR PHYSICS | 2014年 / 112卷 / 19期

关键词：

Hellmann potential; eigenvalues; critical parameter; J-matrix method; scaling; phase transitions; COMPUTATION;

D O I：

10.1080/00268976.2014.899403

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We are reporting the scaling behaviour of the bound state energies associated with the Hellmann potential, with different strength parameters, using the Laguerre basis. We show the existence of a crossover phenomenon for the energy spectrum; the scaling laws for bound states as we approach the continuum are calculated. Close to the bound-resonance phase transition region, state energies and wavefunctions for the Hellmann potential, with different strength parameters, have been studied.

引用

页码：2608 / 2613

页数：6

共 21 条

[1] Computation of bound states for 2D potentials using discrete basis [J].

Al-Marzoug, S. M. ;

Bahlouli, H. ;

Abdelmonem, M. S. .

MOLECULAR PHYSICS, 2013, 111 (08) :968-974

[2] Quantum criticality analysis by finite-size scaling and exponential basis sets [J].

Alharbi, Fahhad H. ;

Kais, Sabre .

PHYSICAL REVIEW E, 2013, 87 (04)

[3]

Binney J, 1992, The Theory of Critical Phenomena

[4]

An Introduction to the Renormalization Group

[5]

Goldenfeld Nigel, 1992, Lectures on Phase Transitions and the Renormalization Group

[6] NEW L2 APPROACH TO QUANTUM SCATTERING - THEORY [J].

HELLER, EJ ;

YAMANI, HA .

PHYSICAL REVIEW A, 1974, 9 (03) :1201-1208

[7] Metallic binding according to the combined approximation procedure [J].

Hellmann, H ;

Kassatotschkin, W .

JOURNAL OF CHEMICAL PHYSICS, 1936, 4 (05) :324-325

[8]

Hellmann H, 1935, ACTA PHYSICOCHIM URS, V1, P913

[9] Quantum critical phenomena and stability of atomic and molecular ions [J].

Kais, S ;

Serra, P .

INTERNATIONAL REVIEWS IN PHYSICAL CHEMISTRY, 2000, 19 (01) :97-121

[10] FINITE-SIZE SCALING FOR ATOMIC AND MOLECULAR SYSTEMS [J].

Kais, Sabre ;

Serra, Pablo .

ADVANCES IN CHEMICAL PHYSICS, VOL 125, 2003, 125 :1-99

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