On the integrability of deformation quantized toda lattice

Naoya Miyazaki

doi:10.1007/s10440-006-9053-2

On the integrability of deformation quantized toda lattice

Naoya Miyazaki

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

Abstract

In the present paper, we are concerned with deformation quantization of irregular Poisson structures. Translating Toda lattice equation into Hamiltonian formalism equation, we also study the global integrability of deformation quantized Toda lattice.

Original language	English
Pages (from-to)	21-36
Number of pages	16
Journal	Acta Applicandae Mathematicae
Volume	92
Issue number	1
DOIs	https://doi.org/10.1007/s10440-006-9053-2
Publication status	Published - 2006 May

Keywords

Deformation quantization
Hochschild cohomology
Integrable system
Star-product
Toda lattice

ASJC Scopus subject areas

Applied Mathematics

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10.1007/s10440-006-9053-2

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title = "On the integrability of deformation quantized toda lattice",

abstract = "In the present paper, we are concerned with deformation quantization of irregular Poisson structures. Translating Toda lattice equation into Hamiltonian formalism equation, we also study the global integrability of deformation quantized Toda lattice.",

keywords = "Deformation quantization, Hochschild cohomology, Integrable system, Star-product, Toda lattice",

author = "Naoya Miyazaki",

note = "Funding Information: Acknowledgments The author expresses his gratitude to Professor H. Omori for his valuable suggestions and comments. This research is partially supported by Grant-in-Aid for Scientific Research (#15740045, #18540093), Ministry of Education, Culture, Sports, Science and Technology, Japan, and is also partially supported by Keio Gijuku Academic Funds.",

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doi = "10.1007/s10440-006-9053-2",

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KW - Hochschild cohomology

KW - Integrable system

KW - Star-product

KW - Toda lattice

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On the integrability of deformation quantized toda lattice

Abstract

Keywords

ASJC Scopus subject areas

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