BOUND STATES FOR SCHRÖDINGER HAMILTONIANS: PHASE SPACE METHODS AND APPLICATIONS

DOI10.1142/S0129055X96000172zbMath0859.35101MaRDI QIDQ4895571

Joachim Stubbe, Philippe Blanchard

Publication date: 19 November 1996

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Birman-Schwinger operatorbound states for Schrödinger operatorsSobolev inequality for the kinetic energy

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Scattering theory of linear operators (47A40)

Related Items

BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN ⋮ The Lieb–Thirring inequalities: Recent results and open problems ⋮ Semi-classical signal analysis ⋮ Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities ⋮ Upper limit on the number of bound states of the spinless Salpeter equation ⋮ Lieb-Thirring inequalities and other functional inequalities for orthonormal systems ⋮ Bargmann-type inequality for half-linear differential operators ⋮ Unnamed Item ⋮ The Lieb-Thirring inequality revisited ⋮ Trace identities for commutators, with applications to the distribution of eigenvalues ⋮ Sharp Lieb-Thirring inequalities in high dimensions.