Role of the Imaginary Part in the Moyal Quantization | Zendy

T. Koikawa | Zendy

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Role of the Imaginary Part in the Moyal Quantization

Author(s) -

T. Koikawa

Publication year - 2001

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.106.1297

Subject(s) - physics , quantization (signal processing) , homogeneous space , the imaginary , mathematical physics , hamiltonian (control theory) , wigner distribution function , conserved quantity , lattice (music) , canonical quantization , quantum , quantum mechanics , mathematics , quantum gravity , psychology , mathematical optimization , geometry , algorithm , acoustics , psychotherapist

We show that the imaginary part of the $\star$-genvalue equation in the Moyalquantization reveals the symmetries of the Hamiltonian by which we obtain theconserved quantities. Applying to the Toda lattice equation, we deriveconserved quantities which are used as the independent variables of Wignerfunction.Comment: 5 page

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