Report title: Two cases of mathematical applications in physics: integral transformations and parametric descriptions

Rapporteur ： Associate Professor Weigang Qiu (Huzhou College)

Report time: Tuesday, October 18, 2022, 10:00-11:00 am

Report Location: Online Report (Tencent Conference ID: 659-170-681)

Report abstract：

1. The scalar field eigenfunction of the inverse de Sitter space is the product of the imaginary zoned Bessel function and the plane wave function. The Green's function of the scalar field is the product of the eigenfunctions at two points integrated in the momentum space. Using the formula in the integration manual and the integral transformation formula, the hypergeometric series expressions of the Green's function are obtained.

2. The calculation of the volume and rotational inertia of a Lero tetrahedron, i.e., a sphere whose center is located at the vertex of a positive tetrahedron and the common part of four identical spheres.

Biography of the rapporteur：

Weigang Qiu, male, June 1975, PhD student, associate professor. He received his undergraduate degree from University of Science and Technology of China and his postgraduate degree from Fudan University. He is currently a teacher in the Department of Public Instruction of Huzhou College. He is mainly engaged in mathematical physics and physics education research. He has presided over or participated in 12 national and provincial projects, and published nearly 120 articles on teaching and research in journals such as University Physics, University Mathematics, Physics Bulletin, and Mathematics Bulletin.