Chiral decomposition in the non-commutative Landau problem

R. Peierls, “Zur Theorie des Diamagnetismus von Leitungselektronen,” Z. Phys

1933

Earlier work this paper cites.

S. Girvin and T. Jach, “Formalism for the Quantum Hall effect: Hilbert space of analytic functions.” Phys. Rev. B29

1984

Earlier work this paper cites.

R. B. Laughlin, Phys. Rev. Lett. 50

1992

Earlier work this paper cites.

G. V. Dunne, “Hilbert space for charged particles in perpendicular magnetic fields,” Annals Phys. 215

1992

Earlier work this paper cites.

G. Dunne R. Jackiw and C. A. Trugenberger, “Topological (Chern-Simons) quantum mechanics”, Phys. Rev. D41

1993

Earlier work this paper cites.

J.-M. Souriau, Structure des systèmes dynamiques

1997

Earlier work this paper cites.

H. Bacry, J.-M. Lévy-Leblond, “Possible kinematics,” J. Math. Phys. 9

Original

2000

Cited alongside, same era.

P. A. Horváthy, “The non-commutative Landau problem,” Ann. Phys. (N. Y.) 299

2001

Cited alongside, same era.

R. Banerjee, S. Kumar, “Selfduality and soldering in odd dimensions,” Phys. Rev. D60

2002

Cited alongside, same era.

S. Sivasubramanian, G. Srivastava, A. Vitiello, Y. N. Widom, “Quantum dissipation induced noncommutative geometry,” Phys. Lett. A311

2003

Cited alongside, same era.

C. Duval and P. A. Horváthy, “Anyons with anomalous gyromagnetic ratio & the Hall effect,” Phys. Lett. B 594

2005

Cited alongside, same era.

P. D. Alvarez, J. Gomis, K. Kamimura, M. S. Plyushchay, “Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry,” Phys. Lett. B 659

Original

2007

Later among the works it cites.

C. Duval and P. A. Horváthy, “The “Peierls substitution” and the exotic Galilei group.” Phys. Lett. B 479

Original

2010

Later among the works it cites.

P-M. Zhang, P. A. Horvathy, “Kohn condition and exotic Newton-Hooke symmetry in the non-commutative Landau problem,” Phys. Lett. B 706

Original

2012

Closest in time.

P. M. Zhang, G. W. Gibbons and P. A. Horvathy, “Kohn’s theorem and Newton-Hooke symmetry for Hill’s equations,” Phys. Rev. D85

Original

2012

Closest in time.

D. Xiao, M. C. Chang and Q. Niu, “Berry Phase Effects on Electronic Properties,” Rev. Mod. Phys. 82 (2010), 1959, arXiv:0907.2021,