A comparative review of four formulations of noncommutative quantum mechanics

被引：80
作者：
Gouba, Laure [1 ]
机构：
[1] Abdus Salam Int Ctr Theoret Phys ICTP, Str Costiera 11, I-34151 Trieste, Italy
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2016年 / 31卷 / 19期
关键词：
Noncommutative geometry; noncommutative quantum mechanics; formalism; star product; Bopp's shift; Seiberg-Witten map; path-integral; Weyl-Wigner transform; FIELD-THEORY; LANDAU PROBLEM; REPRESENTATIONS; PLANE; PHASE; SCATTERING; SPECTRUM;
D O I：
10.1142/S0217751X16300258
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
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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页数：15
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