1997/12/24 by N. S. Witte, Witte, N. S. · 2 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Cumulant #Curse of dimensionality #Eigenvalues and eigenvectors #Excited state #FOS: Physical sciences #Formalism (music) #Ground state #Hamiltonian (control theory) #Lanczos resampling #Lattice (music) #Mathematical optimization #Mathematics #Physics #Quantum mechanics #Scientific Research and Discoveries #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Theoretical and Computational Physics #Theoretical physics #Thermodynamic limit #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9712283
published in arXiv (Cornell University) (Cornell University) · 6 pages, Latex2.09 + World Scientific mprocl.sty to appear in Proceedings of the Ninth International Conference on Recent Progress in Many-Body Theories, July 1997, University of New South Wales, Australia
arxiv created 1997/12/24 · openalex publication_date 1997/12/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The classical formalism of the Moment Problem has been combined with a cumulant approach and applied to the extensive many-body problem. This has yielded many new exact results for many-body systems in the thermodynamic limit - for the ground state energy, for excited state gaps, and for arbitrary ground state averages. The method applies to any extensive Hamiltonian system, for any phase or symmetry arising in the model, whether on a lattice or in the continuum, and for any dimensionality. The theorems are of a nonperturbative nature with respect to any couplings occuring in the model.