@article{VTAMU_2019_24_127_a3,
author = {A. Yoshioka},
title = {Star product and star function},
journal = {Vestnik rossijskih universitetov. Matematika},
pages = {281--292},
year = {2019},
volume = {24},
number = {127},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTAMU_2019_24_127_a3/}
}
A. Yoshioka. Star product and star function. Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 127, pp. 281-292. http://geodesic.mathdoc.fr/item/VTAMU_2019_24_127_a3/
[1] G. S. Agarwal, E. Wolf, “Calculus for functions of noncommuting operators and general phase-space methods in quantum mechanics I. Mapping Theorems and ordering of functions of noncommuting operators”, Physical Review D, 2:10 (1970), 2161–2186 | DOI | MR | Zbl
[2] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, D. Sternheimer, “Deformation theory and quantization. I. Deformations of symplectic structures”, Annals of Physics, 111:1 (1978), 61–110 | DOI | MR | Zbl
[3] J. E. Moyal, “Quantum mechanics as a statistical theory”, Proceedings of the Cambridge Philosophical Society, 45 (1949), 99–124 | DOI | MR | Zbl
[4] H. Omori, “Toward geometric quantum theory”, Progress in Mathematics, v. 252, From Geometry to Quantum Mechanics, eds. Y. Maeda, T. Ochiai, P. Michor, A. Yoshioka, Birkhäuser, Boston, 2007, 213–251 | DOI | MR | Zbl
[5] H. Omori, Y. Maeda, N. Miyazaki, A. Yoshioka, “Strange phenomena related to ordering problems in quantizations”, Journal Lie Theory, 13:2 (2003), 481–510 | MR | Zbl
[6] H. Omori, Y. Maeda, N. Miyazaki, A. Yoshioka, “Orderings and non-formal deformation quantization”, Letters in Mathematical Physics, 82 (2007), 153–175 | DOI | MR | Zbl
[7] H. Omori, Y. Maeda, N. Miyazaki, A. Yoshioka, “Geometric objects in an approach to quantum geometry”, Progress in Mathematics, v. 252, From Geometry to Quantum Mechanics, eds. Y. Maeda, T. Ochiai, P. Michor, A. Yoshioka, Birkhäuser, Boston, 2007, 303–324 | DOI | MR | Zbl
[8] H. Omori, Y. Maeda, N. Miyazaki, A. Yoshioka, “Deformation Expression for Elements of Algebra”, arXiv: math.ph/1104.1708v1
[9] H. Omori, Y. Maeda, N. Miyazaki, A. Yoshioka, “Deformation Expression for Elements of Algebras (II)”, arXiv: math.ph/1105.1218v2