Star-product in the presence of a monopole

H. Weyl The theory of Groups and Quantum Mechanics

1928

Earlier work this paper cites.

E.P. Wigner, “On the Quantum Correction for Thermodynamic Equilibrium”, Phys. Rev. 40

Original

1932

Earlier work this paper cites.

H. Grönewold, “On the Principles of Quantum Mechanics”, Physica 12

1946

Earlier work this paper cites.

J. E. Moyal, “Quantum Mechanics as a Statistical Theory,” Proc. Cambridge Phil. Soc. 45

1949

Earlier work this paper cites.

G. S. Agarwal and 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,” Phys. Rev. D 2

1970

Earlier work this paper cites.

J.C. Pool “Mathematical Aspects of the Weyl Correspondence”, J. Math. Phys. 7

1996

Cited alongside, same era.

M. Kontsevich, “Deformation quantization of Poisson manifolds, I,” Lett. Math. Phys. 66

2003

Cited alongside, same era.

G. Esposito, G. Marmo and E.C.G. Sudarshan, From Classical to Quantum Mechanics

2004

Cited alongside, same era.

F. Alexander Bais, “To be or not to be? Magnetic monopoles in non-abelian gauge theories”, in 50 years of Yang–Mills theory

2005

Cited alongside, same era.

G. G. Emch and A. Z. Jadczyk, “On quaternions and monopoles”, arXiv:quant-ph/9803002

Cited in the paper.

V. I. Man’ko, G. Marmo and P. Vitale, “Duality symmetry for star products,” Phys. Lett. A 334

2005

Later among the works it cites.

O. V. Man’ko, V. I. Man’ko, G. Marmo and P. Vitale, “Star products, duality and double Lie algebras,” Phys. Lett. A 360

2007

Later among the works it cites.

V. Gayral, J.M. Gracia-Bondía and J.C. Várilly, “Fourier analysis on the affine group, quantization and noncompact Connes geometries” J. Noncommutative Geom. 2

2008

Later among the works it cites.

J.F. Cariñena, J.M. Gracia-Bondía, F. Lizzi, G. Marmo and P. Vitale, “Monopole-based quantization: a program”, in Mathematical Physics and Field Theory: Julio Abad, in Memoriam

2009

Closest in time.