Math @ Duke

Publications [#287119] of Ingrid Daubechies
Papers Published
 Daubechies, I, An uncertainty principle for fermions with generalized kinetic energy,
Communications in Mathematical Physics, vol. 90 no. 4
(December, 1983),
pp. 511520, Springer Nature, ISSN 00103616 [doi]
(last updated on 2019/05/19)
Abstract: We derive semiclassical upper bounds for the number of bound states and the sum of negative eigenvalues of the oneparticle Hamiltonians h=f(i∇)+V(x) acting on L2(ℝn). These bounds are then used to derive a lower bound on the kinetic energy {Mathematical expression} for an Nfermion wavefunction ψ. We discuss two examples in more detail:f(p)=p and f(p)=(p2+m2)1/2m, both in three dimensions. © 1983 SpringerVerlag.


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