An uncertainty principle for fermions with generalized kinetic energy


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