An uncertainty principle for fermions with generalized kinetic energy
نویسندگان
چکیده
منابع مشابه
An Uncertainty Principle for Fermions with Generalized Kinetic Energy
We derive semiclassical upper bounds for the number of bound states and the sum of negative eigenvalues of the one-particle Hamiltonians h = f ( ~ ) + V(x), acting on L2(N"). These bounds are then used N to derive a lower bound on the kinetic energy ~ ( q ~ , f ( i V y ) 0 ) for an j = l N-fermion wavefunction ~. We discuss two examples in more detail: f(P) = ]P[ and f(p) = (p2 + m2)1/2 _ m, bo...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1983
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01216182