An uncertainty principle for fermions with generalized kinetic energy

Published

Journal Article

We derive semiclassical upper bounds for the number of bound states and the sum of negative eigenvalues of the one-particle 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 N-fermion wavefunction ψ. We discuss two examples in more detail:f(p)=|p| and f(p)=(p2+m2)1/2-m, both in three dimensions. © 1983 Springer-Verlag.

Full Text

Duke Authors

Cited Authors

  • Daubechies, I

Published Date

  • December 1, 1983

Published In

Volume / Issue

  • 90 / 4

Start / End Page

  • 511 - 520

Electronic International Standard Serial Number (EISSN)

  • 1432-0916

International Standard Serial Number (ISSN)

  • 0010-3616

Digital Object Identifier (DOI)

  • 10.1007/BF01216182

Citation Source

  • Scopus