Near-horizon states of black holes and Calogero models

2003/04/08 by B. Basu-Mallick, B Basu-Mallick, Pijush K. Ghosh +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Black hole (networking) #Eigenfunction #Harmonic #Harmonic oscillator #Quantum #Quantum Mechanics and Non-Hermitian Physics #Type (biology) #hep-th

paper · pdf · doi:10.1007/bf02705348

published as Pramana62:691-694,2004 · 3 pages, talk given at PASCOS03, TIFR, Mumbai

arxiv created 2003/04/08 · openalex publication_date 2004/03/01 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

We find self-adjoint extensions of the rational Calogero model in presence of the harmonic interaction. The corresponding eigenfunctions may describe the near-horizon quantum states of certain types of black holes.

Citations

• Bound states in one-dimensional quantum N-body systems with inverse square interaction
• Black Hole Entropy from Conformal Field Theory in Any Dimension

Cited by

• Quantization and conformal properties of a generalized Calogero model