Programme

P.29 -- Poster, VCTP-49

Date: Wednesday, 31 July 2024

Time: 08:30 - 10:00

Thermal-Magnetic Effect on the Excited-State Energy Levels of a Plasma-Embedded Hydrogen Atom in a homogeneous Magnetic Field

Gia-Phu Huynh (1), Huong-Giang T. Nguyen (1), Thanh-Truc H. Nguyen (2) and Duy-Nhat Ly (1)

(1) Ho Chi Minh City University of Education, Vietnam; (2) Marie Curie High School, Ho Chi Minh City, Vietnam.

Energy spectra of a plasma-embedded hydrogen atom in a homogeneous magnetic field is a topic of great interest in plasma physics [1–7 ]. In this paper, we investigate the simultaneous influence of thermal motion of the center of mass and the magnetic field on the energy spectra, referred to as the thermal-magnetic effect. Currently, it is possible in the laboratory to create a stable magnetic field with an intensity of about 100 Tesla for a long enough time for investigation [6] and to create plasma with a temperature of several MeV [7]. Therefore, in addition to studying the influence of the magnetic field on the energy spectra of hydrogen atoms in plasma, it is necessary to investigate the thermal motion of the electron-nucleus center of mass in the magnetic field. This influence is taken into account because the term $-\frac{e}{M}\left( \mathbf{B}\times \mathbf{K} \right)\cdot \mathbf{r}$ appears in the Hamiltonian, which is accurately separated from the center of mass [1,2]. Here, $\mathbf{K}$ is the pseudo-momentum vector of the center of mass related to the temperature according to the Maxwell–Boltzmann distribution $\overline{{{K}^{2}}}=3M{{k}_{B }}T.$ We use perturbation theory to study this effect of simultaneous temperature and magnetic field influences on the spectra and wavefunction. For the first excited state, the energy shift is $0.2\%$ at a temperature of $T=3\times {{10}^{6}}\text{ K}$ and a magnetic field of $B=2.35\times {{10}^{3}}\text{ Tesla}\text{.}$ This influence is significant, but further studies are required to understand the thermal-magnetic effect at higher excited state levels. [1] Duy-Nhat Ly, Dai-Nam Le, Ngoc-Hung Phan, and Van-Hoang Le, Phys. Rev. B, 2023. [2] Duy-Nhat Ly, Dai-Duong Hoang-Trong, Ngoc-Hung Phan, D. P. Nguyen, and Van-Hoang Le, CPC, 2024. [3] Duy-Nhat Ly, Ngoc-Tram D. Hoang, and Van-Hoang Le, Phys. Plasmas, 2021. [4] Z.-B. Chen, et at., J. Quant. Spectrosc. Radiat. Transf., 2020. [5] T. C. Luce, Phys. Plasmas, 2011. [6] F. Kametani et al., Appl. Phys. Express, 2024. [7] Y. Wu, et al., Sci. Rep., 2021.

Presenter: Ly Duy-Nhat