Weyl-Wigner-Groenewold-Moyal kuantizasyonu ve süpersimetrik kuantum mekaniği
Özet
In this thesis, basic ideas of the Weyl-Wigner-Groenewold-Moyal (WWGM) quanti zation axe reviewed and are used in generating Wigner functions of Landau levels. A generating function is introduced for the same purpose and by means of its inte grated forms, marginal probability densities on two dimensional phase-space coor dinate planes axe calculated. As an extension of the intertwining operator idea of supersymmetric quantum mechanics (SUSYQM) an algebraic method which makes it possible to construct two families of two dimensional superintegrable and isospec- tral potentials is developed. Realizations of some SUSY methods in the WWGM quantization are presented with applications. Key Words: Weyl-Wigner-Groenewold-Moyal quantization, star-product, Moyal bracket, star-eigenvalue equations, Wigner function, marginal pro bability densities, supersymmetric quantum mechanics, intertwining method, superintegrability, isospectral potentials.