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Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities

Joachim Stubbe — 2010

Journal of the European Mathematical Society

We show that phase space bounds on the eigenvalues of Schr¨odinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb– Thirring inequalities.

Brief comments on the Note «Qualche osservazione sulle forze centrali in Relatività Ristretta» of Luigi Stazi

Joachim Stubbe; Valentino L. Telegdi — 1995

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The central «pseudopotentials» yielding, in relativistic mechanics, closed (bounded) orbits for any given energy are derived by inspection (of the algebraic form of the hamiltonian).

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Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities

Brief comments on the Note «Qualche osservazione sulle forze centrali in Relatività Ristretta» of Luigi Stazi

Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry

Existence and stability of solitary waves of Boussinesq-type equations

A nonlinear Schrödinger equation with magnetic field effect: solitary waves with internal rotation