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Cited 63 time in webofscience Cited 63 time in scopus
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One-dimensional quantum mechanics with Dunkl derivative

Authors
Chung, Won SangHassanabadi, Hassan
Issue Date
10-Aug-2019
Publisher
World Scientific Publishing Co
Keywords
Dunkl derivative; quantum mechanics
Citation
Modern Physics Letters A, v.34, no.24
Indexed
SCI
SCIE
SCOPUS
Journal Title
Modern Physics Letters A
Volume
34
Number
24
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/8854
DOI
10.1142/S0217732319501906
ISSN
0217-7323
1793-6632
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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Chung, Won Sang
자연과학대학 (수학물리학부)
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