Variational Monte Carlo calculations of lithium atom in strong magnetic field

被引：11

作者：

Doma, S. B. ^{[1
]}

Shaker, M. O. ^{[2
]}

Farag, A. M. ^{[2
]}

El-Gammal, F. N. ^{[3
]}

机构：

[1] Univ Alexandria, Dept Math, Fac Sci, Alexandria 21526, Egypt

[2] Tanta Univ, Dept Math, Fac Sci, Tanta 31527, Egypt

[3] Menoufia Univ, Fac Sci, Dept Math, Shibin Al Kawm 32511, Egypt

来源：

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2017年 / 124卷 / 01期

关键词：

DIGITAL SKY SURVEY; GROUND-STATE; HELIUM ATOM; HYDROGEN-ATOM; WAVE-FUNCTIONS; ENERGY-LEVELS; HARTREE-FOCK; POSITIVE-ION; STRENGTH;

D O I：

10.1134/S1063776117010034

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The variational Monte Carlo method is applied to investigate the ground state and some excited states of the lithium atom and its ions up to Z = 10 in the presence of an external magnetic field regime with gamma = 0-100 arb. units. The effect of increasing field strength on the ground state energy is studied and precise values for the crossover field strengths were obtained. Our calculations are based on using accurate forms of trial wave functions, which were put forward in calculating energies in the absence of magnetic field. Furthermore, the value of Y at which ground-state energy of the lithium atom approaches to zero was calculated. The obtained results are in good agreement with the most recent values and also with the exact values.

引用

页码：1 / 9

页数：9

共 46 条

[31] Magnetic white dwarf stars in the Sloan Digital Sky Survey [J].

Kepler, S. O. ;

Pelisoli, I. ;

Jordan, S. ;

Kleinman, S. J. ;

Koester, D. ;

Kuelebi, B. ;

Pecanha, V. ;

Castanheira, B. G. ;

Nitta, A. ;

Costa, J. E. S. ;

Winget, D. E. ;

Kanaan, A. ;

Fraga, L. .

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2013, 429 (04) :2934-2944

[32] Highly accurate solution for a hydrogen atom in a uniform magnetic field [J].

Kravchenko, YP ;

Liberman, MA ;

Johansson, B .

PHYSICAL REVIEW LETTERS, 1996, 77 (04) :619-622

[33] Exact solution for a hydrogen atom in a magnetic field of arbitrary strength [J].

Kravchenko, YP ;

Liberman, MA ;

Johansson, B .

PHYSICAL REVIEW A, 1996, 54 (01) :287-305

[34] Analysis of hydrogen-rich magnetic white dwarfs detected in the Sloan Digital Sky Survey [J].

Kuelebi, B. ;

Jordan, S. ;

Euchner, F. ;

Gaensicke, B. T. ;

Hirsch, H. .

ASTRONOMY & ASTROPHYSICS, 2009, 506 (03) :1341-U554

[35] CALCULATIONS ON 2S GROUND STATE OF LITHIUM ATOM USING WAVE FUNCTIONS OF HYLLERAAS TYPE [J].

LARSSON, S .

PHYSICAL REVIEW, 1968, 169 (01) :49-&

[36] EQUATION OF STATE CALCULATIONS BY FAST COMPUTING MACHINES [J].

METROPOLIS, N ;

ROSENBLUTH, AW ;

ROSENBLUTH, MN ;

TELLER, AH ;

TELLER, E .

JOURNAL OF CHEMICAL PHYSICS, 1953, 21 (06) :1087-1092

[37] Fixed-phase correlation-function quantum Monte Carlo calculations for ground and excited states of helium in neutron-star magnetic fields [J].

Meyer, Dirk ;

Boblest, Sebastian ;

Wunner, Guenter .

PHYSICAL REVIEW A, 2013, 87 (03)

[38]

Papoulis A., 2002, PROBABILITY RANDOM V

[39]

Pottorf S., 1999, European Journal of Physics, V20, P205, DOI 10.1088/0143-0807/20/3/311

[40] Ground-state wave function and energy of the lithium atom [J].

Puchalski, M ;

Pachucki, K .

PHYSICAL REVIEW A, 2006, 73 (02)

← 1 2 3 4 5 →