One-dimensional quantum mechanics with Dunkl derivative-Reference-Cited by-同舟云学术

One-dimensional quantum mechanics with Dunkl derivative

Published:2019-08-08 Issue:24 Volume:34 Page:1950190
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Chung Won Sang¹,Hassanabadi Hassan²

Affiliation:

1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701, Korea

2. Faculty of Physics, Shahrood University of Technology, Shahrood, Iran

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732319501906

Reference12 articles.

1. Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?

2. A Note on the Quantum Rule of the Harmonic Oscillator

3. Solution of a Three‐Body Problem in One Dimension

4. Solution of the One‐Dimensional N‐Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

5. HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID

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