In the framework
of the variational Monte Carlo method, the ground states of the lithium atom
and lithium like ions up to Z = 10 in an external strong magnetic field are evaluated. Furthermore,
the two low-lying excited states？,
References
[1]
Felber, F.S., Malley, M.M., Wessel, F.J., Matzen, M.K., Palmer, M.A., Spielman, R.B., Liberman, M.A. and Velikovich, A.L. (1988) Compression of Ultrahigh Magnetic Fields in a Gas-Puff Z Pinch. Physics of Fluids, 31, 2053.
https://doi.org/10.1063/1.866657
[2]
Ruder, H., Wunner, G., Herold, H. and Geyer, F. (1994) Atoms in Strong Magnetic Fields. Springer, Berlin. https://doi.org/10.1007/978-3-642-78820-8
[3]
Stier, A.V., McCreary, K.M., Jonker, B.T., Kono, J. and Crooker, S.A. (2016) Exciton Diamagnetic Shifts and Valley Zeeman Effects in Monolayer WS2 and MoS2 to 65 Tesla. Nature Communications, 7, Article No. 10643.
https://doi.org/10.1038/ncomms10643
[4]
Lai, D. (2001) Matter in Strong Magnetic Fields. Reviews of Modern Physics, 73, 629-661. https://doi.org/10.1103/RevModPhys.73.629
[5]
Makishima, K. (2016) X-Ray Studies of Neutron Stars and Their Magnetic Fields. Proceedings of the Japan Academy, Series B: Physical and Biological Sciences, 92, 135-155. https://doi.org/10.2183/pjab.92.135
[6]
Böer, K.W. and Pohl, U.W. (2018) Semiconductor Physics: Excitons. Springer International Publishing AG, Berlin, 485-525.
https://doi.org/10.1007/978-3-319-69150-3_14
[7]
Doma, S.B., Shaker, M.O., Farag, A.M. and El-Gammal, F.N. (2017) Variational Monte Carlo Calculations of Lithium Atom in Strong Magnetic Field. Journal of Experimental and Theoretical Physics, Atoms, Molecules and Optics, 124, 1-9.
https://doi.org/10.1134/S1063776117010034
[8]
Rösner, W., Wunner, G., Herold, H. and Ruder, H. (1984) Hydrogen Atoms in Arbitrary Magnetic Fields. I. Energy Levels and Wavefunctions. Journal of Physics B: Atomic and Molecular Physics (1968-1987), 17, 29.
https://doi.org/10.1088/0022-3700/17/1/010
[9]
Ivanov, M.V. (1988) The Hydrogen Atom in a Magnetic Field of Intermediate Strength. Journal of Physics B: Atomic, Molecular and Optical Physics, 21, 447-462.
https://doi.org/10.1088/0953-4075/21/3/013
[10]
Jordan, S., Schmelcher, P., Becken, W. and Schweizer, W. (1998) Evidence for Helium in the Magnetic White Dwarf GD229. Astronomy and Astrophysics, 336, L33-L36.
[11]
Kravchenko, Y.P., Liberman, M.A. and Johansson, B. (1996) Exact Solution for a Hydrogen Atom in a Magnetic Field of Arbitrary Strength. Physical Review A, 54, 287-305. https://doi.org/10.1103/PhysRevA.54.287
[12]
Kravchenko, Y.P., Liberman, M.A. and Johansson, B. (1996) Highly Accurate Solution for a Hydrogen Atom in a Uniform Magnetic Field. Physical Review Letters, 77, 619-622. https://doi.org/10.1103/PhysRevLett.77.619
[13]
Thurner, G., Korbel, H., Braun, M., Herold, H., Ruder, H. and Wunner, G. (1993) Hartree-Fock Calculations for Excited States of Two-Electron Systems in Strong Magnetic Fields. Journal of Physics B: Atomic, Molecular and Optical Physics, 26, 4719. https://doi.org/10.1088/0953-4075/26/24/007
[14]
Doma, S.B., El-Gendy, H.S., Abdel-Khalek, M.A. and Hejazi, M.M. (2020) The Ground State of the Lithium Atom in Dense Plasmas Using Variational Monte Carlo Method. Indian Journal of Physics. https://doi.org/10.1007/s12648-020-01920-2
[15]
Doma, S.B., El-Gendy, H.S., Abdel-Khalek, M.A. and Mohamed, M.E. (2020) Ground State of Beryllium Atom Using Variational Monte Carlo Method. Acta Physica Polonica A, 138, 838-843. https://doi.org/10.12693/APhysPolA.138.838
[16]
Doma, S.B., Shaker, M.O., Farag, A.M. and El-Gammal, F.N. (2014) Ground States of Helium Atom and Hydrogen Negative Ion in the Presence of Magnetic Field Using Variational Monte Carlo Technique. Acta Physica Polonica A, 126, 700.
https://doi.org/10.12693/APhysPolA.126.700
[17]
Doma, S.B. and El-Gammal, F.N. (2012) Atomic Properties of the Two-Electron System Using Variational Monte Carlo Technique. Acta Physica Polonica A, 122, 42-48. https://doi.org/10.12693/APhysPolA.122.42
[18]
Doma, S.B. and El-Gammal, F.N. (2012) Application of Variational Monte Carlo Method to the Confined Helium Atom. Journal of Theoretical and Applied Physics, 6, 28. https://doi.org/10.1186/2251-7235-6-28
[19]
Doma, S.B., El-Gammal, F.N. and Amer, A.A. (2018) Ground-State Calculations of Confined Hydrogen Molecule H2 Using Variational Monte Carlo Method. Molecular Physics, 116, 1827. https://doi.org/10.1080/00268976.2018.1459000
[20]
Doma, S.B., El-Gammal, F.N. and Amer, A.A. (2016) Ground State Calculations of the Confined Molecular Ions and HeH++ Using Variational Monte Carlo Method. Canadian Journal of Physics, 94, 1. https://doi.org/10.1139/cjp-2015-0182
[21]
Doma, S.B., Abu-Shady, M.M., El-Gammal, F.N. and Amer, A.A. (2016) Ground States of the Hydrogen Molecule and Its Molecular Ion in the Presence of a Magnetic Field Using the Variational Monte Carlo Method. Molecular Physics, 114, 1787-1793. https://doi.org/10.1080/00268976.2016.1154198
[22]
Larson, S. (1968) Calculations on the 2S Ground State of the Lithium Atom Using Wave Functions of Hylleraas Type. Physical Review, 169, 49.
https://doi.org/10.1103/PhysRev.169.49
[23]
Ruiz, M.B. (2005) Hylleraas Method for Many Electrons Atom. 1. The Hamiltonian. International Journal of Quantum Chemistry, 101, 246-260.
https://doi.org/10.1002/qua.20197
[24]
Bajdich, M. and Mitas, L. (2009) Electronic Structure Quantum Monte Carlo. Acta Physica Slovaca, 59, 81-168. https://doi.org/10.2478/v10155-010-0095-7
[25]
Al-Hujaj, O.A. and Schmelcher, P. (2003) Electromagnetic Transitions of the Helium Atom in Superstrong Magnetic Fields. Physical Review A, 68, Article ID: 053403.
https://doi.org/10.1103/PhysRevA.68.053403
[26]
Puchalski, M. and Pachucki, K. (2006) Ground-State Wave Function and Energy of the Lithium Atom. Physical Review A, 73, Article ID: 022503.
https://doi.org/10.1103/PhysRevA.73.022503
[27]
Ruenn Su, D. (1989) Announcements. Chinese Journal of Physics, 27, 157-158.
https://doi.org/10.1111/j.2041-6962.1989.tb00481.x
[28]
Becken, W., Schmelcher, P. and Diakonos, F.K. (1999) The Helium Atom in a Strong Magnetic Field. Journal of Physics B: Atomic, Molecular and Optical Physics, 32, 1557. https://doi.org/10.1088/0953-4075/32/6/018
[29]
Snajdr, M. and Rothstein, S.M. (2000) Are Properties Derived from Variance-Optimized Wave Functions Generally More Accurate? Monte Carlo Study of Non-Energy-Related Properties of H2, He, and LiH. The Journal of Chemical Physics, 112, 4935.
https://doi.org/10.1063/1.481047
[30]
Wang, X.F. and Qiao, H.X. (2008) Configuration-Interaction Method with Hylleraas-Gaussian-Type Basis Functions in Cylindrical Coordinates: Helium Atom in a Strong Magnetic Field. Physical Review A, 77, Article ID: 043414.
https://doi.org/10.1103/PhysRevA.77.043414
[31]
Becken, W. and Schmelcher, P. (2002) Electromagnetic Transitions of the Helium Atom in a Strong Magnetic Field. Physical Review A, 65, Article ID: 033416.
https://doi.org/10.1103/PhysRevA.65.033416
[32]
Boblest, S., Schimeczek, C. and Wunner, G. (2014) Ground States of Helium to Neon and Their Ions in Strong Magnetic Fields. Physical Review A, 89, Article ID: 012505.
https://doi.org/10.1103/PhysRevA.89.012505
![\"\"](\"Edit_d92f9e9d-e574-4fa3-91fb-a153db020509.png\")
![\"\"](\"Edit_5bf0039b-89f7-4346-a3cb-178f5df359cf.png\")
