The Moyal-Lie Theory of Phase Space Quantum Mechanics

Details The Moyal-Lie Theory of Phase Space Quantum Mechanics The Moyal-Lie Theory of Phase Space Quantum Mechanics

2001-08-17

arxiv.org/abs/quant-ph/0108081v1

Physics

Quantum Physics

15 pages, no figures, to appear in J. Phys. A (2001)

Scientific paper

10.1088/0305-4470/34/34/307

A Lie algebraic approach to the unitary transformations in Weyl quantization
is discussed. This approach, being formally equivalent to the
$\star$-quantization, is an extension of the classical Poisson-Lie formalism
which can be used as an efficient tool in the quantum phase space
transformation theory.

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