Found 34 Documents (Results 1–34)
Bound states and heat kernels for fractional-type Schrödinger operators with singular potentials. (English) Zbl 1528.58010
Reviewer: Vladimir Vasilyev (Belgorod)
On the stability and spectral properties of the two-dimensional Brown-Ravenhall operator with a short-range potential. (English) Zbl 1507.35216
Spectral cluster estimates for Schrödinger operators of relativistic type. (English. French summary) Zbl 1477.35109
Fall-off of eigenfunctions for non-local Schrödinger operators with decaying potentials. (English) Zbl 1367.47049
Fractional \(P(\phi)_1\)-processes and Gibbs measures. (English) Zbl 1272.47053
Reviewer: René L. Schilling (Dresden)
Solutions of Schrödinger equations with inverse square potential and critical nonlinearity. (English) Zbl 1248.35058
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Scaling limits for the system of semi-relativistic particles coupled to a scalar Bose field. (English) Zbl 1270.81090
The electron densities of pseudorelativistic eigenfunctions are smooth away from the nuclei. (English) Zbl 1205.35240
Reviewer: Pedram Hekmati (Adelaide)
The thermodynamic limit of quantum Coulomb systems. II: Applications. (English) Zbl 1165.81042
Reviewer: Guy Jumarie (Montréal)
Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model. (English) Zbl 1153.81320
Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. (English) Zbl 1135.81030
Reviewer: Gert Roepstorff (Aachen)
On Schrödinger operators with multipolar inverse-square potentials. (English) Zbl 1222.35074
Reviewer: Kazushi Yoshitomi (Tokyo)
Intrinsic ultracontractivity of the Feynman–Kac semigroup for relativistic stable processes. (English) Zbl 1112.47034
Reviewer: Franco Fagnola (Milano)
Two-centre Dirac-Coulomb operators: Regularity and bonding properties. (English) Zbl 1029.81024
Reviewer: Wang Cun-Zheng (Chengdu)
Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions. (English) Zbl 0716.35006
Reviewer: D.Robert
Weyl quantized Hamiltonians of relativistic spinless particles in magnetic fields. (English) Zbl 0715.46051
Reviewer: A.Wehrl
The stability of matter: From atoms to stars. (English) Zbl 0698.35135
Reviewer: P.-L.Lions
Essential selfadjointness of the Weyl quantized relativistic Hamiltonian. (English) Zbl 0721.35059
Reviewer: T.A.Dzhangveladze (Tbilisi)
The Chandrasekhar theory of stellar collapse as the limit quantum mechanics. (English) Zbl 0641.35065
Exponential decay for the eigenfunctions of the two body relativistic Hamiltonian. (English) Zbl 0626.35075
Reviewer: Ch.S.Sharma
Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule. (English) Zbl 0607.35082
Reviewer: A.Martynyuk
MSC:
35Q99
Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field. (English) Zbl 0606.60060
Stability of Coulomb systems with magnetic fields. I: The one-electron atom. (English) Zbl 0595.35098
Reviewer: A.Martynyuk
Sobolev inequalities with remainder terms. (English) Zbl 0577.46031
MSC:
46E35
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