6 papers
The Universal Gap-to-Critical Temperature Ratio in Superconductors: a Statistical Mechanical Perspective
Chung-Ru Lee
We propose a statistical mechanical framework to unify the observed relationship between the superconducting energy gap , the pseudogap , and the critical temperature $T…
Generalized Fermi-Dirac Distribution of Exclusive Fermions
Chung-Ru Lee, Chin-Rong Lee
A system of exclusive fermions occurs when two fermions of opposite spin are prohibited from occupying the same quantum level. We derive the distribution of exclusive fermions via…
Determination of the Hamiltonian from the Equations of Motion with Illustration from Examples
Chung-Ru Lee
In this paper, we study the determination of Hamiltonian from a given equations of motion. It can be cast into a problem of matrix factorization after reinterpretation of the syste…
Boundary Condition and the Auxiliary Phase in Feynman Path Integral
Chung-Ru Lee
When employing Feynman path integrals to compute propagators in quantum physics, the concept of summing over the set of all paths is not always naive. In fact, an auxiliary phase o…
Endoscopic Relative Orbital Integrals on U
Chung-Ru Lee
Let be a nonarchimedean local field and consider the action of the reductive group SO on the spherical variety (U/O. We compute the endoscopic orbital integr…
Rational Points in Regular Orbits attached to Infinitesimal Symmetric Spaces
Trung Can, Chung-Ru Lee, Benjamin Nativi +1
Motivated by problems arising in the relative trace formula and arithmetic invariant theory we prove the existence of rational points on orbits arising from certain infinitesimal s…