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math-ph2025
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…
math-ph2024
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…
math-ph2022
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…