[1]
|
L. D. Landau and E. M. Lifshitz, “Mechanics,” 3rd Edition, Butterworth Heinemann, Oxford, 2000.
|
[2]
|
H. Goldstein, C. Poole and J. Safko, “Classical Mechanics,” 3rd Edition, Addison Wesley, Boston, 2002.
|
[3]
|
V. I. Arnold, “Mathematical Methods of Classical Mechanics,” Springer-Verlag, New York, Heidelberg, Berlin, 1984.
|
[4]
|
D. Bergmann and Y. Frishman, “A Relation between the Hydrogen Atom and Multidimensional Harmonic Oscillators,” Journal of Mathematical Physics, Vol. 44, 1965, pp. 1855-1856. doi:10.1063/1.1704733
|
[5]
|
M. Moshinsky, “Canonical Transformations and Quantum Me-chanics,” Notes of the Latin American School of Physics, Uni-versity of México, México, 1971.
|
[6]
|
M. Moshinsky, T. H. Seligman and K. B. Wolf, “Canonical Transformations and the Radial Oscillator and Coulomb Problems,” Journal of Mathe-matical Physics, Vol. 13, No. 6, 1972, pp. 901-907.
doi:10.1063/1.1666074
|
[7]
|
V. I. Arnol’d, “Huygens and Bar-row, Newton and Hooke,” Birkhauser-Verlag, Basel, 1990.
doi:10.1007/978-3-0348-9129-5
|
[8]
|
K. Bohlin, Bull. Astron. 28, (1911) 144.
|
[9]
|
T. Needham, “Visual Complex Analysis,” Oxford University Press, Oxford, 1997.
|
[10]
|
T. Needham, “Newton and the Transmutation of Force,” The American Ma-thematical Monthly, Vol. 100, No. 2, 1993, p. 119. doi:10.2307/2323768
|
[11]
|
D. R. Stump, “Arnold’s Transfor-mation an Example of a Generalized Canonical Transformation,” Journal of Mathematical Physics, Vol. 39, No. 7, 1998, pp. 3661-3669.
doi:10.1063/1.532458
|
[12]
|
G. F. T. del Castillo, “On the Con-nection between the Kepler Problem and the Isotropic Harmonic Oscillator in Classical Mechanics,” Revista Mexicana de Fisica, Vol. 44, No. 4, 1998, pp. 333-338.
|
[13]
|
G. F. T. del Castillo and F. A. de la Cruz, “Connection between the Kepler Problem and the Maxwell Fish-Eye,” Revista Mexicana de Fisica, Vol. 44, No. 6, 1998, pp. 546-549.
|
[14]
|
G. F. T. del Castillo, D. A. R. álvarez and I. F. Cárcamo, “The Action of Canonical Transformation on Functions Defined on the Configuration Space,” Revista Mexicana de Fisica, Vol. 56, No. 2, 2010, pp. 113-117.
|