Comments on the Dynamics of the Pais-Uhlenbeck Oscillator

Pais A., Uhlenbeck G.E., On field theories with nonlocalized action,

1950

Earlier work this paper cites.

Case K.M., Singular potentials,

1964

Earlier work this paper cites.

Bronzan J.B., Shapiro J.A., Sugar R.L., Reggeon field theory in zero transverse dimensions,

1976

Earlier work this paper cites.

Anderson A., Canonical transformations in quantum mechanics,

1994

Earlier work this paper cites.

Heiss W.D., Exceptional points of non-Hermitian operators,

2004

Cited alongside, same era.

Smilga A.V., Benign versus malicious ghosts in higher-derivative theories,

2005

Cited alongside, same era.

Mannheim P.D., Davidson A., Dirac quantization of the Pais–Uhlenbeck fourth order oscillator,

2005

Cited alongside, same era.

Smilga A.V., 6D superconformal theory as the theory of everything, in Gribov Memorial Volume, Editors Yu.L. Dokshitzer, P. Levai and J. Nyiri, World Scientific, 2006, 443–459,

2006

Cited alongside, same era.

Bolonek K., Kosinski P., Comments on “Dirac quantization of Pais–Uhlenbeck fourth order oscillator”,

Cited in the paper.

Ostrogradsky M., Mémoires sur les équations différentielles relatives au problème des isopérimètres,

Cited in the paper.

Smilga A.V., Ghost-free higher-derivative theory,

2006

Later among the works it cites.

Robert D., Smilga A.V., Supersymmetry versus ghosts,

2008

Closest in time.

Bender C.M., Mannheim P.D., No ghost theorem for the fourth-order derivative Pais–Uhlenbeck oscillator model,

Original

2008

Closest in time.

Bender C.M., Mannheim P.D., Exactly solvable

Original

2008

Closest in time.