the Natural Science Foundation of Hubei Province(2021CFB037 to R.C.);the National Natural Science Foundation of China(91964203 to J.H.;62274121 and 62104171 to R.C.);support by the National Research Foundation of Korea(NRF)(2022M3D1A2085228);Yonsei University。
Ultrathin two-dimensional(2D)materials have attracted considerable interest in recent years due to their fascinating properties and enormous potential in various fields.Among the vast family of 2D materials,2D magneti...
In this note, we investigate the product Heisenberg group Hn, where Hn=H1×…×H1 is the Cartesian product of the 3-dimensional Heisenberg group H1. Let (z, t)...
Project supported by the National Natural Science Foundation of China.
Interest in the weak Hardy spaces comes from the careful consideration of the sharp-ness of some basic operators in harmonic analysis. In the past twenty years thenoncommutative Fourier transform becam a useful tool i...
Project supported by the National Natural Science Foundation of China.
In this note we obtain some theorems for the well-posed initial value problem of a class of partial differential equations on the Heisenberg group H_n by means of the group Fourier transform, and therefore derive the ...
The Lax representation for the continuous Heisenberg spin chain equation is given by L. A. Takhtajan(Phys. Lett., 64A(1977), 235), the higher-order Heisenberg equations are obtained by D. Y. Chen and Y.S. Li(Acta Math...
In this letter, information uncertainty principle is deducted from the Shannon-Wiener formula. It is proved that Heisenberg’s uncertainty principle is its special case. The Shannon-Wiener formula shows that the maxim...
According to GWS theory, the interactions among Higgs field,gauge field and fermion field make up W, Z^0 and lepton. The Higgs field itself is a kind of scalar vacuum field. Meanwhile, Heisenberg has used the spinor f...