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One-dimensional quantum mechanics with Dunkl derivative
- Authors
- Chung, Won Sang; Hassanabadi, Hassan
- Issue Date
- 10-Aug-2019
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Dunkl derivative; quantum mechanics
- Citation
- MODERN PHYSICS LETTERS A, v.34, no.24
- Indexed
- SCIE
SCOPUS
- Journal Title
- MODERN PHYSICS LETTERS A
- Volume
- 34
- Number
- 24
- ISSN
- 0217-7323
- 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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