2004/08/06 by Cosmas Zachos, Thomas Curtright · 1 citation
Mathematics · Physics and Astronomy · #Associative property #Black Holes and Theoretical Physics #Canonical quantization #Hamiltonian (control theory) #Hydrogen atom #Operator (biology) #Quantization (signal processing) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Second quantization #hep-th #math-ph #math.MP #msc:81Q99
paper · pdf · doi:10.1007/s10582-004-9807-x
published as Czech.J.Phys.54:1393-1398,2004 · 6 pages, LateX2e. Invited talk by CZ at the XIII International Colloquium on Integrable Systems and Quantum Groups, Prague, June 18, 2004
arxiv created 2004/08/06 · openalex publication_date 2004/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Nambu Bracket quantization of the Hydrogen atom is worked out as an illustration of the general method. The dynamics of topological open branes is controlled classically by Nambu Brackets. Such branes then may be quantized through the consistent quantization of the underlying Nambu brackets: properly defined, the Quantum Nambu Brackets comprise an associative structure, although the naive derivation property is mooted through operator entwinement. For superintegrable systems, such as the Hydrogen atom, the results coincide with those furnished by Hamiltonian quantization--but the method is not limited to Hamiltonian systems.