Physics – Quantum Physics
Scientific paper
2002-11-19
B. Demircioglu and A. Vercin, Ann. Phys. (NY) 305 (2003) 1-27
Physics
Quantum Physics
28 pages, 2 tables. Typos and a minor revision only section 7
Scientific paper
10.1016/S0003-4916(03)00015-0
Generation of Wigner functions of Landau levels and determination of their symmetries and generic properties are achieved in the autonomous framework of deformation quantization. Transformation properties of diagonal Wigner functions under space inversion, time reversal and parity transformations are specified and their invariance under a four-parameter subgroup of symplectic transformations are established. A generating function for all Wigner functions is developed and this has been identified as the phase-space coherent state for Landau levels. Integrated forms of generating function are used in generating explicit expressions of marginal probability densities on all possible two dimensional phase-space planes. Phase-space realization of unitary similarity and gauge transformations as well as some general implications for the Wigner function theory are presented.
Demircioglu Bengu
Verçin Abdullah
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