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Shapere and Wilczek recently found some singular Lagrangian systems which spontaneously breaks time translation symmetry.
P.A.M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, 1964)
1964
Earlier work this paper cites.
M. Henneaux, C. Teitelboim, and J. Zanelli, “Quantum mechanics for multivalued Hamiltonians,” Phys. Rev. A36, No.9 (1987) 4417
1987
Earlier work this paper cites.
V.V. Nesterenko, “Singular Lagrangians with higher derivatives,” J. Phys. A: Math. Gen. 22 (1989)1673
1989
Earlier work this paper cites.
V. P. Gerdt and S. A. Gogilidze, “Constrained Hamiltonian Systems and Groebner Bases,” Computer Algebra in Scientific Computing, V.G.Ganzha, E.W.Mayr and E.V.Vorozhtsov, eds., Springer-Verlag, Berlin, 1999, pp.139-146 [arXiv: math/9909113 ]
1999
Cited alongside, same era.
C. Armendariz-Picon, T. Damour, and V. Mukhanov, “k-Inflation,” Phys. Lett. B458: 209-218, 1999 [arXiv: hep-th/9904075 ]
1999
Cited alongside, same era.
A. Shapere and F. Wilczek, “Classical Time Crystals,” arXiv: 1202.2537
Cited in the paper.
A. Shapere and F. Wilczek, “Branched Quantization,” arXiv: 1207.2677
Cited in the paper.
A. D. Shapere, F. Wilczek, and Z. Xiong, “Models of Topology Change,” arXiv: 1210.3545
Cited in the paper.
N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, and S. Mukohyama, “Ghost Condensation and a Consistent Infrared Modification of Gravity,” JHEP 0405 (2004) 074 [arXiv: hep-th/0312099 ]
2004
Later among the works it cites.
J.U. Cisneros-Parra, “On singular lagrangians and Dirac’s method,” Revista Mexicana de Fisica 58 (2012) 61–68
2012
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