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math-ph2025
Quantitative Derivation of the Two-Component Gross--Pitaevskii Equation in the Hard-Core Limit with Uniform-in-Time Convergence Rate
Jacky Chong, Jinyeop Lee, Zhiwei Sun
We derive the time-dependent two-component Gross--Pitaevskii (GP) equation as an effective description of the dynamics of a dilute two-component Bose gas near its ground state, whi…
math-ph2024
Exactly solvable Schrödinger operators related to the confluent equation
Jan Dereziński, Jinyeop Lee
Our paper investigates one-dimensional Schrödinger operators defined as closed operators on or that are exactly solvable in terms of confluent…