Czechoslovak Journal of Physics

, Volume 54, Issue 11, pp 1393–1398 | Cite as

Branes, Quantum Nambu Brackets and the Hydrogen Atom

  • Cosmas Zachos
  • Thomas Curtright

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.

Keywords

Nambu brackets quantization integrability 

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Copyright information

© Institute of Physics, Academy of Sciences of Czech Republic 2004

Authors and Affiliations

  • Cosmas Zachos
    • 1
  • Thomas Curtright
    • 2
  1. 1.High Energy Physics Division
  2. 2.Department of Physics

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