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math-ph2022
Quantum Systems at The Brink
Dirk Hundertmark, Michal Jex, Markus Lange
We present a method to calculate the asymptotic behavior of eigenfunctions of Schrödinger operators that also works at the threshold of the essential spectrum. It can be viewed as…
math-ph2022★ 2 cited
Classical Density Functional Theory: Representability and Universal Bounds
Michal Jex, Mathieu Lewin, Peter S. Madsen
We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density . We study both the canonical and grand-canonical cases, assum…