https://doi.org/10.1140/epjp/s13360-021-01186-5
Regular Article
New deformed Heisenberg algebra with reflection operator
1
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea
2
Faculty of physics, Shahrood University of Technology, Shahrood, Iran
b
h.hasanabadi@shahroodut.ac.ir
Received:
28
September
2020
Accepted:
1
February
2021
Published online:
20
February
2021
In this paper, a new generalization of Dunkl derivative with three parameters is proposed. With a help of the generalized Dunkl derivative, a new deformed Heisenberg algebra with reflection operator is proposed. The Hilbert space and inner product are well defined for the new deformed Heisenberg algebra, and some physical examples are discussed.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
