San-Jiang Yang

ORCID: 0000-0003-0463-648X
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About
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Research Areas
  • Atomic and Molecular Physics
  • Advanced Chemical Physics Studies
  • Quantum Mechanics and Non-Hermitian Physics
  • Quantum Chromodynamics and Particle Interactions
  • Cold Atom Physics and Bose-Einstein Condensates
  • Indoor and Outdoor Localization Technologies
  • Astrophysics and Star Formation Studies
  • Laser-Matter Interactions and Applications
  • Radio Wave Propagation Studies
  • Particle accelerators and beam dynamics
  • GNSS positioning and interference
  • Quantum and Classical Electrodynamics
  • Scientific Research and Discoveries
  • Matrix Theory and Algorithms
  • Advanced Frequency and Time Standards

Hubei Normal University
2021-2025

Wuhan University
2017-2022

State Key Laboratory of Information Engineering in Surveying Mapping and Remote Sensing
2022

Wuhan Institute of Physics and Mathematics
2017-2019

Chinese Academy of Sciences
2017-2019

The Hylleraas-B-splines basis set is introduced in this paper, which can be used to obtain the eigenvalues and eigenstates of helium-like system's Hamiltonian. Comparing with traditional B-splines basis, rate convergence our results has been significantly improved. Through combine method pseudo-states sum over scheme, we obtained high precision values static dipole porlarizabilities $1{}^1S-5{}^1S$, $2{}^3S-6{}^3S$ states helium length velocity gauges respectively, get good agreements. final...

10.1103/physreva.95.062505 article EN Physical review. A/Physical review, A 2017-06-14

A large-scale full-configuration-interaction calculation based on Dirac-Coulomb-Breit (DCB) Hamiltonian is performed for the $2\,^1S_0$ and $2\,^3S_1$ states of helium. The operators normal specific mass shifts are directly included in DCB framework to take finite nuclear correction into account. High-accuracy energies matrix elements involved n (the main quantum number) up 13 obtained from one diagonalization Hamiltonian. dynamic dipole polarizabilities calculated by using sum rule...

10.1103/physreva.98.040501 article EN Physical review. A/Physical review, A 2018-10-05

In this paper, we report an application of the Hylleraas-$B$-spline basis to calculation nonrelativistic Bethe logarithm helium. The logarithms for $n{\phantom{\rule{0.16em}{0ex}}}^{1}S$ states helium, where $n$ is up 10, are calculated precisely in acceleration and velocity-acceleration gauges, which greatly improves accuracy traditional B-spline basis. addition, overcome numerical instability problem emerging from use basis, a multiple-precision generalized symmetric eigenvalue solver developed.

10.1103/physreva.100.042509 article EN Physical review. A/Physical review, A 2019-10-21

This paper calculates the relativistic corrections for Dirac-Coulomb system through method of non-relativistic expansion. By expanding large and small components Dirac wave function energy eigenvalues in terms $\alpha^2$ (where $\alpha$ is fine-structure constant), we obtain iterative equations calculating higher-order systems. For a single-electron system, operator results are consistent with those literature Ref[Zhou et al 2023 J. Phys. B At. Mol. Opt. {\bf 56} 045001]. Using these...

10.48550/arxiv.2409.06195 preprint EN arXiv (Cornell University) 2024-09-09

In this article we propose a simple approach for the precision calculation of Bethe logarithm. The leading contributions are obtained using specific operators, while remaining terms eliminated by adjusting parameter $\lambda$. Through use dimensional regularization, singular divergences algebraically canceled. Compared to standard form logarithm, our significantly reduces complexity constructing pseudostates in numerical evaluations. Using obtain very highly precise result logarithm ground...

10.48550/arxiv.2409.08575 preprint EN arXiv (Cornell University) 2024-09-13

Expectation values of single electron and interelectronic geometric quantities such as 〈 r 〉, 12 < > 〈cos θ 〉 are calculated for doubly excited 2p n p 1 P e (3 ≤ 5), 3 (2 5) d 1,3 D ° states helium using Hylleraas- B -spline basis set. The energy levels converge to at least 10 significant digits in our calculations. extrapolated except reach well; reaches 7 a multipole expansion approach. Our results provide precise reference future research.

10.1088/1674-1056/ac1b88 article EN Chinese Physics B 2021-08-07

Abstract. Indoor positioning algorithms based on Wi-Fi or Bluetooth low energy (BLE) have been widely used for indoor navigation and Internet of Things (IoT) applications, due to their cost. However, accuracy is between 2–5 meters, which insufficient many emerging applications requiring higher accuracy. New high-precision technologies, such as light, acoustic, Angle Arrival (AoA)-based systems, developed, they can achieve decimeter-level these technologies suffer from high costs. In this...

10.5194/isprs-archives-xlvi-3-w1-2022-243-2022 article EN cc-by ˜The œinternational archives of the photogrammetry, remote sensing and spatial information sciences/International archives of the photogrammetry, remote sensing and spatial information sciences 2022-04-22

In this article, the form of basis set for solving helium Schrödinger equation is reinvestigated in perspective geometry. With help theorem proved by Gu $et~al.$, we construct a convenient variational set, which emphasizes geometric characteristics trial wavefuncions. The main advantage that angular part complete natural $L$ states with $L + 1$ terms and unnatural terms, where total quantum number. Compared sets contain three Euler angles, very simple to use. More importantly, quite easy be...

10.48550/arxiv.2106.08178 preprint EN other-oa arXiv (Cornell University) 2021-01-01
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