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Gao, X.-C., Xu, J.-B. and Qian, T.-Z. (1990) Annals of Physics (N.Y.), 204, 235.
https://doi.org/10.1016/0003-4916(90)90128-B

has been cited by the following article:

• TITLE: Classical and Quantum Behavior of Generalized Oscillators in Terms of Linear Canonical Transformations

  AUTHORS: Akihiro Ogura

  KEYWORDS: Quantum Canonical Transformation, Linear Transformation, Generalized Oscillators, Invariant Operator

  JOURNAL NAME: Journal of Modern Physics, Vol.7 No.15, November 29, 2016

  ABSTRACT: The quantum mechanical relationships between time-dependent oscillators, Hamilton-Jacobi theory and an invariant operator are clarified by making reference to a system with a generalized oscillator. We introduce a linear transformation in position and momentum, and show that the correspondence between classical and quantum transformations is exactly one-to-one. We found that classical canonical transformations are constructed from quantum unitary transformations as long as we are concerned with linear transformations. We also show the relationship between the invariant operator and a linear transformation.