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On the theory of time‐dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type
1.E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge University, Cambridge, 1937), Chap. 9.
2.E. C. G. Sudarshan and N. Mukunda, Classical Dynamics: A Modern Perspective (Wiley, New York, 1974), pp. 35–44.
3.L. A. Pars, A Treatise on Analytical Dynamics (Heinemann, London, 1965), p. 500.
4.M. Moshinsky and C. Quesne, J. Math. Phys. 12, 1772 (1971).
5.M. Moshinsky, T. H. Seligman, and K. B. Wolf, J. Math. Phys. 13, 901 (1972).
6.N. J. Günther and P. G. L. Leach, “Generalized Invariants for the Time‐Dependent Harmonic Oscillator” (to be published in J. Math. Phys.).
7.H. R. Lewis, Jr., Phys. Rev. Lett. 18, 510, 636 (1967).
8.H. R. Lewis, Jr., J. Math. Phys. 9, 1976 (1968).
9.H. R. Lewis, Jr. and W. B. Riesenfeld, J. Math. Phys. 10, 1458 (1969).
10.H. R. Lewis, Jr., Phys. Rev. 172, 1313 (1968). Although it is not stated as such, the writer in fact uses a transformation of the type whose theory is developed here.
11.P. G. L. Leach, “On a Generalization of the Lewis Invariant for the Time‐Dependent Harmonic Oscillator,” La Trobe University Departments of Mathematics preprint (unnumbered).
12.D. M. Fradkin, Am. J. Phys. 33, 207 (1965).
13.D. M. Fradkin, Prog. Theoret. Phys. 37, 798 (1967).
14.N. Mukunda, L. O’Raifeartaigh, and E. C. G. Sudarshan, Phys. Rev. Lett. 15, 1041 (1965).
15.C. L. Mehta and E. C. G. Sudarshan, Phys. Lett. 28, 574 (1964).
16.C. L. Mehta, P. Chand, E. C. G. Sudarshan, and R. Vedam, Phys. Rev. 157, 1198 (1967).
17.E. L. Ince, Ordinary Differential Equations (Dover, New York, 1956), pp. 71, 72.
18.K. B. Wolf, J. Math. Phys. 17, 601 (1976).
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