2007/10/09 by Rupert L. Frank, Elliott H. Lieb, Robert Seiringer
Mathematics · Physics and Astronomy · #Bound state #Complex system #Constant (computer programming) #Numerical methods in inverse problems #Operator theory #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #Type (biology) #Upper and lower bounds #math-ph #math.MP
paper · pdf · doi:10.1007/s11005-007-0211-x
published as Lett. Math. Phys. 82, 107 (2007) · Dedicated to Jean-Claude Cortet, in appreciation of his contribution to Letters in Mathematical Physics
arxiv created 2007/10/09 · openalex publication_date 2007/12/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We give a CLR type bound on the number of bound states of Schroedinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.