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One-dimensional quantum mechanics with Dunkl derivative
https://doi.org/10.1142/S0217732319501906Cited by:46 (Source: Crossref)
Abstract
In this paper, we consider the quantum mechanics with Dunkl derivative. We use the Dunkl derivative to obtain the coordinate representation of the momentum operator and Hamiltonian. We introduce the scalar product to find that the momentum is Hermitian under this inner product. We study the one-dimensional box problem (the spin-less particle with mass m confined to the one-dimensional infinite wall). Finally, we discuss the harmonic oscillator problem.
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