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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Deformation quantization of superintegrable systems and Nambu mechanics

Thomas L Curtright1 and Cosmas K Zachos2

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[1]

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D1-brane in constant R-R 3-form flux and Nambu dynamics in string theory

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Quantized Nambu–Poisson manifolds and n-Lie algebras

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Towards the quantum geometry of the M5-brane in a constant C-field from multiple membranes

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Hamiltonian and quasi-Hamiltonian systems, Nambu–Poisson structures and symmetries

José F Cariñena et al  Journal of Physics A: Mathematical and Theoretical 2008  41 335209
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M2 to D2 revisited

Pei-Ming Ho et al  Journal of High Energy Physics 2008  2008 003
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A toy model of open membrane field theory in constant 3-form flux

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[11]

Extra dimensions and nonlinear equations

Thomas Curtright and David Fairlie  Journal of Mathematical Physics 2003  44 2692
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[12]

Classical and quantum Nambu mechanics

Thomas Curtright  Physical Review D 2003  68 085001
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[13]

Surface terms, angular momentum and Hamilton-Jacobi formalism

Güler, Y. et al  Il Nuovo Cimento B 2003  118 293
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[14]

Membranes and consistent quantization of Nambu dynamics

Zachos, Cosmas  Physics Letters B 2003  570 82
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[15]

Deformation Quantization of Nambu Mechanics

Zachos, Cosmas K. and Curtright, Thomas L.  SHORT DISTANCE BEHAVIOR OF FUNDAMENTAL INTERATIONS: 31st Coral Gables Conference on High Energy Physics and Cosmology 2003  672 183
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[16]

Classical dynamics in deformed spaces

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Quantization with maximally degenerate Poisson brackets: the harmonic oscillator!

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