2005/07/14 by J. E. García-Ramos, J. E. Garcia-Ramos, J. Dukelsky +1
Mathematics · Physics and Astronomy · #Algorithm #Boson #Cold Atom Physics and Bose-Einstein Condensates #Hamiltonian (control theory) #Linear subspace #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quantum, superfluid, helium dynamics #Tridiagonal matrix #nucl-th
paper · pdf · doi:10.1103/physrevc.72.037301
published as Phys.Rev. C72 (2005) 037301 · To be published in PRC
arxiv created 2005/07/14 · openalex publication_date 2005/09/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Exact numerical results of the interacting boson model Hamiltonian along the integrable line from U(5) to O(6) are obtained by diagonalization within boson seniority subspaces. The matrix Hamiltonian reduces to a block tridiagonal form that can be diagonalized for large number of bosons. We present results for the low-energy spectrum and the transition probabilities for systems up to 10,000 bosons, which confirm that at the critical point the system is equally well described by the Bohr Hamiltonian with a \ensuremathβ4 potential.