期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
卷 31, 期 19, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X16300258
关键词
Noncommutative geometry; noncommutative quantum mechanics; formalism; star product; Bopp's shift; Seiberg-Witten map; path-integral; Weyl-Wigner transform
资金
- Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy
Four formulations of quantum mechanics on noncommutative Moyal phase spaces are reviewed. These are the canonical, path-integral, Weyl-Wigner and systematic formulations. Although all these formulations represent quantum mechanics on a phase space with the same deformed Heisenberg algebra, there are mathematical and conceptual differences which we discuss.
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