Variational principle for Hamiltonians with degenerate bottom

zbMath1156.81386arXiv0710.4790MaRDI QIDQ3596971

Konstantin Pankrashkin

Publication date: 9 February 2009

Full work available at URL: https://arxiv.org/abs/0710.4790

zbMATH Keywords

Schrödinger operatorvariational principleFourier symbol

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Variational principles of physics (49S05)

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Weak coupling limit for Schrödinger-type operators with degenerate kinetic energy for a large class of potentials ⋮ On the spectrum of convolution operator with a potential ⋮ Cwikel's bound reloaded ⋮ Quantitative bounds versus existence of weakly coupled bound states for Schrödinger type operators ⋮ Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy

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