Algebraic Models: Coordinates, Scales, and Dynamical Symmetries
Michael W. N. Ibrahim
Abstract
We discuss the variety of coordinates often used to characterize the coherent state classical limit of an algebraic model. We show selection of appropriate coordinates naturally motivates a procedure to generate a single particle Schrödinger hamiltonian which, for low energy states, gives equivalent results to a bosonic algebraic model to leading order in N. The process is used to study the associated geometries of the dynamical symmetries of U(3). By demanding that the inner product be preserved in the Schrödinger picture we conclude that different dynamical symmetries correspond to different scales.
Create a lesson
Related papers
Molecular Geometry Understanding Has Unintendedly Emerged in Frontier Large Language Models
Gregorii A. Semakin, Timofey V. Losev, Ilya V. Prolomov et al.
Truncated automatic sparse differentiation for machine learning interatomic potentials
Marcel F. Langer, Adrian Hill, Michele Ceriotti
Collective Ion Dynamics from Finite-Volume Fluctuations in Model Explicit-Solvent Electrolytes
Jeongmin Kim
FOSY: Segmental Backbone Assignment in Intrinsically Disordered Proteins
Dmitry M. Lesovoy, Tatiana Agback, Panagiota S. Georgoulia et al.
Efficient tensorized evaluation of permutation invariant polynomials for representing potential energy surfaces
Junhong Li, Kaisheng Song, Hua Guo et al.
DFT GGA based datasets for H2O potential energy surfaces, permanent moment and polarizability tensors
Anoop Ajaya Kumar Nair, Elvar Örn Jónsson