2011 Fiscal Year Final Research Report
A research on noncommutative functional identities and their Geometry by deformation quantization
| Project/Area Number |
21540096
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
OMORI Hideki 東京理科大学, 理工学部, 嘱託教授 (20087018)
MAEDA Yoshiaki 慶応義塾大学, 理工学部, 教授 (40101076)
MIYAZAKI Naoya 慶応義塾大学, 経済学部, 教授 (50315826)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 複素解析幾何学 / 変形量子化 / 非可換関数論 / 非可換幾何学 / 量子化 / 数理物理学 / 力学的幾何学 / 幾何学と物理学 |
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| Research Abstract |
Star products are given by means of complex matrices, which are extension of typical star products in physics such as Moyal products. Jacobi theta functions are expressed by means of star exponential of linear functions, and fundamental identities are given by star product expressions. As an application of star exponentials of quadratic functions, we study the spectrum of MIC-Kepler problem in terms of star product algebra.
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