About an Ambiguity Appearing on the Hamiltonian Formulation of Quantum Mechanics ()
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.
Share and Cite:
López, G. , Griselda, A. and Martínez-Prieto, C. (2018) About an Ambiguity Appearing on the Hamiltonian Formulation of Quantum Mechanics.
Journal of Applied Mathematics and Physics,
6, 1382-1387. doi:
10.4236/jamp.2018.66115.