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Dodonov, V.P., Man’ko, V.I. and Skarzhinsky, V.D. (1981) Classically Equivalent Hamiltonians and Ambiguities of Quantization: A Particle in a Magnetic Field. Hadronic Journal, 4, 1734.

has been cited by the following article:

• TITLE: About an Ambiguity Appearing on the Hamiltonian Formulation of Quantum Mechanics

  AUTHORS: Gustavo V. López, Ana Griselda, Carlos R. Martínez-Prieto

  KEYWORDS: Harmonic Oscillator, Quantum Bouncer, Ambiguities in Quantum Mechanics Theory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.6, June 28, 2018

  ABSTRACT: We study classical and quantum dynamics of the symmetric harmonic oscillator and the symmetric bouncer defined in 2-D. For these systems we get each of them for two different constants of motion, two Lagrangians and two Hamiltonians which describe the same classical dynamics. However, the quantization of these systems (using Schrödinger equation), using their two equivalents Hamiltonian, describes different quantum dynamics for each of them. This represents an ambiguity on the Hamiltonian formulation of the Quantum Mechanics.