# Variational Monte Carlo calculations of lithium atom in strong magnetic field

## Abstract

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 γ = 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.

- Authors:

- Alexandria University, Mathematics Department, Faculty of Science (Egypt)
- Tanta University, Mathematics Department, Faculty of Science (Egypt)
- Menofia University, Mathematics Department, Faculty of Science (Egypt)

- Publication Date:

- OSTI Identifier:
- 22617100

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 124; Journal Issue: 1; Other Information: Copyright (c) 2017 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; COMPUTERIZED SIMULATION; EXCITED STATES; GROUND STATES; IONS; LITHIUM; MAGNETIC FIELDS; MONTE CARLO METHOD; VARIATIONAL METHODS; WAVE FUNCTIONS

### Citation Formats

```
Doma, S. B., E-mail: sbdoma@alexu.edu.eg, Shaker, M. O., Farag, A. M., and El-Gammal, F. N., E-mail: famta-elzahraa4@yahoo.com.
```*Variational Monte Carlo calculations of lithium atom in strong magnetic field*. United States: N. p., 2017.
Web. doi:10.1134/S1063776117010034.

```
Doma, S. B., E-mail: sbdoma@alexu.edu.eg, Shaker, M. O., Farag, A. M., & El-Gammal, F. N., E-mail: famta-elzahraa4@yahoo.com.
```*Variational Monte Carlo calculations of lithium atom in strong magnetic field*. United States. doi:10.1134/S1063776117010034.

```
Doma, S. B., E-mail: sbdoma@alexu.edu.eg, Shaker, M. O., Farag, A. M., and El-Gammal, F. N., E-mail: famta-elzahraa4@yahoo.com. Sun .
"Variational Monte Carlo calculations of lithium atom in strong magnetic field". United States.
doi:10.1134/S1063776117010034.
```

```
@article{osti_22617100,
```

title = {Variational Monte Carlo calculations of lithium atom in strong magnetic field},

author = {Doma, S. B., E-mail: sbdoma@alexu.edu.eg and Shaker, M. O. and Farag, A. M. and El-Gammal, F. N., E-mail: famta-elzahraa4@yahoo.com},

abstractNote = {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 γ = 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.},

doi = {10.1134/S1063776117010034},

journal = {Journal of Experimental and Theoretical Physics},

number = 1,

volume = 124,

place = {United States},

year = {Sun Jan 15 00:00:00 EST 2017},

month = {Sun Jan 15 00:00:00 EST 2017}

}