2 problems
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Van Leeuwen's extended Runge–Gross conjecture for interaction replacement
Let a system with initial wave function evolve under interaction potential and external potential . For a different interaction potential , there should be a un…
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Runge–Gross density-potential mapping conjecture
Let be the initial wave function of an -particle system, with initial density on a domain . Assume that the external potential is time-analytic, that…