Phase space quantum mechanics

• Published in: Annals of physics Vol. 327; no. 2; pp. 167 - 211
• Main Authors: Baszak, Maciej, Domaski, Ziemowit
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.02.2012; Elsevier BV
• Subjects: Atoms & subatomic particles; Brackets; Chemical elements; Deformation; Deformation quantization; Formalism; Formulations; Mathematical analysis; Moyal product; Quantization; Quantum mechanics; Quantum physics; Star product; Transforms; Wigner function; Wigner function; Star product; Deformation quantization; Quantum mechanics; Moyal product
• ISSN: 0003-4916; 1096-035X
• DOI: 10.1016/j.aop.2011.09.006

This paper develops an alternative formulation of quantum mechanics known as the phase space quantum mechanics or deformation quantization. It is shown that the quantization naturally arises as an appropriate deformation of the classical Hamiltonian mechanics. More precisely, the deformation of the...