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Our purpose in this paper is to analyze the Pais-Uhlenbeck (PU) oscillator using complex canonical transformations.
Thirring W., Regularization as a consequence of higher order equations,
1950
Earlier work this paper cites.
Pais A., Uhlenbeck G.E., On field theories with nonlocalized action,
1950
Earlier work this paper cites.
Heisenberg W., Lee model and quantisation of non linear field theories,
1957
Earlier work this paper cites.
Dirac P.A.M., Lectures on quantum mechanics, Belfast Graduate School of Science, New York, 1964
1964
Earlier work this paper cites.
Stelle K.S., Renormalization of higher-derivative quantum gravity,
1977
Earlier work this paper cites.
Tomboulis E.T., Unitarity in higher derivative quantum gravity,
1984
Earlier work this paper cites.
Jaen X., Llosa J., Molina A., A reduction of order two for infinite order Lagrangians,
1986
Earlier work this paper cites.
Eliezer D.A., Woodard R.P., The problem of nonlocality in string theory,
1989
Earlier work this paper cites.
Simon J.Z., Higher derivative Lagrangians, non-locality, problems and solutions,
1990
Earlier work this paper cites.
Ashtekar A., Lectures on nonperturbative canonical gravity,
1991
Earlier work this paper cites.
Senjanovic P., Path integral quantization of field theories with second class constraints,
1991
Earlier work this paper cites.
Henneaux M., Teitelboim C., Quantization of gauge systems, Princeton University Press, Princeton, 1992
1992
Earlier work this paper cites.
Anderson A., Quantum canonical transformations: physical equivalence of quantum theories,
1993
Earlier work this paper cites.
Anderson A., Canonical transformations in quantum mechanics,
1994
Earlier work this paper cites.
Thiemann T., Reality conditions inducing transforms for quantum gauge field theory and quantum gravity,
1996
Cited alongside, same era.
Ashtekar A., A generalized Wick transform for gravity,
1996
Cited alongside, same era.
Alexandrov S.Y., Vassilevich D.V., Path integral for the Hilbert–Palatini and Ashtekar gravity,
1998
Cited alongside, same era.
Montesinos M., Morales-Técotl H.A., Urrutia L.F., Vergara J.D., Complex canonical gravity and reality constraints,
1999
Cited alongside, same era.
Schwinger J., Quantum mechanics, symbolism of atomic measurements, Springer-Verlag, Berlin, 2001
2001
Cited alongside, same era.
Hawking S.W., Hertog T., Living with ghosts,
2002
Cited alongside, same era.
Codello A., Percacci R., Fixed points of higher-derivative gravity,
2006
Later among the works it cites.
Smilga A.V., Ghost-free higher-derivative theory,
2006
Later among the works it cites.
Antoniadis I., Dudas E., Ghilencea D.M., Living with ghosts and their radiative corrections,
2007
Later among the works it cites.
Berkovits N., New higher-derivative
2007
Later among the works it cites.
Bender C.M., Making sense of non-Hermitian Hamiltonians,
2007
Later among the works it cites.
Thiemann T., Modern canonical quantum general relativity, Cambridge University Press, Cambridge, 2007
2007
Later among the works it cites.
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Moeller N., Zwiebach B., Dynamics with infinitely many time derivatives and rolling tachyons,
2002
Cited alongside, same era.
Cheng T.C., Ho P.M., Yeh M.C., Perturbative approach to higher derivative and nonlocal theories,
2002
Cited alongside, same era.
Rivelles V.O., Triviality of higher derivative theories,
2003
Cited alongside, same era.
Rovelli C., Quantum gravity, Cambridge University Press, Cambridge, 2004
2004
Cited alongside, same era.
Swanson M.S., Transition elements for a non-Hermitian quadratic Hamiltonian,
2004
Cited alongside, same era.
Smilga A.V., Benign vs. malicious ghosts in higher-derivative theories,
2005
Cited alongside, same era.
Ivanov E.A., Smilga A.V., Cryptoreality of nonanticommutative Hamiltonians,
2007
Later among the works it cites.
Mannheim P.D., Solution to the ghost problem in fourth order derivative theories,
2007
Later among the works it cites.
2008
Later among the works it cites.
Bender C.M., Mannheim P.D., Exactly solvable
2008
Later among the works it cites.
Bender C.M., Mannheim P.D., Giving up the ghost,
2008
Later among the works it cites.
Smilga A.V., Comments on the dynamics of the Pais–Uhlenbeck oscillator,
2009
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Smilga A.V., Exceptional points in quantum and classical dynamics,
2009
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