Abstract
We prove that the quantum-mechanical ground state energy of a system consisting of an arbitrary number, M, of static nuclei of atomic number ≤ Z and of an arbitrary number, N, of Pauli electrons interacting with the quantized, ultraviolet-cutoff radiation field is bounded below by -K · M, where K is a finite constant depending on Z, on the finestructure constant α and on the ultraviolet cutoff Λ, with K ≤ K′ Λ, as Λ → ∞, and K′ independent of Λ.
Original language | English (US) |
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Pages (from-to) | 309-330 |
Number of pages | 22 |
Journal | Communications In Mathematical Physics |
Volume | 190 |
Issue number | 2 |
DOIs | |
State | Published - 1997 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics