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Ground State Energy of the Two-Component Charged Bose Gas
Elliott H. Lieb, Jan Philip Solovej
We continue the study of the two-component charged Bose gas initiated by Dyson in 1967. He showed that the ground state energy for particles is at least as negative as $-CN^{7/…
Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics
Elliott H. Lieb, Michael Loss
We show that the Hamiltonian describing N nonrelativistic electrons with spin, interacting with the quantized radiation field and several fixed nuclei with total charge Z has a gro…
One-Dimensional Behavior of Dilute, Trapped Bose Gases
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
Recent experimental and theoretical work has shown that there are conditions in which a trapped, low-density Bose gas behaves like the one-dimensional delta-function Bose gas solve…
One-dimensional Bosons in Three-dimensional Traps
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
Recent experimental and theoretical work has indicated conditions in which a trapped, low-density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Li…