Ambiguity appearing on the Hamiltonian formulation of Quantum Mechanics
classification
🪐 quant-ph
keywords
differentdynamicshamiltonianquantumsymmetricambiguityappearingbehavior
read the original abstract
For the symmetric harmonic oscillator and the symmetric bouncer defined in 2-D, two different Hamiltonian are given describing the same classical dynamics; however, their quantum dynamics behavior are different.
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