Algebraic structure underlying spherical, parabolic and prolate spheroidal bases of the nine-dimensional MICZ-Kepler problem

Octonion algebra $\mathbb{O}$ has recently been used to study the fundamental physics of the Standard Model, such as its three-generation structure and its possibility of unifying gravity and quantum mechanics. Interestingly, this octonion algebra $\mathbb{O}$ has also been related to the $SO(8)$ monopole and, consequently, links to the nine-dimensional MICZ-Kepler problem. This problem has been solved exactly by the variables separation method in three different coordinate systems, spherical, parabolic, and prolate spheroidal. In the present study, we establish a relationship between the variable-separation and the algebraic structure of $SO(10)$ symmetry. Each of the spherical, parabolic, or prolate spheroidal bases is proved to be a set of eigenfunctions of a corresponding nonuplet of algebraically-independent integrals of motion. This finding also helps us to establish connections between the bases by the algebraic method. This connection, in turn, allows calculating a complicated integral of confluent Heun, generalized Laguerre, and generalized Jacobi polynomials, which may be engaging in analytics.Comment: 21 pages, no figures. Submitted to Physica Script

NGHIÊN CỨU BƯỚC ĐẦU VỀ KHẢ NĂNG PHÁT THẢI KHÍ NHÀ KÍNH TỪ CÁC KHU ĐẤT NGẬP NƯỚC VEN BIỂN HẢI PHÒNG

Total greenhouse gas emissions from some types of Hai Phong’s wetlands are 2,886,251 tonnes CO2e/year, converted from CO2, CH4 and N2O. In which, emissions from mangrove, aquaculture, paddy fields and permanent wetlands are 18,025 tonnes CO2e/year, 199,380 tonnes CO2e/year, 421,956 tonnes of CO2e/year 2,246,890 tonnes CO2e/year.Tổng lượng khí nhà kính phát thải từ một số loại hình đất ngập nước Hải Phòng là 2.886.251 tấn CO2e/năm, quy đổi từ CO2, CH4 và N2O. Trong đó, phát thải từ đất ngập nước rừng ngập mặn 18.025 tấn CO2e/năm, đất ngập nước nuôi trồng thủy sản 199.380 tấn CO2e/năm, ruộng lúa nước 421.956 tấn CO2e/năm và từ đất ngập nước thường xuyên 2.246.890 tấn CO2e/năm

Thermal effect on magnetoexciton energy spectra in monolayer transition metal dichalcogenides

It is widely comprehended that temperature may cause phonon-exciton scattering, enhancing the energy level's linewidth and leading to some spectrum shifts. However, in the present paper, we suggest a different mechanism that allows the thermal motion of the exciton's center of mass (c.m.) to affect the magnetoexciton energies in monolayer dichalcogenides (TMDCs). By the nontrivial but precise separation of the c.m. motion from an exciton in a monolayer TMDC with a magnetic field, we obtain an equation for the relative motion containing a motional Stark term proportional to the c.m. pseudomomentum, related to the temperature of the exciton gas but neglected in the previous studies. Solving the Schr\"odinger equation without omitting the motional Stark potential at room temperature shows approximately a few meV thermal-magnetic shifts in the exciton energies, significant enough for experimental detection. Moreover, this thermal effect causes a change in exciton radius and diamagnetic coefficient and enhances the exciton lifetime as a consequence. Surprisingly, the thermoinduced motional Stark potential breaks the system's SO(2) symmetry, conducting new peaks in the exciton absorption spectra at room temperature besides those of the $s$ states. This mechanism could be extended for other magnetoquasiparticles such as trions and biexcitons.Comment: 8 pages, 4 figures, 3 tables for main manuscript; 20 pages, 6 figures, 6 tables for supplementary. Published on Physical Review

Revisiting the Approaches for Exploring Students’ Drive in Japanese Studies

Japanese Studies undergraduate programs offer students an engaging curriculum that provides a deep understanding of the Japanese language and culture. A degree in Japanese Studies equips students with valuable skills that are relevant in various fields, making it a popular choice worldwide. College students’ motivation is a critical factor in academic success and has been extensively studied in education. The paper aims to review the existing theories related to study motivation, language acquisition, study abroad drives, and motivation, then to consider the approaches and details that we could prioritize for investigating the motivations and drives of students majoring and minoring in Japanese Studies in universities

25 YEARS OF MANGROVE REHABILITATION IN CAN GIO DISTRICT, HO CHI MINH CITY, VIETNAM

Joint Research on Environmental Science and Technology for the Eart