Role of the imaginary part in the Moyal quantization

Details Role of the imaginary part in the Moyal quantization Role of the imaginary part in the Moyal quantization

2001-09-05

arxiv.org/abs/hep-th/0109035v1

Prog.Theor.Phys. 106 (2001) 1297-1300

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

10.1143/PTP.106.1297

We show that the imaginary part of the $\star$-genvalue equation in the Moyal
quantization reveals the symmetries of the Hamiltonian by which we obtain the
conserved quantities. Applying to the Toda lattice equation, we derive
conserved quantities which are used as the independent variables of Wigner
function.

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