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math-ph2019★ 1 cited
Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Atoms
Dirk Hundertmark, Michal Jex, Markus Lange
It is well known that -electron atoms undergoes unbinding for a critical charge of the nucleus , i.e. the atom has eigenstates for the case and it has no bound sta…
math-ph2019★ 2 cited
Quantum Systems at The Brink: Helium-type systems
Dirk Hundertmark, Michal Jex, Markus Lange
In the present paper we study two challenging problems for helium-type systems. Existence of eigenvalues at thresholds and the asymptotic behavior of the corresponding eigenfunctio…