Branes, quantum Nambu brackets and the hydrogen atom

Cosmas Zachos, Thomas Curtright

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1393-1398
Number of pages6
JournalCzechoslovak Journal of Physics
Volume54
Issue number11
DOIs
StatePublished - Nov 1 2004

Keywords

  • Integrability
  • Nambu brackets
  • Quantization

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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