Physics – Mathematical Physics
Scientific paper
2003-08-28
J. Stat. Phys. 116, 547-570 (2004)
Physics
Mathematical Physics
Submitted to special issue of J. Stat. Phys. in honor of E. Lieb's 70th birthday. (latex, 25 pages)
Scientific paper
10.1023/B:JOSS.0000037229.51177.
Electrons in strong magnetic fields can be described by one-dimensional models in which the Coulomb potential and interactions are replaced by regularizations associated with the lowest Landau band. For a large class of models of these type, we show that the maximum number of electrons that can be bound is less than a Z + Z f(Z). The function f(Z) represents a small non-linear growth which is quadratic in log Z when the magnetic field strength grows polynomially with the nuclear charge Z. In contrast to earlier work, the models considered here include those arising from realistic cases in which the full trial wave function for N-electrons is the product of an N-electron trial function in one-dimension and an antisymmetric product of states in the lowest Landau level.
Brummelhuis Raymond
Ruskai Mary Beth
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